Relevant bibliographies by topics / Black holes (Astronomy) – Mathematics

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Black holes (Astronomy) – Mathematics'

Author: Grafiati
Published: 4 June 2021
Last updated: 1 February 2022

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Journal articles on the topic "Black holes (Astronomy) – Mathematics"

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Unruh, W. G. "Dumb holes: analogues for black holes." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 366, no. 1877 (June 5, 2008): 2905–13. http://dx.doi.org/10.1098/rsta.2008.0062.

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The use of sonic analogues to black and white holes, called dumb or deaf holes, to understand the particle production by black holes is reviewed. The results suggest that the black hole particle production is a low-frequency and low-wavenumber process.
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Vaughan, Simon. "Random time series in astronomy." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 371, no. 1984 (February 13, 2013): 20110549. http://dx.doi.org/10.1098/rsta.2011.0549.

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Progress in astronomy comes from interpreting the signals encoded in the light received from distant objects: the distribution of light over the sky (images), over photon wavelength (spectrum), over polarization angle and over time (usually called light curves by astronomers). In the time domain, we see transient events such as supernovae, gamma-ray bursts and other powerful explosions; we see periodic phenomena such as the orbits of planets around nearby stars, radio pulsars and pulsations of stars in nearby galaxies; and we see persistent aperiodic variations (‘noise’) from powerful systems such as accreting black holes. I review just a few of the recent and future challenges in the burgeoning area of time domain astrophysics, with particular attention to persistently variable sources, the recovery of reliable noise power spectra from sparsely sampled time series, higher order properties of accreting black holes, and time delays and correlations in multi-variate time series.
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Du, Yun-Zhi, Hui-Hua Zhao, and Li-Chun Zhang. "Phase Transition of the Horava-Lifshitz AdS Black Holes." International Journal of Theoretical Physics 60, no. 5 (April 28, 2021): 1963–71. http://dx.doi.org/10.1007/s10773-021-04814-z.

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AbstractSome ones have showed the first-order phase transition of the Horava-Lifshitz (HL) AdS black holes has unique characters from other AdS black holes. While the coexistence zone of the first-order phase transition was not exhibited. As well known the coexistence curve of a black hole carries a lot of information about black hole, which provides a powerful diagnostic of the thermodynamic properties on black hole. We study the first-order phase transition coexistence curves of the HL AdS black holes by the Maxwell’s equal-area law, and give the boundary of two-phase coexistence zone. It is very interesting that the first-order phase transition point is determined by the pressure F on the surface of the HL AdS black hole’s horizon, instead of only the pressure P (or the temperature T). This unique property distinguishes the HL AdS black hole from the other AdS black hole systems. Furthermore, this black hole system have the critical curves, and on which every point stands for a critical point.
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Chandrasekhar, S., and Kip S. Thorne. "The Mathematical Theory of Black Holes." American Journal of Physics 53, no. 10 (October 1985): 1013–15. http://dx.doi.org/10.1119/1.13992.

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Jamil, Mubasher. "Black Holes in Accelerated Universe." International Journal of Theoretical Physics 49, no. 8 (May 14, 2010): 1706–11. http://dx.doi.org/10.1007/s10773-010-0350-1.

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Rosen, Gerald. "Black holes associated with galaxies." International Journal of Theoretical Physics 30, no. 11 (November 1991): 1517–20. http://dx.doi.org/10.1007/bf00675615.

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Booth, Ivan. "Black-hole boundaries." Canadian Journal of Physics 83, no. 11 (November 1, 2005): 1073–99. http://dx.doi.org/10.1139/p05-063.

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Classical black holes and event horizons are highly nonlocal objects, defined in relation to the causal past of future null infinity. Alternative, quasilocal characterizations of black holes are often used in mathematical, quantum, and numerical relativity. These include apparent, Killing, trapping, isolated, dynamical, and slowly evolving horizons. All of these are closely associated with two-surfaces of zero outward null expansion. This paper reviews the traditional definition of black holes and provides an overview of some of the more recent work on alternative horizons.PACS Nos.: 04.20.Cv, 04.70.–s, 04.70.Bw
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AHN, EUN-JOO, and MARCO CAVAGLIÀ. "COSMIC BLACK HOLES." International Journal of Modern Physics D 12, no. 09 (October 2003): 1699–704. http://dx.doi.org/10.1142/s0218271803004006.

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Production of high-energy gravitational objects is a common feature of gravitational theories. The primordial universe is a natural setting for the creation of black holes and other nonperturbative gravitational entities. Cosmic black holes can be used to probe physical properties of the very early universe which would usually require the knowledge of the theory of quantum gravity. They may be the only tool to explore thermalization of the early universe. Whereas the creation of cosmic black holes was active in the past, it seems to be negligible at the present epoch.
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Lavenda, B. H., and J. Dunning-Davies. "Stefan-Boltzmann law for black bodies and black holes." International Journal of Theoretical Physics 29, no. 5 (May 1990): 501–14. http://dx.doi.org/10.1007/bf00673939.

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Vafa, Cumrun. "Black holes and Calabi–Yau threefolds." Advances in Theoretical and Mathematical Physics 2, no. 1 (1998): 207–18. http://dx.doi.org/10.4310/atmp.1998.v2.n1.a8.

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Dissertations / Theses on the topic "Black holes (Astronomy) – Mathematics"

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Bray, Igor. "The gravitational lens effect of galaxies and black holes /." Title page, contents and abstract only, 1986. http://web4.library.adelaide.edu.au/theses/09PH/09phb8265.pdf.

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Vika, Marina. "Supermassive black holes : the local supermassive black hole mass function." Thesis, University of St Andrews, 2012. http://hdl.handle.net/10023/2553.

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Over recent years there has been an increase of the number of secure supermassive black hole (SMBH) detections. These SMBH measurements have lead astronomers to establish well defined empirical relationships between the SMBH mass and some of the properties of the host galaxy. The number of galaxies with SMBH mass measurements is currently limited to about 100. One approach of expanding the study of the SMBH is to use the empirical relations for estimating M[subscript(bh)] for larger samples of galaxies. The investigation of the SMBH population (or SMBH mass function) for large sample of galaxies in the nearby universe has helped to constrain the SMBH and the galaxy evolution. Previous estimates of the SMBH mass function at low redshift were produced mainly by combining the measurements of the galaxy luminosity or velocity function with one of the SMBH scaling relations. In the first part of the thesis I will present an independent construction of the nearby supermassive black hole mass function by applying the optical M[subscript(bh)]–L relation onto the Millennium Galaxy Catalogue (MGC). Additionally, in the second part I will provide photometric analysis of all UKIDSS galaxies for which SMBH masses have been measured. I will derive composite profiles of brightness, ellipticity and position angles of each galaxy. I will show that the Sérsic function fits the brightness profile of the majority of the elliptical galaxies and the bulge of disk galaxies and I will provide alternative multi-component fits when necessary. Then these photometric parameters will be used for constructing the M[subscript(bh)]–L relation in the near-IR and to investigate the M[subscript(bh)]–n relation. In the third part I will construct the near-IR SMBH mass function for the Galaxy and Mass Assembly (GAMA) survey. For this purpose I will apply the newly derived M[subscript(bh)]–L relation onto an elliptical subsample of K-band images. The advantage of this SMBH mass function is that during the M[subscript(bh)]–L construction I used the same quality images and techniques used on the GAMA survey. Apart from the M[subscript(bh)]–L relation, the M[subscript(bh)]–sigma relation was used as an alternative approach for a subsample of galaxies for which the velocity dispersions were available. Furthermore, I employed both local SMBH mass functions (MGC & GAMA) for estimating the SMBH mass density at redshift zero and accounted for the dependence of the total SMBH density on the look-back time by comparing with semi-analytic SMBH mass functions. Finally, from the SMBH mass density I estimated the baryon fraction that is locked into SMBHs.
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Cattoën, Céline. "Applied mathematics of space-time & space+time : problems in general relativity and cosmology : a thesis submitted to the Victoria University of Wellington in fulfilment of the requirements for the degree of Doctor of Philosophy in Mathematics /." ResearchArchive@Victoria e-thesis, 2009. http://hdl.handle.net/10063/972.

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Murugan, Anand. "Fuzzy blackholes." Pomona College, 2007. http://ccdl.libraries.claremont.edu/u?/stc,18.

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The fuzzball model of a black hole is an attempt to resolve the many paradoxes and puzzles of black hole physics that have revealed themselves over the last century. These badly behaved solutions of general relativity have given physicists one of the few laboratories to test candidate quantum theories of gravity. Though little is known about exactly what lies beyond the event horizon, and what the ultimate fate of matter that falls in to a black hole is, we know a few intriguing and elegant semi-classical results that have kept physicists occupied. Among these are the known black hole entropy and the Hawking radiation process.
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Farrell, Conor. "Simulating ultracold matter : horizons and slow light." Thesis, St Andrews, 2008. http://hdl.handle.net/10023/416.

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Robertson, Scott James. "Hawking radiation in dispersive media." Thesis, University of St Andrews, 2011. http://hdl.handle.net/10023/1900.

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Hawking radiation, despite its presence in theoretical physics for over thirty years, remains elusive and undetected. It also suffers, in its original context of gravitational black holes, from conceptual difficulties. Of particular note is the trans-Planckian problem, which is concerned with the apparent origin of the radiation in absurdly high frequencies. In order to gain better theoretical understanding and, it is hoped, experimental verification of Hawking radiation, much study is being devoted to systems which model the spacetime geometry of black holes, and which, by analogy, are also thought to emit Hawking radiation. These analogue systems typically exhibit dispersion, which regularizes the wave behaviour at the horizon but does not lend itself well to analytic treatment, thus rendering Hawking’s prediction less secure. A general analytic method for dealing with Hawking radiation in dispersive systems has proved difficult to find. This thesis presents new numerical and analytic results for Hawking emission spectra in dispersive systems. It examines two black-hole analogue systems: it begins by introducing the well-known acoustic model, presenting some original results in that context; then, through analogy with the acoustic model, goes on to develop the lesser-known fibre-optical model. The following original results are presented in the context of both of these models: • an analytic expression for the low-frequency temperature is found for a hyperbolic tangent background profile, valid in the entire parameter space; it is well-known that the spectrum is approximately thermal at low frequencies, but a universally valid expression for the corresponding temperature is an original development; • an analytic expression for the spectrum, valid over almost the entire frequency range, when the velocity profile parameters lie in the regime where the low-frequency temperature is given by the Hawking prediction; previous work has focused on the low-frequency thermal spectrum and the characterization of the deviations from thermality, rather than a single analytic expression; and • a new unexplored regime where no group-velocity horizon exists is examined; the Hawking spectra are found to be non-zero here, but also highly non-thermal, and are found, in the limit of small deviations, to vary with the square of the maximum deviation; the analytic expression for the case with a horizon is found to carry over to this new regime, with appropriate modifications. Furthermore, the thesis examines the results of a classical frequency-shifting experiment in the context of fibre-optical horizons. The theory of this process is presented for both a constant-velocity and a constantly-decelerating pulse, the latter case taking account of the Raman effect. The resulting spectra are at least qualititively explained, but there is a discrepancy between theory and experiment that has not yet been accounted for.
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Michaud, Guy 1971. "Two-dimensional dilation black holes." Thesis, McGill University, 1995. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=22776.

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In this thesis, we study toy models of two-dimensional gravity. We first review two known models: the classical and quantum corrected CGHS models and the quantum corrected model of RST. These two models have black holes solutions with curvature singularities, similar to the Schwartzschild black hole. This singularity becomes naked in the RST model at a certain event during the evaporation. In the third chapter, we build a more general version with new quantum corrections beyond those presented in the RST model, which enable us to find a model without curvature singularities. We will also see that these new quantum corrections can affect the rate of Hawking radiation flowing from the black hole.
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Yi, Qiang. "The cosmological evolution of supermassive black holes." Thesis, University of Oxford, 2011. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.559791.

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In this thesis we investigate selection effects in astrophysical observations. We demonstrate that the determination of the quasar black hole mass function and Eddington ratio distribution via observations are biased. By modelling the quasar selection function and the black hole mass measurement process we show that one is able to infer the true distribution of physical quantities from observations. We present the intrinsic accretion rates of AGN, the intrinsic accretion rates and the black hole mass function for optically selected quasars up to redshift of two. The results show that the Eddington limit continues to be a real physical limit to black hole accretion. We present a new upper limit of black hole masses from the inferred intrinsic black hole mass function and demonstrate the need of a mass dependent accretion rate in accordance with down sizing. Finally we investigate correlations between radio luminosity and observed black hole mass for optically selected quasars. We first show that mixing of fiat and steep spectrum quasars leads to results that are dependent on the observing frequency, and therefore should be treated with caution. We demonstrate that beaming of the radio core together with an orientation dependent optical selection effect can give rise to a bimodal distribution in the radio luminosities of optically selected quasars.
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Liu, Siming. "Accretion processes around supermassive black holes." Diss., The University of Arizona, 2002. http://hdl.handle.net/10150/289825.

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Active Galactic Nuclei (AGNs) are believed to be powered by accretion onto supermassive black holes (BHs). With the development in high resolution observations over a broad frequency range, it is now tenable to study the corresponding physical processes in detail. We find that the emission from the closest supermassive BH candidate, Sagittarius A*, a compact radio source presumably accreting from stellar winds prevailing at the Galactic Center, can be explained as due to a quasi-spherical accretion flow, which circularizes to form a small magnetized accretion disk near the BH's event horizon. The mm/sub-mm and X-ray emissions are produced via thermal synchrotron processes and their self-Comptonization, respectively, in the inner ten Schwarzschild radii of the resultant Keplerian structure. The cm radio emission, however, appears to be produced by non-thermal synchrotron processes in the circularization zone. The recently detected X-ray flare seems to indicate a transient enhancement of mass accretion rate through the inner accretion disk. The 106-day cycle seen at 2.0 cm and 1.3 cm, on the other hand, suggests that the disk is precessing around a spinning BH, whose spin may be determined by timing observation of Sgr A* at mm/sub-mm wavelengths. Our tentative observational result is consistent with this magnetized disk model. The supermassive BH M31*, a compact radio source in the nucleus of M31, has many features in common with Sgr A*, yet their differences are significant. We show that the accretion model being developed for Sgr A* comprises two branches of solutions, distinguished by the relative importance of cooling compared to compressional heating at the capture radius. Sgr A* is presumably a 'hot' BH. While M31* seems to be a member of the 'cold' BH family. The study of the nuclei in radio galaxies reveals many new characteristics of the large scale accretion flows. In NGC 4261, we show that a turbulence-dominated disk, illuminated by its AGN, can not only account for the observed sub-parsec scale radio gap in the core, but also produce the optical broad lines emitted from the region. However, the prominent radio jets distinguish such BHs from those in the compact radio sources. The relativistic jets are probably driven by the action of supermassive, fast spinning BHs. Our study on NGC 6251* indicates that the initial ejection of matter can be associated with the thermal expansion of the accreted gas, which is heated by a spinning BH near its even horizon.
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Kara, Erin. "X-ray reverberation around accreting black holes." Thesis, University of Cambridge, 2016. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.709535.

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Books on the topic "Black holes (Astronomy) – Mathematics"

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Black hole uniqueness theorems. Cambridge: Cambridge University Press, 1996.

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S, Chandrasekhar. The mathematical theory of black holes. New York: Oxford University Press, 1992.

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The geometry of Kerr black holes. Boston: Jones and Bartlett Publishers, 1992.

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The geometry of Kerr black holes. Wellesley, Mass: A.K. Peters, 1995.

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Horowitz, Gary T. Black holes in higher dimensions. New York: Cambridge University Press, 2012.

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The formation of black holes in general relativity. Züich, Switzerland: European Mathematical Society, 2009.

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Hemsendorf, Marc. Dynamics of black holes in galactic centres. Aachen: Shaker, 2000.

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The mathematical theory of black holes and of colliding plane waves. Chicago: University of Chicago Press, 1991.

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Cracking the Einstein code. Chicago: The University of Chicago Press, 2009.

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Kunze, K. E. (Kerstin E.), Mars M. (Marc), and Vázquez-Mozo, M. A. (Miguel A.), eds. Physics and mathematics of gravitation: Proceedings of the Spanish Relativity Meeting 2008 = Encuentros Relativistas Españoles 2008, Salamanca, Spain 15-19 September 2008. Melville, N.Y: American Institute of Physics, 2009.

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Book chapters on the topic "Black holes (Astronomy) – Mathematics"

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Kippenhahn, Rudolf, Alfred Weigert, and Achim Weiss. "Black Holes." In Astronomy and Astrophysics Library, 509–16. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-30304-3_39.

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Raychaudhuri, A. K., S. Banerji, and A. Banerjee. "Black Holes." In Astronomy and Astrophysics Library, 175–91. New York, NY: Springer New York, 1992. http://dx.doi.org/10.1007/978-1-4612-2754-0_14.

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Kippenhahn, Rudolf, and Alfred Weigert. "Black Holes." In Astronomy and Astrophysics Library, 390–95. Berlin, Heidelberg: Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/978-3-642-61523-8_37.

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Punsly, Brian. "NP Black Holes." In Astronomy and Astrophysics Library, 353–86. Berlin, Heidelberg: Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/978-3-662-04409-4_11.

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Moran, J. M. "H2O Megamasers and Black Holes." In Highlights of Astronomy, 956–59. Dordrecht: Springer Netherlands, 1998. http://dx.doi.org/10.1007/978-94-011-4778-1_106.

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van der Marel, Roeland P. "Black Holes in Galactic Nuclei." In Highlights of Astronomy, 527–30. Dordrecht: Springer Netherlands, 1995. http://dx.doi.org/10.1007/978-94-010-9374-3_97.

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Nampalliwar, Sourabh, and Cosimo Bambi. "Accreting Black Holes." In Tutorial Guide to X-ray and Gamma-ray Astronomy, 15–54. Singapore: Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-6337-9_2.

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Glendenning, Norman K. "Compact Stars: From Dwarfs to Black Holes." In Astronomy and Astrophysics Library, 70–186. New York, NY: Springer New York, 2007. http://dx.doi.org/10.1007/978-0-387-47109-9_4.

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Kazanas, D. "The Chaotic Light Curves of Accreting Black Holes." In Chaos in Astronomy, 375–85. Berlin, Heidelberg: Springer Berlin Heidelberg, 2008. http://dx.doi.org/10.1007/978-3-540-75826-6_39.

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van Putten, Maurice H. P. M. "Accretion Flows onto Black Holes." In Introduction to Methods of Approximation in Physics and Astronomy, 291–315. Singapore: Springer Singapore, 2017. http://dx.doi.org/10.1007/978-981-10-2932-5_11.

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Conference papers on the topic "Black holes (Astronomy) – Mathematics"

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Kopáček, Ondřej, Jiří Kovář, Vladimír Karas, Zdeněk Stuchlík, Manuel de León, D. M. de Diego, and R. M. Ros. "Recurrence plots and chaotic motion around Kerr black hole." In MATHEMATICS AND ASTRONOMY: A JOINT LONG JOURNEY: Proceedings of the International Conference. AIP, 2010. http://dx.doi.org/10.1063/1.3506071.

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Blandford, Roger. "Black Holes as Cosmic Dynamos." In International Conference on Black Holes as Cosmic Batteries: UHECRs and Multimessenger Astronomy. Trieste, Italy: Sissa Medialab, 2019. http://dx.doi.org/10.22323/1.329.0025.

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Rieger, Frank M., Felix A. Aharonian, Werner Hofmann, and Frank Rieger. "On Supermassive Binary Black Holes in AGNs." In HIGH ENERGY GAMMA-RAY ASTRONOMY: Proceedings of the 4th International Meeting on High Energy Gamma-Ray Astronomy. AIP, 2008. http://dx.doi.org/10.1063/1.3076754.

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Schroedter, M., F. Krennrich, S. LeBohec, A. Falcone, S. Fegan, D. Horan, J. Kildea, et al. "Search for Primordial Black Holes with SGARFACE." In HIGH ENERGY GAMMA-RAY ASTRONOMY: Proceedings of the 4th International Meeting on High Energy Gamma-Ray Astronomy. AIP, 2008. http://dx.doi.org/10.1063/1.3076773.

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Corda, Christian. "Bohr-like black holes." In PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014). AIP Publishing LLC, 2015. http://dx.doi.org/10.1063/1.4912308.

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Corda, Christian. "Bohr-like black holes." In PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014). AIP Publishing LLC, 2015. http://dx.doi.org/10.1063/1.4912728.

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Gavignaud, I., L. Wisotzki, M. Schramm, N. Mebarki, and J. Mimouni. "Co-evolution of black holes and galaxies." In THE THIRD ALGERIAN WORKSHOP ON ASTRONOMY AND ASTROPHYSICS. AIP, 2010. http://dx.doi.org/10.1063/1.3518326.

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Lamri, S., S. Kalli, J. Mimouni, N. Mebarki, and J. Mimouni. "Mini Black Holes Decay in the Atmosphere." In THE THIRD ALGERIAN WORKSHOP ON ASTRONOMY AND ASTROPHYSICS. AIP, 2010. http://dx.doi.org/10.1063/1.3518347.

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Fabrika, S., A. Kostenkov, K. Atapin, Yu Solovyeva, A. Kniazev, O. Sholukhova, and A. Sarkisyan. "Very Massive Stars and Intermediate Mass Black Holes." In Groud-Based Astronomy in Russia. 21st Century. Специальная астрофизическая обсерватория РАН, 2020. http://dx.doi.org/10.26119/978-5-6045062-0-2_2020_247.

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Barbón, J. L. F., Kerstin E. Kunze, Marc Mars, and Miguel Angel Vázquez-Mozo. "Black Holes, Information and Holography." In PHYSICS AND MATHEMATICS OF GRAVITATION: Proceedings of the Spanish Relativity Meeting 2008. AIP, 2009. http://dx.doi.org/10.1063/1.3141233.

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