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Books on the topic 'Relativity and gravitational theory – General relativity – Black holes'

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Published: 4 June 2021
Last updated: 3 March 2023

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1

Chow, Tai L. Gravity, black holes, and the very early universe: An introduction to general relativity and cosmology. New York: Springer, 2008.

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2

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

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3

Berman, Marcelo Samuel. A primer in black holes, Mach's principle and gravitational energy. New York: Nova Science Publishers, 2008.

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4

Luminet, Jean-Pierre. Black holes. Cambridge [England]: Cambridge University Press, 1992.

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5

Ellwood, D. (David), 1966- editor of compilation, Rodnianski, Igor, 1972- editor of compilation, Staffilani, Gigliola, 1966- editor of compilation, and Wunsch, Jared, editor of compilation, eds. Evolution equations: Clay Mathematics Institute Summer School, evolution equations, Eidgenössische Technische Hochschule, Zürich, Switzerland, June 23-July 18, 2008. Providence, Rhode Island: American Mathematical Society, 2013.

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6

P, Minicozzi William, ed. A course in minimal surfaces. Providence, R.I: American Mathematical Society, 2011.

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7

Steane, Andrew M. Relativity Made Relatively Easy Volume 2. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780192895646.001.0001.

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This is a textbook on general relativity and cosmology for a physics undergraduate or an entry-level graduate course. General relativity is the main subject; cosmology is also discussed in considerable detail (enough for a complete introductory course). Part 1 introduces concepts and deals with weak-field applications such as gravitation around ordinary stars, gravimagnetic effects and low-amplitude gravitational waves. The theory is derived in detail and the physical meaning explained. Sources, energy and detection of gravitational radiation are discussed. Part 2 develops the mathematics of differential geometry, along with physical applications, and discusses the exact treatment of curvature and the field equations. The electromagnetic field and fluid flow are treated, as well as geodesics, redshift, and so on. Part 3 then shows how the field equation is solved in standard cases such as Schwarzschild-Droste, Reissner-Nordstrom, Kerr, and internal stellar structure. Orbits and related phenomena are obtained. Black holes are described in detail, including horizons, wormholes, Penrose process and Hawking radiation. Part 4 covers cosmology, first in terms of metric, then dynamics, structure formation and observational methods. The meaning of cosmic expansion is explained at length. Recombination and last scattering are calculated, and the quantitative analysis of the CMB is sketched. Inflation is introduced briefly but quantitatively. Part 5 is a brief introduction to classical field theory, including spinors and the Dirac equation, proceeding as far as the Einstein-Hilbert action. Throughout the book the emphasis is on making the mathematics as clear as possible, and keeping in touch with physical observations.
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8

Deruelle, Nathalie, and Jean-Philippe Uzan. Relativity in Modern Physics. Translated by Patricia de Forcrand-Millard. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198786399.001.0001.

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Newton’s ideas about how to represent space and time, his laws of dynamics, and his theory of gravitation established the conceptual foundation from which modern physics developed. This book offers a modern view of Newtonian theory, emphasizing those aspects needed for understanding quantum and relativistic contemporary physics. In 1905, Albert Einstein proposed a novel representation of space and time, special relativity. The text also presents relativistic dynamics in inertial and accelerated frames, as well as a detailed overview of Maxwell’s theory of electromagnetism, thus providing the background necessary for studying particle and accelerator physics, astrophysics, and Einstein’s theory of general relativity. In 1915, Einstein proposed a new theory of gravitation, general relativity. Finally, the text develops the geometrical framework in which Einstein’s equations are formulated and presents several key applications: black holes, gravitational radiation, and cosmology.
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9

d'Inverno, Ray, and James Vickers. Introducing Einstein's Relativity. 2nd ed. Oxford University PressOxford, 2022. http://dx.doi.org/10.1093/oso/9780198862024.001.0001.

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Abstract The aim of this book is to provide the reader with a sound mathematical introduction to Einstein’s theory of relativity, both special relativity and general relativity, as well as an understanding of the physical insights needed to explore the subject and the principles that guided Einstein in his search for the general theory of relativity. A feature of the book is that it has the numerous illustrative diagrams and exercises (of varying degrees of difficulty) which help the reader develop insight and confidence in using the mathematics. The book starts out by introducing special relativity and then the mathematics required for the rest of the book is carefully introduced. The principles underlying general relativity are introduced and it is shown how these lead to the basic field equations. These are then discussed and solved in some simple but physically important situations. The final three sections deal with the major applications of the theory and cover the topics of black holes, gravitational waves, and cosmology. These sections further develop the theory but also relate the theoretical predictions to current observations. These include the recent observation of gravitational waves by LIGO, evidence for supermassive black holes at the centre of most galaxies and the detailed observations of the cosmic microwave background that provide the evidence for modern cosmology.
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10

Cowen, Ron. Gravity's Century: From Einstein's Eclipse to Images of Black Holes. Harvard University Press, 2019.

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11

Gravity's Century: From Einstein's Eclipse to Images of Black Holes. Harvard University Press, 2019.

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12

Chow, Tai L. Gravity, Black Holes, and the Very Early Universe: An Introduction to General Relativity and Cosmology. Springer, 2010.

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13

Gravity, Black Holes, and the Very Early Universe: An Introduction to General Relativity and Cosmology. Springer, 2007.

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14

Blundell, Katherine. 3. Characterizing black holes. Oxford University Press, 2015. http://dx.doi.org/10.1093/actrade/9780199602667.003.0003.

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‘Characterizing black holes’ describes the two different types of black holes: Schwarzschild black holes that do not rotate and Kerr black holes that do. The only distinguishing characteristics of black holes are their mass and their spin. A remarkable feature of a spinning black hole is that the gravitational field pulls objects around the black hole’s axis of rotation, not merely in towards its centre—an effect called frame dragging. The static limit and ergosphere regions of black holes are also described. Einstein’s equations of General Relativity allow many different solutions describing alternative versions of curved spacetime. Could white holes and worm holes exist in our universe?
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15

Geometric Relativity. American Mathematical Society, 2019.

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16

Geometric Relativity. American Mathematical Society, 2019.

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17

Maggiore, Michele. Gravitational Waves. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198570899.001.0001.

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A comprehensive and detailed account of the physics of gravitational waves and their role in astrophysics and cosmology. The part on astrophysical sources of gravitational waves includes chapters on GWs from supernovae, neutron stars (neutron star normal modes, CFS instability, r-modes), black-hole perturbation theory (Regge-Wheeler and Zerilli equations, Teukoslky equation for rotating BHs, quasi-normal modes) coalescing compact binaries (effective one-body formalism, numerical relativity), discovery of gravitational waves at the advanced LIGO interferometers (discoveries of GW150914, GW151226, tests of general relativity, astrophysical implications), supermassive black holes (supermassive black-hole binaries, EMRI, relevance for LISA and pulsar timing arrays). The part on gravitational waves and cosmology include discussions of FRW cosmology, cosmological perturbation theory (helicity decomposition, scalar and tensor perturbations, Bardeen variables, power spectra, transfer functions for scalar and tensor modes), the effects of GWs on the Cosmic Microwave Background (ISW effect, CMB polarization, E and B modes), inflation (amplification of vacuum fluctuations, quantum fields in curved space, generation of scalar and tensor perturbations, Mukhanov-Sasaki equation,reheating, preheating), stochastic backgrounds of cosmological origin (phase transitions, cosmic strings, alternatives to inflation, bounds on primordial GWs) and search of stochastic backgrounds with Pulsar Timing Arrays (PTA).
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18

Deruelle, Nathalie, and Jean-Philippe Uzan. The physics of black holes II. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198786399.003.0050.

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This chapter gives a brief description of Hawking radiation, which involves a combination of general relativity and quantum field theory and leads to a thermodynamical interpretation of the laws governing the evolution of black holes. The study of the Penrose process near a Kerr black hole leads to the conclusion that its irreducible mass can only increase. A similar but more general conclusion was reached by Hawking, who showed that the sum of the areas of the horizons of black holes interacting with matter can only increase, with the condition that the cosmic censorship hypothesis is valid and that the matter obeys the so-called weak energy condition. The chapter concludes with the Israel theorem, which allows one to argue that if gravitation is described by general relativity, then not only do black holes exist, but all black holes are represented by the Kerr–Schwarzschild solution.
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19

Wittman, David M. Beyond the Schwarzschild Metric. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199658633.003.0019.

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General relativity explains much more than the spacetime around static spherical masses.We briefly assess general relativity in the larger context of physical theories, then explore various general relativistic effects that have no Newtonian analog. First, source massmotion gives rise to gravitomagnetic effects on test particles.These effects also depend on the velocity of the test particle, which has substantial implications for orbits around black holes to be further explored in Chapter 20. Second, any changes in the sourcemass ripple outward as gravitational waves, and we tell the century‐long story from the prediction of gravitational waves to their first direct detection in 2015. Third, the deflection of light by galaxies and clusters of galaxies allows us to map the amount and distribution of mass in the universe in astonishing detail. Finally, general relativity enables modeling the universe as a whole, and we explore the resulting Big Bang cosmology.
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20

Guidry, Mike. Modern General Relativity: Black Holes, Gravitational Waves, and Cosmology. Cambridge University Press, 2020.

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21

Modern General Relativity: Black Holes, Gravitational Waves, and Cosmology. Cambridge University Press, 2019.

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22

Hall, Michael J. W. General Relativity: An Introduction to Black Holes, Gravitational Waves, and Cosmology. Morgan & Claypool Publishers, 2018.

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23

Hall, Michael J. W. General Relativity: An Introduction to Black Holes, Gravitational Waves, and Cosmology. IOP Concise Physics, 2018.

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24

Hall, Michael J. W. General Relativity: An Introduction to Black Holes, Gravitational Waves, and Cosmology. Morgan & Claypool Publishers, 2018.

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25

Choquet-Bruhat, Yvonne. Introduction to General Relativity Black Holes and Cosmology. Oxford University Press, 2014.

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26

Choquet-Bruhat, Yvonne. Introduction to General Relativity, Black Holes and Cosmology. Oxford University Press, 2014.

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27

Introduction to General Relativity, Black Holes and Cosmology. Oxford University Press, Incorporated, 2014.

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28

Ferrari, Valeria, Paolo Pani, and Leonardo Gualtieri. General Relativity and Its Applications: Black Holes, Compact Stars and Gravitational Waves. Taylor & Francis Group, 2020.

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29

Ferrari, Valeria, Paolo Pani, and Leonardo Gualtieri. General Relativity and Its Applications: Black Holes, Compact Stars and Gravitational Waves. Taylor & Francis Group, 2020.

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30

Ferrari, Valeria, Paolo Pani, and Leonardo Gualtieri. General Relativity and Its Applications: Black Holes, Compact Stars and Gravitational Waves. Taylor & Francis Group, 2020.

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31

General Relativity and Its Applications: Black Holes, Compact Stars and Gravitational Waves. Taylor & Francis Group, 2020.

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32

Kyutoku, Koutarou. The Black Hole-Neutron Star Binary Merger in Full General Relativity: Dependence on Neutron Star Equations of State. Springer, 2013.

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33

Kyutoku, Koutarou. The Black Hole-Neutron Star Binary Merger in Full General Relativity: Dependence on Neutron Star Equations of State. Springer, 2015.

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34

Kyutoku, Koutarou. Black Hole-Neutron Star Binary Merger in Full General Relativity: Dependence on Neutron Star Equations of State. Springer London, Limited, 2013.

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35

Is Einstein Still Right?: Black Holes, Gravitational Waves, and the Quest to Verify Einstein's Greatest Creation. Oxford University Press, 2020.

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36

Mee, Nicholas. The Cosmic Mystery Tour. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780198831860.001.0001.

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The Cosmic Mystery Tour is a brief account of modern physics and astronomy presented in a broad historical and cultural context. The book is attractively illustrated and aimed at the general reader. Part I explores the laws of physics including general relativity, the structure of matter, quantum mechanics and the Standard Model of particle physics. It discusses recent discoveries such as gravitational waves and the project to construct LISA, a space-based gravitational wave detector, as well as unresolved issues such as the nature of dark matter. Part II begins by considering cosmology, the study of the universe as a whole and how we arrived at the theory of the Big Bang and the expanding universe. It looks at the remarkable objects within the universe such as red giants, white dwarfs, neutron stars and black holes, and considers the expected discoveries from new telescopes such as the Extremely Large Telescope in Chile, and the Event Horizon Telescope, currently aiming to image the supermassive black hole at the galactic centre. Part III considers the possibility of finding extraterrestrial life, from the speculations of science fiction authors to the ongoing search for alien civilizations known as SETI. Recent developments are discussed: space probes to the satellites of Jupiter and Saturn; the discovery of planets in other star systems; the citizen science project SETI@Home; Breakthrough Starshot, the project to develop technologies to send spacecraft to the stars. It also discusses the Fermi paradox which argues that we might actually be alone in the cosmos
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37

Einstein's Unfinished Symphony: The Story of a Gamble, Two Black Holes, and a New Age of Astronomy. 2017.

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38

Bartusiak, Marcia. Einstein's Unfinished Symphony: The Story of a Gamble, Two Black Holes, and a New Age of Astronomy. Yale University Press, 2017.

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39

Wittman, David M. The Elements of Relativity. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199658633.001.0001.

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Relativity is a set of remarkable insights into the way space and time work. The basic notion of relativity, first articulated by Galileo, explains why we do not feel Earth moving as it orbits the Sun and was successful for hundreds of years. We present thinking tools that elucidate Galilean relativity and prepare us for the more modern understanding. We then show how Galilean relativity breaks down at speeds near the speed of light, and follow Einstein’s steps in working out the unexpected relationships between space and time that we now call special relativity. These relationships give rise to time dilation, length contraction, and the twin “paradox” which we explain in detail. Throughout, we emphasize how these effects are tightly interwoven logically and graphically. Our graphical understanding leads to viewing space and time as a unified entity called spacetime whose geometry differs from that of space alone, giving rise to these remarkable effects. The same geometry gives rise to the energy?momentum relation that yields the famous equation E = mc2, which we explore in detail. We then show that this geometric model can explain gravity better than traditional models of the “force” of gravity. This gives rise to general relativity, which unites relativity and gravity in a coherent whole that spawns new insights into the dynamic nature of spacetime. We examine experimental tests and startling predictions of general relativity, from everyday applications (GPS) to exotic phenomena such as gravitomagnetism, gravitational waves, Big Bang cosmology, and especially black holes.
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40

Susskind, Leonard. Black Hole War: My Battle with Stephen Hawking to Make the World Safe for Quantum Mechanics. Little Brown & Company, 2008.

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41

Susskind, Leonard. The Black Hole War: My Battle with Stephen Hawking to Make the World Safe for Quantum Mechanics. Back Bay Books, 2009.

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42

Susskind, Leonard. The Black Hole War: My Battle with Stephen Hawking to Make the World Safe for Quantum Mechanics. Little, Brown and Company, 2008.

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43

Susskind, Leonard. Trous noirs : La guerre des savants. Robert Laffont, 2010.

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44

Der Krieg um das Schwarze Loch: Wie ich mit Stephen Hawking um die Rettung der Quantenmechanik rang. Berlin, Germany: Suhrkamp Verlag, 2010.

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45

Deruelle, Nathalie, and Jean-Philippe Uzan. The two-body problem: an effective-one-body approach. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198786399.003.0056.

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This chapter presents the basics of the ‘effective-one-body’ approach to the two-body problem in general relativity. It also shows that the 2PN equations of motion can be mapped. This can be done by means of an appropriate canonical transformation, to a geodesic motion in a static, spherically symmetric spacetime, thus considerably simplifying the dynamics. Then, including the 2.5PN radiation reaction force in the (resummed) equations of motion, this chapter provides the waveform during the inspiral, merger, and ringdown phases of the coalescence of two non-spinning black holes into a final Kerr black hole. The chapter also comments on the current developments of this approach, which is instrumental in building the libraries of waveform templates that are needed to analyze the data collected by the current gravitational wave detectors.
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