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Dissertations / Theses on the topic 'Gravity derivatives'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

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1

Teimouri, Ilia. "On aspects of infinite derivatives field theories & infinite derivative gravity." Thesis, Lancaster University, 2018. http://eprints.lancs.ac.uk/90105/.

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In this thesis some essential aspects of an infinite derivative theory of gravity are studied. Namely, we considered the Hamiltonian formalism, where the true physical degrees of freedom for infinite derivative scalar models and infinite derivative gravity are obtained. Furthermore, the Gibbons-Hawking-York boundary term for the infinite derivative theory of gravity was obtained. Finally, we considered the thermodynamical aspects of the infinite derivative theory of gravity over different backgrounds. Throughout the thesis, our methodology is applied to other modified theories of gravity as a

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2

Gullu, Ibrahim. "Massive Higher Derivative Gravity Theories." Phd thesis, METU, 2011. http://etd.lib.metu.edu.tr/upload/12613975/index.pdf.

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In this thesis massive higher derivative gravity theories are analyzed in some detail. One-particle scattering amplitude between two covariantly conserved sources mediated by a graviton exchange is found at tree-level in D dimensional (Anti)-de Sitter and flat spacetimes for the most general quadratic curvature theory augmented with the Pauli-Fierz mass term. From the amplitude expression, the Newtonian potential energies are calculated for various cases. Also, from this amplitude and the propagator structure, a three dimensional unitary theory is identified. In the second part of the thes

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3

Matsuura, So. "Holographic Renormalization Group for Higher-Derivative Gravity." 京都大学 (Kyoto University), 2003. http://hdl.handle.net/2433/149064.

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4

Perkins, Alun. "Static spherically symmetric solutions in higher derivative gravity." Thesis, Imperial College London, 2016. http://hdl.handle.net/10044/1/44072.

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We consider the four-derivative modification to the Einstein-Hilbert action of general relativity, without a cosmological constant. Higher derivative terms are interesting because they make the theory renormalisable (but non-unitary) and because they appear generically in quantum gravity theories. We consider the classical, static, spherically symmetric solutions, and try to enumerate all solution families. We find three families in expansions around the origin: one corresponding to the vacuum, another which contains the Schwarzschild family, and another which does not appear in generic theori

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5

Talaganis, Spyridon. "Classical and quantum aspects of infinite derivative field theories and infinite derivative gravity." Thesis, Lancaster University, 2017. http://eprints.lancs.ac.uk/88133/.

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The objective of this thesis is to study classical and quantum aspects of infinite derivative field theories and infinite derivative gravity. In- finite derivative theories of gravity can be made free from ghosts and classical singularities. In order to avoid ghosts, one modifies the graviton propagator by employing entire functions so that no new poles are introduced apart from the pole corresponding to the massless graviton of General Relativity. Inspired by infinite derivative gravity, we consider an infinite derivative scalar toy model and demonstrate renormalisability when the loop-order

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6

Debnath, Partha Sarathi. "Cosmological models in the higher derivative gravity and their different aspects." Thesis, University of North Bengal, 2011. http://hdl.handle.net/123456789/1386.

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7

Pichler, Sebastian. "Scalar fields and higher-derivative gravity in brane worlds." Diss., lmu, 2005. http://nbn-resolving.de/urn:nbn:de:bvb:19-36343.

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8

Chen, Tai-jun. "Constrained dynamics and higher derivative systems in modified gravity." Thesis, University of Cambridge, 2015. https://www.repository.cam.ac.uk/handle/1810/248757.

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In this thesis, higher derivative theories and constrained dynamics are investigated in detail. In the first part of the thesis, we discuss how the Ostrogradski instability emerges in non-degenerate higher derivative theories in the context of a one-dimensional point particle where the position of the particle is a function only dependent on time. We show that the instabilities can only be removed by the addition of constraints if the original theory’s phase space is reduced. We then generalize this formalism to the most general higher derivative gravity theory where the action is not only lin

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9

Conroy, Aindriú. "Infinite derivative gravity : a ghost and singularity-free theory." Thesis, Lancaster University, 2017. http://eprints.lancs.ac.uk/85977/.

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The objective of this thesis is to present a viable extension of general relativity free from cosmological singularities. A viable cosmology, in this sense, is one that is free from ghosts, tachyons or exotic matter, while staying true to the theoretical foundations of General Relativity such as general covariance, as well as observed phenomenon such as the accelerated expansion of the universe and inflationary behaviour at later times. To this end, an infinite derivative extension of relativity is introduced, with the gravitational action derived and the non-linear field equations calculated,

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10

Zahariade, George. "Massive gravity and scalar fields with derivative self-interactions." Paris 7, 2013. http://www.theses.fr/2013PA077169.

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Rajouter un terme de masse au graviton a pour effet de réduire la portée de l'interaction gravitationnelle et donc de modifier son action à l'échelle cosmologique. Cependant Boulware et Deser ont montré que la plupart des manières de rendre le graviton massif donnent lieu à des théories instables qui possèdent un degré de liberté fantomatique en plus des 5 degrés de liberté physiques d'un champ de spin 2 massif. Récemment, de Rham, Gabadadze et Tolley (dRGT) ont découvert une théorie de gravité massive qui semble être dépourvue de ces instabilités chroniques. Dans un premier temps, nous étudio

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11

Menadeo, Nicola. "Formalismo 3+1 ed approccio hamiltoniano alla relatività generale." Bachelor's thesis, Alma Mater Studiorum - Università di Bologna, 2017. http://amslaurea.unibo.it/14602/.

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Nel primo capitolo di questo elaborato verranno descritti ed analizzati alcuni concetti di base della geometria differenziale generalizzandoli a spazi a dimensione arbitraria, per poi utilizzarli nel caso specifico dello spazio-tempo quadridimensionale in cui opera la relatività generale. Verrà fatto largo uso della nozione di ipersuperficie, fondamentale per l'approccio matematico al formalismo 3+1 e verrà studiato il modo in cui questa evolve, da cui segue il concetto di foliazione dello spazio-tempo. Lo scopo finale sarà quello di decomporre i tensori di Riemann e Ricci che giocano un ruol

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12

Sebastianutti, Marco. "Geodesic motion and Raychaudhuri equations." Bachelor's thesis, Alma Mater Studiorum - Università di Bologna, 2019. http://amslaurea.unibo.it/18755/.

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The work presented in this thesis is devoted to the study of geodesic motion in the context of General Relativity. The motion of a single test particle is governed by the geodesic equations of the given space-time, nevertheless one can be interested in the collective behavior of a family (congruence) of test particles, whose dynamics is controlled by the Raychaudhuri equations. In this thesis, both the aspects have been considered, with great interest in the latter issue. Geometric quantities appear in these evolution equations, therefore, it goes without saying that the features of a given sp

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13

Jebelli, Ali. "Development of Sensors and Microcontrollers for Underwater Robots." Thesis, Université d'Ottawa / University of Ottawa, 2014. http://hdl.handle.net/10393/31283.

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Nowadays, small autonomous underwater robots are strongly preferred for remote exploration of unknown and unstructured environments. Such robots allow the exploration and monitoring of underwater environments where a long term underwater presence is required to cover a large area. Furthermore, reducing the robot size, embedding electrical board inside and reducing cost are some of the challenges designers of autonomous underwater robots are facing. As a key device for reliable operation-decision process of autonomous underwater robots, a relatively fast and cost effective controller based on F

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14

Harder, Michael. "Holography and Causality in Einstein-Gauss-Bonnet Gravity." Thesis, 2013. http://hdl.handle.net/1828/4700.

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Field theories with higher derivative gravity duals can violate the viscosity bound. However the extent of the violation is not arbitrary since it depends on the coupling of the higher derivative interactions, which can be constrained by requiring consistency of the boundary field theory. In particular, in Einstein-Gauss-Bonnet (EGB) gravity, the coupling λ can be constrained by requiring that the dual theory respect causality. We investigate the upper bound on λ by computing the quasinormal modes of an EGB black hole in order to explicitly find and interpret the causality violating excitation

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15

Mijić, Milan B. "Quantum and Inflationary Cosmology with Higher Derivative Gravity." Thesis, 1987. https://thesis.library.caltech.edu/10359/2/Mijic_mb_1987.pdf.

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<p>The subject of this thesis is the description of the Very Early Universe, from the Big Bang to the beginning of the radiation-dominated Friedman-Roberston-Walker era. We examine a pure gravity inflationary model for the Universe which is based on adding ƐR<sup>2</sup> term to the usual gravitational Lagrangian ("improved Starobinsky model"). We find the classical inflationary solution essentially independent of initial conditions. The model has only one free parameter, which is bounded from above by observational constraints on scalar and tensorial perturbations and from below by both the n

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16

Pichler, Sebastian [Verfasser]. "Scalar fields and higher-derivative gravity in brane worlds / submitted by Sebastian Pichler." 2004. http://d-nb.info/975146505/34.

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