Show/Hide Menu
Hide/Show Apps
Logout
Türkçe
Türkçe
Search
Search
Login
Login
OpenMETU
OpenMETU
About
About
Open Science Policy
Open Science Policy
Communities & Collections
Communities & Collections
Help
Help
Frequently Asked Questions
Frequently Asked Questions
Guides
Guides
Thesis submission
Thesis submission
MS without thesis term project submission
MS without thesis term project submission
Publication submission with DOI
Publication submission with DOI
Publication submission
Publication submission
Supporting Information
Supporting Information
General Information
General Information
Copyright, Embargo and License
Copyright, Embargo and License
Contact us
Contact us
Conserved charges in various theories of gravity
Download
thesis.pdf
Date
2022-9
Author
Özşahin, Hikmet
Metadata
Show full item record
This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
.
Item Usage Stats
129
views
76
downloads
Cite This
The first law of black hole thermodynamics in the presence of a cosmological constant $\Lambda$ can be generalized by introducing a term containing the variation $\delta\Lambda$. Similar to other terms in the first law, which are variations of some conserved charges like mass, entropy, angular momentum, electric charge etc and it has been shown in \cite{1} that the new term has the same structure: $\Lambda$ is a conserved charge associated with a gauge symmetry. In this work, first we propose and prove the generalized Smarr relation in this new paradigm. Then, we reproduce systematically the ``effective volume" of a black hole which has been introduced before in the literature as the conjugate of pressure. Our construction removes the ambiguity in the definition of volume. Finally, we apply and investigate this formulation of ``$\Lambda$ as a charge" on a number of solutions to different models of gravity for different spacetime dimensions. Specially, we investigate the applicability and validity of the analysis for black branes, whose enclosed volume is not well-defined in principle
Subject Keywords
Black holes
,
Thermodynamics of black holes
,
Wald entropy
,
Covariant phase space formalism
URI
https://hdl.handle.net/11511/99581
Collections
Graduate School of Natural and Applied Sciences, Thesis
Suggestions
OpenMETU
Core
The Kerr-Schild double copy in Lifshitz spacetime
Alçak, Gökhan; Gümüş, Mehmet Kemal; Tek, Mustafa (2021-05-01)
The Kerr-Schild double copy is a map between exact solutions of general relativity and Maxwell’s theory, where the nonlinear nature of general relativity is circumvented by considering solutions in the Kerr-Schild form. In this paper, we give a general formulation, where no simplifying assumption about the background metric is made, and show that the gauge theory source is affected by a curvature term that characterizes the deviation of the background spacetime from a constant curvature spacetime. We demons...
Entropy in Born-Infeld gravity
Alıcı, Gökçen Deniz; Kürekci, Şahin; Tekin, Bayram (2017-12-28)
There is a class of higher derivative gravity theories that are in some sense natural extensions of cosmological Einstein's gravity with a unique maximally symmetric classical vacuum and only a massless spin-2 excitation about the vacuum and no other perturbative modes. These theories are of the Born-Infeld determinant form. We show that the macroscopic dynamical entropy as defined by Wald for bifurcate Killing horizons in these theories are equivalent to the geometric Bekenstein-Hawking entropy (or more pr...
First law of black hole thermodynamics and Smarr formula with a cosmological constant
Hajian, Kamal; Özşahin, Hikmet; Tekin, Bayram (2021-08-01)
The first law of black hole thermodynamics in the presence of a cosmological constant Lambda can be generalized by introducing a term containing the variation delta Lambda. Similar to other terms in the first law, which are variations of some conserved charges like mass, entropy, angular momentum, electric charge, etc., it has been shown [Classical Quant. Gray. 35, 125012 (2018)] that the new term has the same structure: Lambda is a conserved charge associated with a gauge symmetry; and its role in the firs...
A SPINOR MODEL FOR QUANTUM COSMOLOGY
DERELI, T; ONDER, M; TUCKER, RW (1994-03-31)
The question of the interpretation of Wheeler-DeWitt solutions in the context of cosmological models is addressed by implementing the Hamiltonian constraint as a spinor wave equation in minisuperspace. We offer a relative probability interpretation based on a non-closed vector current in this space and a prescription for a parametrisation of classical solutions in terms of classical time. Such a prescription can accommodate classically degenerate metrics describing manifolds with signature change. The relat...
Conserved charges of quadratic curvature gravity theories in arbitrary backgrounds
Devecioğlu, Deniz Olgu; Sarıoğlu, Bahtiyar Özgür; Department of Physics (2010)
We generalize the definition of conserved gravitational Killing charges of quadratic curvature gravity theories to arbitrary backgrounds that admit at least one global (time-like) Killing vector. This charge definition is background gauge invariant and reduces correctly to the already known limit given by [1] when the background is a space of constant curvature. As an application we use this definition to compute the charges of various black holes in New Massive Gravity; namely the BTZ black hole, the black...
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
H. Özşahin, “Conserved charges in various theories of gravity,” Ph.D. - Doctoral Program, Middle East Technical University, 2022.