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
Entropy in Born-Infeld gravity
Download
index.pdf
Date
2017-12-28
Author
Alıcı, Gökçen Deniz
Kürekci, Şahin
Tekin, Bayram
Metadata
Show full item record
This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
.
Item Usage Stats
201
views
59
downloads
Cite This
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 properly Gibbons-Hawking entropy for the case of de Sitter spacetime) but given with an effective gravitational constant which encodes all the information about the background spacetime and the underlying theory. We also show that the higher curvature terms increase the entropy. We carry out the computations in generic n dimensions including the particularly interesting limits of three, four and infinite number of dimensions. We also give a preliminary discussion about the black hole entropy in generic dimensions for the Born-Infeld theories.
Subject Keywords
Black-hole entropy
,
Partıcle creatıon
,
Noether charge
,
Thermodynamıcs
URI
https://hdl.handle.net/11511/41565
Journal
PHYSICAL REVIEW D
DOI
https://doi.org/10.1103/physrevd.96.124038
Collections
Department of Physics, Article
Suggestions
OpenMETU
Core
Conserved charges in various theories of gravity
Özşahin, Hikmet; Tekin, Bayram; Department of Physics (2022-9)
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...
Entropy, energy, and instability in music
Gündüz, Güngör (2023-01-01)
The structures of eight BEATLES songs were characterized by using the fundamental concepts of statistical physics, thermodynamics, and viscoelastic theory. The Shannon entropy, negentropy, order, topological entropy, fractal dimension, network properties, and conservative and dissipative energies were found for all songs. The sequential entropy change and the persistence of entropy were also discussed. The lengths of notes have an important influence on the psychological perception of the human brain, and i...
Topological black holes and momentum four-vector
Pirinccioglu, Nurettin; Binbay, Figen; AÇIKGÖZ, İRFAN; Aydogdu, Oktay (World Scientific Pub Co Pte Lt, 2007-07-30)
We consider the energy momentum definition of the Moller in both general relativity and teleparallel gravity to evaluate the energy distribution (due to both matter and fields including gravitation) associated with the topological black holes with a conformally coupled scalar field. Our results show that the energy depends on the mass M and charge Q of the black holes and cosmological constant Lambda. In some special limits, the expression of the energy reduces to the energy of the well-known spacetimes. Th...
Born-Infeld gravity with a unique vacuum and a massless graviton
Gullu, Ibrahim; Sisman, Tahsin Cagri; Tekin, Bayram (2015-11-04)
We construct an n-dimensional Born-Infeld-type gravity theory that has the same properties as Einstein's gravity in terms of the vacuum and particle content: Namely, the theory has a unique viable vacuum (maximally symmetric solution) and a single massless unitary spin-2 graviton about this vacuum. The Born-Infeld gravity, in some sense, is the most natural, minimal generalization of Einstein's gravity with a better UV behavior and hence is a potentially less singular theory at small distances. The Gauss-Bo...
Energy-momentum of a stationary beam of light in teleparallel gravity
Aydogdu, Oktay; Salti, Mustafa (Springer Science and Business Media LLC, 2006-01-01)
In this paper, we utilize the teleparallel gravity analogs of the energy and momentum definitions of Bergmann-Thomson and Landau-Lifshitz in order to explicitly evaluate the energy distribution (due to matter and fields including gravity) based on the Bormor space-time, it is shown that for a stationary beam of light, these energy-momentum definitions give the same result. Furthermore, this result supports the viewpoint of Cooperstock and also agree with the previous works by Bringley and Gad.
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
G. D. Alıcı, Ş. Kürekci, and B. Tekin, “Entropy in Born-Infeld gravity,”
PHYSICAL REVIEW D
, pp. 0–0, 2017, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/41565.