First law of black hole thermodynamics and Smarr formula with a cosmological constant

Date

2021-08-01

Author

Hajian, Kamal
Özşahin, Hikmet
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

339
views

0
downloads

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 first law is quite similar to an "electric charge" rather than to the pressure. Besides, its conjugate chemical potential resembles an "electric potential" on the horizon, in contrast with the volume enclosed by horizon. 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. Especially, we investigate the applicability and validity of the analysis for black branes, whose enclosed volume is not well defined in principle.

URI

https://hdl.handle.net/11511/92031

Journal

PHYSICAL REVIEW D

DOI

https://doi.org/10.1103/physrevd.104.044024

Collections

Graduate School of Natural and Applied Sciences, 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...
Definition of the Riesz derivative and its application to space fractional quantum mechanics Bayin, Selcuk S. (2016-12-01) We investigate and compare different representations of the Riesz derivative, which plays an important role in anomalous diffusion and space fractional quantum mechanics. In particular, we show that a certain representation of the Riesz derivative, Rax, that is generally given as also valid for alpha = 1, behaves no differently than the other definition given in terms of its Fourier transform. In the light of this, we discuss the alpha -> 1 limit of the space fractional quantum mechanics and its consistency...
Thermodynamics of Lifshitz black holes Devecioglu, Deniz Olgu; Sarıoğlu, Bahtiyar Özgür (American Physical Society (APS), 2011-06-23) We apply the recently extended conserved Killing charge definition of Abbott-Deser-Tekin formalism to compute, for the first time, the energies of analytic Lifshitz black holes in higher dimensions. We then calculate the temperature and the entropy of this large family of solutions, and study and discuss the first law of black hole thermodynamics. Along the way we also identify the possible critical points of the relevant quadratic curvature gravity theories. Separately, we also apply the generalized Killin...
A model for the computation of quantum billiards with arbitrary shapes Erhan, Inci M.; Taşeli, Hasan (Elsevier BV, 2006-10-01) An expansion method for the stationary Schrodinger equation of a three-dimensional quantum billiard system whose boundary is defined by an arbitrary analytic function is introduced. The method is based on a coordinate transformation and an expansion in spherical harmonics. The effectiveness is verified and confirmed by a numerical example, which is a billiard system depending on a parameter.
Properties of excited B-c states in QCD Alıyev, Tahmasıb; Bilmiş, Selçuk (Elsevier BV, 2019-10-01) The mass and leptonic decay constants of recently observed two new excited B-c states at LHC are studied within the QCD sum rules. Considering the contributions of the ground and radially excited states, the mass and residues of the excited states of pseudoscalar and vector mesons are calculated in the framework of two different approaches of the QCD sum rules, namely, linear combinations of the corresponding sum rules and its derivatives as well as QCD sum rules with the incorporation of the least square f...

Citation Formats

K. Hajian, H. Özşahin, and B. Tekin, “First law of black hole thermodynamics and Smarr formula with a cosmological constant,” PHYSICAL REVIEW D, vol. 104, no. 4, pp. 0–0, 2021, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/92031.