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Wald's formula for black hole entropy, applied to extremal black holes, leads to the entropy function formalism. We manipulate the entropy computed this way to express it as the logarithm of the ground state degeneracy of a dual quantum…

High Energy Physics - Theory · Physics 2009-09-15 Ashoke Sen

There is a debate as to what is the value of the the entropy $S$ of extremal black holes. There are approaches that yield zero entropy $S=0$, while there are others that yield the Bekenstein-Hawking entropy $S=A_+/4$, in Planck units. There…

High Energy Physics - Theory · Physics 2015-10-14 José P. S. Lemos , Gonçalo M. Quinta , Oleg B. Zaslavskii

We prove that higher-dimension operators contribute positively to the entropy of a thermodynamically stable black hole at fixed mass and charge. Our results apply whenever the dominant corrections originate at tree level from quantum field…

High Energy Physics - Theory · Physics 2018-10-08 Clifford Cheung , Junyu Liu , Grant N. Remmen

We discuss and compare different definitions of the entropy of a black hole. In particular we show that the thermodynamical entropy defined by the response of the free energy of a black hole to the change of temperature does not coincide…

High Energy Physics - Theory · Physics 2008-02-03 V. Frolov

I rederive the Kerr/CFT correspondence without first taking the near-horizon extremal Kerr limit. This method extends easily to nonextremal black holes, for which the temperature and central charge behave poorly at the horizon but the…

General Relativity and Quantum Cosmology · Physics 2015-05-27 S. Carlip

We study the entropy of extremal warped black hole obtained from the topologically massive gravity with a negative cosmological constant of $\Lambda=-1/l^2$. We compare the entropy $S_e=\pi \alpha/3G$ from the Wald formalism with $S_w=\pi l…

High Energy Physics - Theory · Physics 2009-07-22 Yun Soo Myung

We study the ratio of the entropy to the total energy in conformal field theories at finite temperature. For the free field realizations of {\cal N}=4 super Yang-Mills theory in D=4 and the (2,0) tensor multiplet in D=6, the ratio is…

High Energy Physics - Theory · Physics 2009-11-07 D. Klemm , A. C. Petkou , G. Siopsis

This work examines some aspects related to the existence of negative mass. The requirement for the partition function to converge leads to two distinct approaches. Initially, convergence is achieved by assuming a negative absolute…

Statistical Mechanics · Physics 2026-02-25 S. D. Campos

The Kerr/CFT correspondence employs the Cardy formula to compute the entropy of the left moving CFT states. This computation, which correctly reproduces the Bekenstein--Hawking entropy of the four-dimensional extremal Kerr black hole, is…

High Energy Physics - Theory · Physics 2010-03-02 Vishnu Jejjala , Suresh Nampuri

Proceeding in exactly the same way as in the derivation of the temperature of a dual CFT for the extremal black hole in the Kerr/CFT correspondence, it is found that the temperature of a chiral, dual CFT for the Schwarzschild black hole is…

High Energy Physics - Theory · Physics 2016-01-19 K. Ropotenko

In this paper, with considering the nonlinear electromagnetic field coupled to Einstein gravity, we obtain the higher dimensional slowly rotating charged black hole solutions. By use of the fact that the temperature of the extreme black…

High Energy Physics - Theory · Physics 2010-11-15 S. H. Hendi

Some problems have been found as to the definition of entropy of black hole being applied to the extremal Kerr-Newman case, which has conflicts with the third law of thermodynamics. We have proposed a new modification for the near extremal…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Hai Lin

It has been known for many years that the leading correction to the black hole entropy is a logarithmic term, which is universal and closely related to conformal anomaly. A fully consistent analysis of this issue has to take quantum…

General Relativity and Quantum Cosmology · Physics 2022-02-23 Yong Xiao , Yu Tian

Quantum effects due to conformal matter in a black hole background result in universal logarithmic corrections to black-hole entropy. The universality resides in the connection of the log term coefficient with those of type-A and type-B…

General Relativity and Quantum Cosmology · Physics 2015-06-16 R Aros , D E Diaz , A Montecinos

The entropy of black holes in modified theories of gravity is examined in the Palatini formalism using the Noether Charge approach. It is shown that, if the gravitational coupling constant is properly identified, the entropy of a black hole…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Dan N. Vollick

We consider the shift of charge-to-mass ratio for extremal black holes in the context of effective field theory, motivated by the Weak Gravity Conjecture. We constrain extremality corrections in different regimes subject to unitarity and…

High Energy Physics - Theory · Physics 2022-03-17 Nima Arkani-Hamed , Yu-tin Huang , Jin-Yu Liu , Grant N. Remmen

We show that the entropy of extremal $D=4$ Reissner--Nordstrom black holes can be computed from horizon CFTs with central charges and conformal weights fixed by the dimensionless Rindler energy. This is possible in the simultaneous extremal…

High Energy Physics - Theory · Physics 2015-06-17 Edi Halyo

We develop an analogy between fluids and black holes to study phase transitions in the latter. The entropy-temperature graph shows the onset of a phase transition without any latent heat. The nature of this continuous (higher order) phase…

General Relativity and Quantum Cosmology · Physics 2011-01-13 Rabin Banerjee , Sujoy Kumar Modak , Saurav Samanta

When the difference between changes in energy and entropy at a given temperature is correlated with the ratio between the same changes in energy and entropy at zero average free energy of an ensemble of similar but distinct molecule-sized…

General Physics · Physics 2009-06-17 Petr Zimak , Silvia Terenzi , Peter Strazewski

A coarse-grained version of the effective action is used to study the thermodynamics of black holes, interpolating from largest to smallest masses. The physical parameter of the black hole are linked to the running couplings by…

General Relativity and Quantum Cosmology · Physics 2014-04-23 Kevin Falls , Daniel F. Litim