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A central issue in the thermodynamics of nonsingular black holes is the apparent violation of the first law. In this work, we use 2D dilaton gravity as a simple theoretical setting to study this issue. We systematically construct a broad…

General Relativity and Quantum Cosmology · Physics 2026-03-24 Peng Yu , Yuan Zhong

Hermiticity is usually treated as a foundational axiom of quantum mechanics, guaranteeing real spectra and unitary time evolution. In this work we argue that Hermiticity is more naturally understood as a symmetry law arising from the global…

General Relativity and Quantum Cosmology · Physics 2026-03-05 Oem Trivedi , Alfredo Gurrola , Robert J. Scherrer

We develop a constraint-free formulation that generalizes Padmanabhan's method for deriving the first law of black hole thermodynamics directly from the Einstein field equations. In previous studies, even for multi-horizon black holes,…

General Relativity and Quantum Cosmology · Physics 2026-05-14 Geonwoo Ahn , Ijin Bae , Geunyeong Jang , Yongjoon Kwon

We review aspects of the thermodynamics of black holes and in particular take into account the fact that the quantum entanglement between the degrees of freedom of a scalar field, traced inside the event horizon, can be the origin of black…

General Relativity and Quantum Cosmology · Physics 2016-07-28 Saurya Das , S. Shankaranarayanan , Sourav Sur

We investigate the laws of thermodynamics in an accelerating universe driven by dark energy with a time-dependent equation of state. In the case we consider that the physically relevant part of the Universe is that envelopped by the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Bin Wang , Yungui Gong , Elcio Abdalla

We find the entropy of Kehagias-Sfetsos black hole in the deformed Ho\v{r}ava-Lifshitz gravity by using the first law of thermodynamics. When applying generalized uncertainty principle (GUP) to Schwarzschild black hole, the entropy…

High Energy Physics - Theory · Physics 2010-02-01 Yun Soo Myung

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

We study the low temperature expansion of the first law of thermodynamics for near-extremal black holes. We show that for extremal black holes with non-vanishing entropy, the leading order contribution yields an expression for their…

High Energy Physics - Theory · Physics 2013-12-04 Maria Johnstone , M. M. Sheikh-Jabbari , Joan Simon , Hossein Yavartanoo

The paper deals with universal thermodynamics for FRW model of the universe bounded by apparent (or event) horizon. Assuming Hawking temperature on the horizon, the unified first law is examined on the horizon for different gravity…

General Relativity and Quantum Cosmology · Physics 2016-05-17 Saugata Mitra , Subhajit Saha , Subenoy Chakraborty

We have shown that changes occur in a (2+1)-dimensional charged black hole by adding a charged probe. The particle increases the entropy of the black hole and guarantees the second law of thermodynamics. The first law of thermodynamics is…

General Relativity and Quantum Cosmology · Physics 2017-12-01 Bogeun Gwak , Bum-Hoon Lee

We propose a quantum version of a gedanken experiment which supports the generalized second law of black hole thermodynamics. A quantum measurement of particles in the region outside of the event horizon decreases the entropy of the outside…

General Relativity and Quantum Cosmology · Physics 2009-10-31 A. Hosoya , A. Carlini , T. Shimomura

Questions about black holes in quantum gravity generally presuppose the presence of a horizon. Recently Carlip has shown that enforcing an initial data surface to be a horizon leads to the correct form for the Bekenstein-Hawking entropy of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 David Mattingly

The thermodynamic properties of black holes have been extensively studied through analogies with classical systems, revealing fundamental connections between gravitation, entropy, and quantum mechanics. In this work, we extend the…

General Relativity and Quantum Cosmology · Physics 2026-02-26 S. D Campos

In gauge invariant theories, like Einstein-Maxwell theory, physical observables should be gauge invariant. In particular, mass, entropy, angular momentum, electric charge and their respective chemical potentials, temperature, horizon…

High Energy Physics - Theory · Physics 2022-11-21 K. Hajian , M. M. Sheikh-Jabbari , B. Tekin

Black holes have often provided profound insights into the nature of gravity and the structure of space-time. The study of the mathematical properties of black objects is a major research theme of contemporary theoretical physics. This…

High Energy Physics - Theory · Physics 2019-05-14 Sudipta Sarkar

We investigate the validity of the generalized second law of thermodynamics on the $(n-1)$-dimensional brane embedded in the $(n+1)$-dimensional bulk. We examine the evolution of the apparent horizon entropy extracted through relation…

High Energy Physics - Theory · Physics 2010-05-12 Ahmad Sheykhi , Bin Wang

We show that the Gauss-Bonnet term can have physical effects in four dimensions. Specifically, the entropy of a black hole acquires a correction that is proportional to the Euler characteristic of the cross sections of the horizon. While…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Tomas Liko

We show that the first law of the black hole thermodynamics can lead to the tunneling probability through the quantum horizon by calculating the change of entropy with the quantum gravity correction and the change of surface gravity is…

High Energy Physics - Theory · Physics 2009-01-06 Baocheng Zhang , Qing-yu Cai , Ming-sheng Zhan

A popular aspect of black holes physics is the mathematical analogy between their laws, coming from general relativity and the laws of thermodynamics. The analogy is achieved by identifying a suitable set of observables, precisely:…

Astrophysics · Physics 2007-05-23 Piero Nicolini , Massimo Tessarotto

In this work, we have considered the Vaidya spacetime in null radiating fluid with perfect fluid in higher dimension and have found the solution for barotropic fluid. We have shown that the Einstein's field equations can be obtained from…

General Relativity and Quantum Cosmology · Physics 2012-10-04 Ujjal Debnath