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In this article we extend the variational technique for maximal volume estimation of a black hole developed by Christodoulou and Rovelli (CR) to the case of a charged BTZ black hole in 2+1 dimensions. The technique involves a study of the…

General Relativity and Quantum Cosmology · Physics 2024-07-02 Suraj Maurya , Sashideep Gutti , Rahul Nigam

The spacetime foam structure is reviewed briefly (topogical fluctuations and virtual black hole possibility; equation of state of the foam). A model of space foam at the surface of the event horizon is introduced. The model is applied to…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Fabio Scardigli

We compute leading order corrections to the entropy of any thermodynamic system due to small statistical fluctuations around equilibrium. When applied to black holes, these corrections are shown to be of the form $-k\ln(Area)$. For BTZ…

High Energy Physics - Theory · Physics 2014-11-18 Saurya Das , Parthasarathi Majumdar , Rajat K. Bhaduri

We argue for black hole entropy in loop quantum gravity (LQG) by taking into account the interpretation that there is no other side of the horizon. This gives new values for the Barbero-Immirzi parameter which are fairly larger than those…

High Energy Physics - Theory · Physics 2008-11-26 Takashi Tamaki

We investigate the thermodynamics of $(2+1)$ dimensional BTZ black holes in the Einstein bumblebee gravity theory with spontaneous breaking of Lorentz symmetry caused by a nonzero vacuum expectation value of the vector field. We analyse…

General Relativity and Quantum Cosmology · Physics 2025-09-29 H. Kaur , Prince A Ganai

An elementary introduction is given to the problem of black hole entropy as formulated by Bekenstein and Hawking. The information theoretic basis of Bekenstein's formulation is briefly reviewed and compared with Hawking's approach. The…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Parthasarathi Majumdar

This paper reviews the work done on black hole interior volume, entropy, and evaporation. An insight into the basics for understanding the interior volume is presented. A general analogy to investigate the interior volume of a black hole,…

General Relativity and Quantum Cosmology · Physics 2024-08-08 Shad Ali , Tong Liu

The brick wall model is a semi-classical approach to understanding the microscopic origin of black hole entropy. We outline the formalism for the brick wall model in arbitrary number of dimensions and generalize it to include both charged…

High Energy Physics - Theory · Physics 2025-05-22 Axel Hrelja , Tajron Jurić , Filip Požar

It is pointed out that the entanglement entropy of quantum fields near the horizon of a two-dimensional black hole can be derived by means of the conformal field theory. This can be done in a way analogous to the computation of the entropy…

High Energy Physics - Theory · Physics 2007-05-23 Dmitri V. Fursaev

The aim of this dissertation is to review `Loop Quantum Gravity', explaining the main structure of the theory and indicating its main open issues. We will develop the two main lines of research for the theory: the canonical quantization…

General Relativity and Quantum Cosmology · Physics 2018-08-06 Pablo Antonio Moreno Casares

Quantum Geometry (the modern Loop Quantum Gravity using graphs and spin-networks instead of the loops) provides microscopic degrees of freedom that account for the black-hole entropy. However, the procedure for state counting used in the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Marcin Domagala , Jerzy Lewandowski

We calculate quantum gravitational corrections to the entropy of black holes using the Wald entropy formula within an effective field theory approach to quantum gravity. The corrections to the entropy are calculated to second order in…

High Energy Physics - Theory · Physics 2021-09-22 Xavier Calmet , Folkert Kuipers

We investigate further the recent analysis \cite{R.Banerjee2}, based on a Hamilton-Jacobi type approach, to compute the temperature and entropy of black holes beyond the semiclassical approximation. It is shown how non spherically symmetric…

High Energy Physics - Theory · Physics 2009-01-16 Sujoy Kumar Modak

We have considered the divergence structure in the brick-wall model for the statistical mechanical entropy of a quantum field in thermal equilibrium with a black hole which {\it rotates}. Especially, the contribution to entropy from…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Jeongwon Ho , Gungwon Kang

We study the thermodynamic features of static, spherically-symmetric Schwarzschild black holes adopting different types of Barrow entropy. Specifically, in addition to the standard Barrow entropy, we consider a logarithmic-corrected type of…

General Relativity and Quantum Cosmology · Physics 2025-01-23 Salvatore Capozziello , Mehdi Shokri

Loop quantum gravity can account for the Bekenstein-Hawking entropy of a black hole provided a free parameter is chosen appropriately. Recently, it was proposed that a new choice of the Immirzi parameter could predict both black hole…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Alejandro Corichi

We show that the concept of entropy and the dynamics of gravitation provide the linchpin in a unified scheme to understand the physics of black hole computers, space-time foam, dark energy, dark matter and the phenomenon of turbulence. We…

General Relativity and Quantum Cosmology · Physics 2020-01-08 Y. Jack Ng

It is known that entropy of black hole gets correction at quantum level. Universally, these corrections are logarithmic and exponential in nature. We analyze the impacts of these quantum corrections on thermodynamics of Born-Infeld BTZ…

General Relativity and Quantum Cosmology · Physics 2023-05-26 B. Pourhassan , M. Dehghani , S. Upadhyay , I. Sakalli , D. V. Singh

We investigate the effect of noncommutativity and quantum corrections to the temperature and entropy of a BTZ black hole based on a Lorentzian distribution with the generalized uncertainty principle (GUP). To determine the Hawking radiation…

High Energy Physics - Theory · Physics 2021-01-18 M. A. Anacleto , F. A. Brito , B. R. Carvalho , E. Passos

We discuss the interior of a black hole in quantum gravity, in which black holes form and evaporate unitarily. The interior spacetime appears in the sense of complementarity because of special features revealed by the microscopic degrees of…

High Energy Physics - Theory · Physics 2015-05-27 Yasunori Nomura , Fabio Sanches , Sean J. Weinberg