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Related papers: Black Holes and Thermogeometric Optimization

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We apply a finite-time geometric optimization framework to investigate thermal fluctuations and (non)equilibrium optimal processes in the $(2+1)$-dimensional BTZ black hole. Employing Hessian thermodynamic information metrics, we construct…

General Relativity and Quantum Cosmology · Physics 2026-03-25 M. Radomirov , R. C. Rashkov , G. S. Stoilov , T. Vetsov

In this work we present a new view on the thermodynamics of black holes introducing effects of irreversibility by employing thermodynamic optimization and finite-time thermodynamics. These questions are of importance both in physics and in…

General Relativity and Quantum Cosmology · Physics 2016-04-06 Alessandro Bravetti , Christine Gruber , Cesar S. Lopez-Monsalvo

Finite-time thermodynamics provides the means to revisit ideal thermodynamic equilibrium processes in the light of reality and investigate the energetic "price of haste", i.e. the consequences of carrying out a process in finite time, when…

General Relativity and Quantum Cosmology · Physics 2016-01-05 Christine Gruber

We study the thermodynamic analysis and logarithm corrections of the new Schwarzschild black hole. We compute the thermodynamic quantities like entropy, Hawking temperature and heat capacity. The area of black holes never decreases because…

General Relativity and Quantum Cosmology · Physics 2022-12-14 Zunaira Akhtar , Rimsha Babar , Riasat Ali

This paper presents a comprehensive review of geometrical thermodynamics, which employs geometric concepts to study the thermodynamic properties of physical systems. The review covers key topics such as thermodynamic fluctuation theory,…

General Relativity and Quantum Cosmology · Physics 2023-10-31 S. Mahmoudi , Kh. Jafarzade , S. H. Hendi

This study investigates the thermodynamics of topological black hole solutions in $R^{2}$ gravity, incorporating the effects of small statistical fluctuations up to first-order corrections. We precisely calculate entropy, internal energy,…

General Relativity and Quantum Cosmology · Physics 2026-01-12 Sudhaker Upadhyay , Jyotish Kumar , Dharm Veer Singh , Yerlan Myrzakulov , Kairat Myrzakulov , Abhishek Ashish

In classical thermodynamics, irreversible processes are accomplished with an increase of entropy and a release of heat into the environment. In the case of black hole thermodynamics, instead, the increase of entropy is related with the…

General Relativity and Quantum Cosmology · Physics 2017-12-08 Arturo J. Gomez , Carlos Paiva

Thermodynamic fluctuation metrics in Ruppeiner's formalism are worked out for Kerr-AdS black holes in the extended state space. The implications of constraints upon the state space geometry and their correspondence with thermodynamical…

High Energy Physics - Theory · Physics 2017-06-07 Anurag Sahay

When engineering microscopic machines, increasing efficiency can often come at a price of reduced reliability due to the impact of stochastic fluctuations. Here we develop a general method for performing multi-objective optimisation of…

Quantum Physics · Physics 2021-01-04 Harry J. D. Miller , Mohammad Mehboudi

An important phase transition in black hole thermodynamics is associated with the divergence of the specific heat with fixed charge and angular momenta, yet one can demonstrate that neither Ruppeiner's entropy metric nor Weinhold's energy…

High Energy Physics - Theory · Physics 2010-12-17 Haishan Liu , H. Lu , Mingxing Luo , Kai-Nan Shao

Thermodynamics unavoidably contains fluctuation theory, expressible in terms of a unique thermodynamic information metric. This metric produces an invariant thermodynamic Riemannian curvature scalar $R$ which, in fluid and spin systems,…

General Relativity and Quantum Cosmology · Physics 2015-06-11 George Ruppeiner

In this work, we study the thermal fluctuation, deflection angle and greybody factor of the high-dimensional Schwarzschild black hole in scalar-tensor-vector gravity (STVG). Based on the correction of black hole entropy due to thermal…

General Relativity and Quantum Cosmology · Physics 2023-07-11 Qian Li , Yu Zhang , Qi-Quan Li , Qi Sun

The thermodynamics of black holes is shown to be directly induced by their near-horizon conformal invariance. This behavior is exhibited using a scalar field as a probe of the black hole gravitational background, for a general class of…

High Energy Physics - Theory · Physics 2009-09-29 Horacio E. Camblong , Carlos R. Ordonez

We investigate the possibility of statistical explanation of the black hole entropy by counting quasi-bounded modes of thermal fluctuation in two dimensional black hole spacetime. The black hole concerned is quantum in the sense that it is…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Y. Itoh , M. Hotta , T. Futamase , M. Morikawa

This paper delineates the first steps in a systematic quantitative study of the spacetime fluctuations induced by quantum fields in an evaporating black hole. We explain how the stochastic gravity formalism can be a useful tool for that…

General Relativity and Quantum Cosmology · Physics 2008-11-26 B. L. Hu , Albert Roura

We study thermodynamics and geometrothermodynamics of a particular black hole configuration with a nonlinear source. We use the mass as fundamental equation, from which it follows that the curvature radius must be considered as a…

General Relativity and Quantum Cosmology · Physics 2021-08-11 Alberto Sánchez

We present a dynamical systems approach to black hole thermodynamic criticality based on bifurcation equations. We construct an effective thermodynamic landscape in which black holes relax toward equilibrium fixed points. To describe this…

High Energy Physics - Theory · Physics 2026-05-26 Bidyut Hazarika , Mozib Bin Awal , Prabwal Phukon

One key element to calculate thermodynamical properties for a black hole is the partition function. In this paper we have incorporated the idea of a two dimensional area in a noncommutative space and were able to calculate the partition…

High Energy Physics - Theory · Physics 2012-01-05 S. Pérez-Payán , M. Sabido

This work mainly focuses on the nonlinear Einstein-Euler-Heisenberg theory and its applications from various aspects. Firstly, thermodynamic variables are analytically determined via Smarr formula for a four dimensional spherically…

General Relativity and Quantum Cosmology · Physics 2025-07-14 Huriye Gürsel , Mert Mangut , Erdem Sucu

Black holes pose great difficulties for theory since gravity and quantum theory must be combined in some as yet unknown way. An additional difficulty is that detailed black hole observational data to guide theorists is lacking. In this…

General Relativity and Quantum Cosmology · Physics 2018-08-22 George Ruppeiner
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