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The Hessian of the entropy function can be thought of as a metric tensor on state space. In the context of thermodynamical fluctuation theory Ruppeiner has argued that the Riemannian geometry of this metric gives insight into the underlying…

广义相对论与量子宇宙学 · 物理学 2009-11-13 Jan E. Aman , Narit Pidokrajt

In some recent studies \cite{aman1, aman2, aman3}, Aman {\it et al.} used the Ruppeiner scalar as a measure of underlying interactions of Reissner-Nordstr\"{o}m black holes, indicating that it is a non-interacting statistical system for…

高能物理 - 理论 · 物理学 2010-10-27 Behrouz Mirza , Mohammad Zamani-Nasab

We study the first-order in $\alpha'$ corrections to non-extremal 4-dimensional dyonic Reissner-Nordstr\"om (RN) black holes with equal electric and magnetic charges in the context of Heterotic Superstring effective field theory (HST)…

高能物理 - 理论 · 物理学 2019-11-01 Pablo A. Cano , Samuele Chimento , Roman Linares , Tomas Ortin , Pedro F. Ramirez

In this paper we study the modification of thermodynamic properties of Schwarzschild and Reissner-Nordstr\"{o}m black hole in the framework of generalized uncertainty principle with correction terms upto fourth order in momentum…

综合物理 · 物理学 2018-06-11 Sunandan Gangopadhyay , Abhijit Dutta

Thermodynamic Riemannian geometry provides great insights into the microscopic structure of black holes (BHs). One such example is the Ruppeiner geometry which is the metric space comprising the second derivatives of entropy with respect to…

广义相对论与量子宇宙学 · 物理学 2025-04-15 Syed Masood A. S. Bukhari , Behnam Pourhassan , Houcine Aounallah , Li-Gang Wang

We resolve the controversial issue of the geometric approach to the black hole thermodynamics. The geometric description of the equilibrium thermodynamics comes from Ruppeiner geometry based on a metric on the thermodynamic state space. For…

高能物理 - 理论 · 物理学 2008-11-26 Yun Soo Myung , Yong-Wan Kim , Young-Jai Park

We obtain a generalized Schwarzschild (GS-) and a generalized Reissner-Nordstrom (GRN-) black hole geometries in (3+1)-dimensions, in a noncommutative string theory. In particular, we consider an effective theory of gravity on a curved…

高能物理 - 理论 · 物理学 2008-11-26 Supriya Kar , Sumit Majumdar

In this paper, we study the thermodynamic geometry of charged Gauss-Bonnet black holes (and Reissner-Nordstr\"{o}m black holes, for the sake of comparison) in AdS: in both $(T,V)$- and $(S,P)$-planes. The thermodynamic phase space is known…

广义相对论与量子宇宙学 · 物理学 2020-05-11 Aritra Ghosh , Chandrasekhar Bhamidipati

Based on the observations that there exists an analogy between the Reissner-Nordstr\"om-anti-de Sitter (RN-AdS) black holes and the van der Waals-Maxwell liquid-gas system, in which a correspondence of variables is $(\phi, q)…

广义相对论与量子宇宙学 · 物理学 2016-08-31 Jianyong Shen , Rong-Gen Cai , Bin Wang , Ru-Keng Su

The thermodynamics of black holes is reformulated within the context of the recently developed formalism of geometrothermodynamics. This reformulation is shown to be invariant with respect to Legendre transformations, and to allow several…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Hernando Quevedo

We investigate thermodynamic curvatures of the Kerr and Reissner-Nordstr\"om (RN) black holes in spacetime dimensions higher than four. These black holes possess thermodynamic geometries similar to those in four dimensional spacetime. The…

高能物理 - 理论 · 物理学 2009-01-14 Jan E. Aman , Narit Pidokrajt

The Hessian of the entropy function can be thought of as a metric tensor on the state space. In the context of thermodynamical fluctuation theory Ruppeiner has argued that the Riemannian geometry of this metric gives insight into the…

广义相对论与量子宇宙学 · 物理学 2009-01-14 Jan Aman , Ingemar Bengtsson , Narit Pidokrajt

We obtain the Ruppeiner geometry associated with the non-extended state space ($\Lambda$ constant) of the charged Gauss-Bonnet AdS (GB-AdS) black holes and confirm that the state space Riemannian manifold becomes strongly curved in regions…

高能物理 - 理论 · 物理学 2018-01-03 Anurag Sahay , Rishabh Jha

In this paper, we investigate the thermodynamic properties of Reissner-Nordstr\"om black holes embedded in higher $(d)$ dimensions in the framework of rainbow gravity incorporating the effects of the generalized uncertainty principle. We…

广义相对论与量子宇宙学 · 物理学 2019-06-17 Amritendu Haldar , Ritabrata Biswas

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…

高能物理 - 理论 · 物理学 2017-06-07 Anurag Sahay

Motivated by possible relation between Born-Infeld type nonlinear electrodynamics and an effective low-energy action of open string theory, asymptotically Reissner--Nordstrom black holes whose electric field is described by a nonlinear…

广义相对论与量子宇宙学 · 物理学 2015-07-15 Seyed Hossein Hendi

We analyse in detail the thermodynamics in the canonical and grand canonical ensembles of a class of non-asymptotically flat black holes of the Einstein-(anti) Maxwell-(anti) Dilaton theory in 4D with spherical symmetry. We present the…

广义相对论与量子宇宙学 · 物理学 2013-04-09 Manuel E. Rodrigues , Glauber Tadaiesky Marques

We develop a non-extensive thermodynamic framework for Reissner--Nordstr\"om black holes based on a near-horizon photon-gas model within Tsallis statistics. We derive the generalized Bekenstein--Hawking entropy based on such an approach,…

广义相对论与量子宇宙学 · 物理学 2026-05-13 Phuwadon Chunaksorn , Ratchaphat Nakarachinda , Pitayuth Wongjun

This paper studies the thermodynamics and Ruppeiner geometry of D-dimensional RN black holes. We analyze the thermodynamic curvature scalar $R$ in various thermodynamic ensembles. It is found that in an ensemble of fixed charge (canonical…

广义相对论与量子宇宙学 · 物理学 2025-12-05 Wen-Xiang Chen

In this article, we investigate the thermodynamic topology of some black holes, namely AdS Reissner Nordstrom (R-N), AdS Einstein-Gauss-Bonnet (EGB), and AdS Einstein-power-Yang-Mills (EPYM), from different frameworks: bulk-boundary (BB)…

高能物理 - 理论 · 物理学 2025-12-29 Jafar Sadeghi , Mohmmad Ali S. Afshar , Saeed Noori Gashti , Mohammad Reza Alipour
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