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In this paper, we investigate the phase transitions of Reissner-Nordstr\"{o}m (RN) and Schwarzschild black holes for the extended uncertainty principle (EUP) framework. Considering temperature $T$, charge $Q$ and electric potential $\Phi $…

General Relativity and Quantum Cosmology · Physics 2022-08-24 Özgür Ökcü , Ekrem Aydiner

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…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Jan E. Aman , Narit Pidokrajt

Interpreting the cosmological constant as the energy of the vacuum and using a gravitational decoupling approach leads to a new Kerr--anti-de Sitter (AdS) black hole. The metric of the new Kerr--AdS is simpler than the standard Kerr--AdS…

General Relativity and Quantum Cosmology · Physics 2024-11-07 Suhail Khan , Shafqat Ul Islam , Sushant G. Ghosh , Sunil D. Maharaj

Born-Infeld AdS black hole exhibits a reentrant phase transition for certain values of the Born-Infeld parameter $b$. This behaviour is an additional feature compared to the van der Waals like phase transition observed in charged AdS black…

General Relativity and Quantum Cosmology · Physics 2021-02-24 A. Naveena Kumara , C. L. Ahmed Rizwan , Kartheek Hegde , Md Sabir Ali , Ajith K. M

A special class of higher curvature theories of gravity, Ricci Cubic Gravity (RCG), in general d dimensional space-time has been investigated in this paper. We have used two different approaches, the linearized equations of motion and…

High Energy Physics - Theory · Physics 2017-09-13 Ahmad Ghodsi , Farzaneh Najafi

In the context of black hole chemistry, we study the thermodynamics of asymptotically de Sitter black holes with conformal scalar hair in Einstein gravity. The hair parameter allows us to attain thermodynamic equilibrium between the event…

High Energy Physics - Theory · Physics 2019-03-27 Saoussen Mbarek , Robert B. Mann

We investigate the thermodynamics of phase transition for $ (n+1) $ dimensional Reissner Nordstrom (RN)-AdS black holes using a grand canonical ensemble. This phase transition is characterized by a discontinuity in specific heat. The phase…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Rabin Banerjee , Dibakar Roychowdhury

Ruppeiner geometry has been successfully applied in the study of the black hole microstructure by combining with the small-large black hole phase transition, and the potential interactions among the molecular-like constituent degrees of…

General Relativity and Quantum Cosmology · Physics 2024-02-22 Shao-Wen Wei , Yu-Xiao Liu

By regarding the Newton constant $G_{N}$ and cosmological constant $\Lambda$ as variables, we in this paper study the thermodynamics and phase transition of Reissner-Nordstr$\ddot{o}$m anti-de Sitter (RN-AdS) black hole with global monopole…

High Energy Physics - Theory · Physics 2024-12-04 He-Bin Zheng , Yun-Xian Chen , Jian Tang

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

The connection between quantum information and quantum gravity has captured the imagination of physicists. Recently, a broad new class of gravitational observables have been proposed to provide new possibilities for holographic complexity…

High Energy Physics - Theory · Physics 2024-02-23 Meng-Ting Wang , Hong-Yue Jiang , Yu-Xiao Liu

Regular Schwarzschild Anti-de-Sitter (RSch-AdS) spacetime, which is a maximally symmetric and Lorentzian manifold of negative curvature, is a solution of Einstein's field equations with a negative cosmological constant and a matter source…

General Relativity and Quantum Cosmology · Physics 2024-10-21 A. Mahmoodzadeh , B. Malakolkalami , K. Ghaderi

The theory of $f(R)$ gravity with constant curvature (i.e. constant scalar curvature) admits rotating and charged black hole solutions obtained from the Kerr-Newman-(A)dS metrics of general relativity through appropriate rescalings of the…

General Relativity and Quantum Cosmology · Physics 2026-03-10 Alikram N. Aliev , Göksel Daylan Esmer

Motivated by recent developments of black hole thermodynamics in de Rham, Gabadadze and Tolley(dRGT) massive gravity, we study the critical behaviors of four-dimensional topological Anti-de Sitter(AdS) black holes in the presence of…

High Energy Physics - Theory · Physics 2017-11-29 Ming Zhang , De-Cheng Zou , Rui-Hong Yue

We present a $D$-dimensional Bardeen like Anti-de Sitter (AdS) black hole solution in Einstein-Gauss-Bonnet (EGB) gravity, \textit{viz}., Bardeen-EGB-AdS black holes. The Bardeen-EGB-AdS black hole has an additional parameter due to charge…

General Relativity and Quantum Cosmology · Physics 2019-03-29 Arun Kumar , Dharm Veer Singh , Sushant G. Ghosh

This research paper presents a black hole solution with a rational non-linear electrodynamics source in the Rastall gravity framework. The paper analyzes the thermodynamic properties of the solution in normal phase space and explores its…

General Relativity and Quantum Cosmology · Physics 2024-03-11 Yassine Sekhmani , Dhruba Jyoti Gogoi , Ratbay Myrzakulov , Javlon Rayimbaev

We study the thermodynamic topology and microscopic interaction properties of charged black holes in RegMax gravity, focusing on the role of the coupling parameter $\alpha$. Using the Duan topological current method together with Ruppeiner…

General Relativity and Quantum Cosmology · Physics 2026-05-29 Y. Sekhmani , G. G. Luciano , S. K. Maurya , J. Rayimbaev , M. K. Jasim , I. Ibragimov , S. Muminov

In this paper, we study various aspects of the equilibrium thermodynamic state space geometry of AdS black holes. We first examine the Reissner-Nordstrom-AdS (RN-AdS) and the Kerr-AdS black holes. In this context, the state space scalar…

High Energy Physics - Theory · Physics 2014-11-20 Anurag Sahay , Tapobrata Sarkar , Gautam Sengupta

We study the thermodynamics and thermodynamic geometry of a five-dimensional Reissner-Nordstr\"om-AdS black hole in the extended phase space by treating the cosmological constant as being related to the number of colors in the boundary…

High Energy Physics - Theory · Physics 2015-06-23 Jia-Lin Zhang , Rong-Gen Cai , Hongwei Yu

The Reissner-Nordstrom-de Sitter (RN-dS) spacetime can be considered as a thermodynamic system. Its thermodynamic properties are discussed that the RN-dS spacetime has phase transitions and critical phenomena similar to that of the Van de…

General Relativity and Quantum Cosmology · Physics 2021-04-07 Xin-Ping Li , Yu-Bo Ma , Yang Zhang , Li-Chun Zhang , Huai-Fan Li
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