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A critical point is an important structure in the phase diagram of a thermodynamic system. In this work, we introduce topology to the study of the black hole thermodynamics for the first time by following Duan's topological current…

General Relativity and Quantum Cosmology · Physics 2022-05-11 Shao-Wen Wei , Yu-Xiao Liu

In black hole thermodynamics, it has been observed that AdS black holes behave as van der Waals system if one interprets the cosmological constant as a pressure term. Also the critical exponents for the phase transition of AdS black holes…

General Relativity and Quantum Cosmology · Physics 2017-10-19 Bibhas Ranjan Majhi , Saurav Samanta

In this paper we consider three dimensional BTZ black holes with three models of nonlinear electrodynamics as source. Calculating heat capacity, we study the stability and phase transitions of these black holes. We show that Maxwell,…

General Relativity and Quantum Cosmology · Physics 2017-10-23 Seyed Hossein Hendi , Shahram Panahiyan , Behzad Eslam Panah

In this work, we investigate the thermodynamic properties of black holes (BHs) that have non-trivial topological features in their phase diagrams. We consider three different models of BHs: (1) a class of BHs in dRGT massive gravity, which…

High Energy Physics - Theory · Physics 2024-09-10 Aqsa Mehmood , M. Umair Shahzad

It has been observed that for black holes in certain family of Horndeski gravity theories Wald's entropy formula does not lead to the correct first law for black hole thermodynamics. For this family of Horndeski theories speeds of…

General Relativity and Quantum Cosmology · Physics 2020-12-22 K. Hajian , S. Liberati , M. M. Sheikh-Jabbari , M. H. Vahidinia

We analyze thermodynamic properties of the rotating regular black holes having mass ($M$), angular momentum ($a$), and a magnetic charge $(g)$, and encompass Kerr black hole ($g=0$). The mass $M$ has a minimum at the radius…

General Relativity and Quantum Cosmology · Physics 2022-04-21 Md Sabir Ali , Sushant G Ghosh

By considering a small correction to the Maxwell field, we show that the resultant black hole solutions (also known as the asymptotically Reissner--Nordstr\"{o}m black holes) undergo the reentrant phase transition and can have a novel phase…

General Relativity and Quantum Cosmology · Physics 2022-04-07 Mehrab Momennia , Seyed Hossein Hendi

For the higher-dimensional dS spacetime embedded with black holes with non-linear charges, there are two horizons with different radiation temperatures. By introducing the interplay between two horizons this system can be regarded as an…

High Energy Physics - Theory · Physics 2022-09-13 Yun-Zhi Du , Huai-Fan Li , Li-Chun Zhang

By considering the concept of the modified Chaplygin gas (MCG) as a single fluid model unifying dark energy and dark matter, we construct a static, spherically charged black hole (BH) solution in the framework of General Relativity. The…

General Relativity and Quantum Cosmology · Physics 2025-03-25 Y. Sekhmani , J. Rayimbaev , G. G. Luciano , R. Myrzakulov , D. J. Gogoi

In these notes we present a summary of existing ideas about phase transitions of black hole spacetimes in semiclassical gravity and offer some thoughts on three possible scenarios by which these transitions could take place. Our first theme…

General Relativity and Quantum Cosmology · Physics 2007-05-23 G. J. Stephens , B. L. Hu

Phase transitions in charged topological black holes dressed with a scalar field are studied. These black holes are solutions of the Einstein-Maxwell theory with a negative cosmological constant and a conformally coupled real…

High Energy Physics - Theory · Physics 2011-01-17 Cristian Martinez , Alejandra Montecinos

The action of four-dimensional Horndeski gravity coupled to Born-Infeld electromagnetic fields is given via the Kaluza-Klein process. Dyonic black hole solution of the theory is constructed. The metric is devoid of singularity at the origin…

General Relativity and Quantum Cosmology · Physics 2021-06-15 Kun Meng , Lianzhen Cao , Jiaqiang Zhao , Fuyong Qin , Tao Zhou , Meihua Deng

The effects of conformal anomaly on the thermodynamics of black holes are investigated in this Letter from the perspective of $P-V$ criticality of AdS black holes. Treating the cosmological constant as thermodynamic pressure, we extend the…

High Energy Physics - Theory · Physics 2015-10-12 Jie-Xiong Mo , Wen-Biao Liu

In this work, we present a convenient method to perform the topological analysis of black hole thermodynamics. Utilizing the spinodal curve, thermodynamic critical points of a black hole are endowed with a topological quantity, Brouwer…

General Relativity and Quantum Cosmology · Physics 2023-03-29 Ning-Chen Bai , Lei Li , Jun Tao

Employing the thermodynamic geometry approach, we explore phase transition of four dimensional spinning black holes in an anti-de Sitter (AdS) spaces and found the following novel results. (i) Contrary to the charged AdS black hole,…

High Energy Physics - Theory · Physics 2021-12-02 Amin Dehyadegari , Ahmad Sheykhi

Understanding black hole microstructure via the thermodynamic geometry can provide us with more deeper insight into black hole thermodynamics in modified gravities. In this paper, we study the black hole phase transition and Ruppeiner…

General Relativity and Quantum Cosmology · Physics 2021-08-04 Shao-Wen Wei , Yu-Xiao Liu

Recently, Ho$\breve{r}$ava proposed a non-relativistic renormalizable theory of gravity which is essentially a field theoretic model for a UV complete theory of gravity and reduces to Einstein gravity with a non-vanishing cosmological…

General Relativity and Quantum Cosmology · Physics 2015-03-19 Ritabrata biswas , Subenoy Chakraborty

In this paper, we take cosmological constant as a thermodynamical pressure and it's conjugate quantity as a thermodynamical volume. This expression help us to investigate the phase transition and holographic heat engine. So, in order to…

High Energy Physics - Theory · Physics 2017-08-08 Kh. Jafarzade , J. Sadeghi

In this paper, we study the $P-v$ criticality of a specific charged AdS type black hole (SBH) in $f(R)$ gravity coupled with Yang-Mills field. In the extended phase space, we treat the cosmological constant as a thermodynamic pressure.…

General Relativity and Quantum Cosmology · Physics 2018-06-28 Ali Övgün

We investigate a new class of $(n+1)$-dimensional topological black hole solutions in the context of massive gravity and in the presence of logarithmic nonlinear electrodynamics. Exploring higher dimensional solutions in massive gravity…

General Relativity and Quantum Cosmology · Physics 2023-10-31 S. Rajaee Chaloshtary , M. Kord Zangeneh , S. Hajkhalili , A. Sheykhi , S. M. Zebarjad