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Related papers: Thermodynamic Volume and the Extended Smarr Relati…

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With the objective to generalize previous results found for a handful of explicit solutions, we study the extended thermodynamics of a black brane with minimally coupled scalar hair in D-dimensional asymptotically anti-de Sitter spacetimes.…

General Relativity and Quantum Cosmology · Physics 2020-09-10 Alvaro Ballon Bordo

The first law of black hole thermodynamics in the presence of a cosmological constant $\Lambda$ can be generalized by introducing a term containing the variation $\delta\Lambda$. Similar to other terms in the first law, which are variations…

General Relativity and Quantum Cosmology · Physics 2022-03-25 Kamal Hajian , Hikmet Özşahin , Bayram Tekin

We examine the concept of black hole thermodynamic volume and its consistency with thermodynamic mass in spacetimes that are not asymptotically flat but instead have anisotropic Lifshitz scaling symmetry. We find that the generalized Smarr…

High Energy Physics - Theory · Physics 2016-07-20 Wilson G. Brenna , Robert B. Mann , Miok Park

In the extended phase space approach, one can define thermodynamic pressure and volume that gives rise to the van der Waals type phase transition for black holes. For Einstein's GR, the expressions of these quantities are unanimously…

General Relativity and Quantum Cosmology · Physics 2023-03-01 Krishnakanta Bhattacharya

Recently, it was discovered that lower-dimensional versions of Lovelock gravity exist as scalar-tensor theories that are examples of Horndeski gravity. We study the thermodynamics of the static black hole solutions in these theories up to…

High Energy Physics - Theory · Physics 2025-07-11 Gokhan Alkac , Gokcen Deniz Ozen , Hikmet Ozsahin , Gun Suer , Mustafa Tek

The early literature on black hole thermodynamics ignored the $P$-$V$ term associated with the existence of a fundamental physical constant in the black hole solution. The inclusion of this constant in the first law becomes inconsistent…

General Relativity and Quantum Cosmology · Physics 2016-02-22 Mustapha Azreg-Aïnou

Field equations of a classical, geometric, theory of gravity, augmented with some semiclassical considerations strongly suggest that the gravitational field representing a stationary black hole can be simply described with a few…

General Relativity and Quantum Cosmology · Physics 2024-10-22 Aydin Tavlayan , Bayram Tekin

In this paper, we study the thermodynamics and geothermodynamics of spherical black hole solutions in dRGT massive gravity in a new extended phase space. Inspired by the work of Kastor et al. [1], by interpreting the graviton mass as a…

High Energy Physics - Theory · Physics 2019-05-01 M. Chabab , H. El Moumni , S. Iraoui , K. Masmar

Recent studies have presented the interpretation of thermodynamic enthalpy for the mass of BTZ black holes and the corresponding Smarr formula. All these are made in the background of three-dimensional (3D) general relativity. In this…

General Relativity and Quantum Cosmology · Physics 2017-01-13 Chao Liang , Li Gong , Baocheng Zhang

We study black-hole thermodynamics in theories that contain dimensionful constants such as the cosmological constant or coupling constants in Wald's formalism. The most natural way to deal with these constants is to promote them to scalar…

High Energy Physics - Theory · Physics 2023-01-18 Patrick Meessen , Dimitrios Mitsios , Tomás Ortín

When the cosmological constant, $\Lambda$, is interpreted as a thermodynamic variable in the study of black hole thermodynamics a very rich structure emerges. It is natural to interpret $\Lambda$ as a pressure and define the…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Brian P. Dolan

We show that the calculation of the thermodynamic volume in the bulk theory is sensitive to conformal anomalies in the dual CFT, and present a new way of calculating it when the conformal anomalies do not vanish. This solves the issue where…

High Energy Physics - Theory · Physics 2023-07-18 Adel Awad , Hassan ElSayed

Inspired by the recent studies on the thermodynamics of AdS black holes in the restricted phase space formalism, we propose a similar formalism for the thermodynamics of non-AdS black holes with variable Newton constant. It is shown that,…

High Energy Physics - Theory · Physics 2022-02-08 Tao Wang , Liu Zhao

We advocate for a holographic definition of thermodynamic pressure and volume for black holes based on quasi-local gravitational thermodynamics. When a black hole is enclosed by a finite timelike boundary, York's quasi-local first law…

High Energy Physics - Theory · Physics 2026-05-22 Silvester Borsboom , Manus R. Visser

We obtain a slowly rotating black hole solution in the scalar-tensor theory of gravity with nonminimal derivative coupling to the Einstein tensor. Properties of the obtained solution have been examined carefully. We also investigate the…

High Energy Physics - Theory · Physics 2018-11-14 M. M. Stetsko

We show that the Hawking--Bekenstein entropy formula is modified by a factor of $8/3$ if one also considers a work term in the 1st law of thermodynamics by a pressure stemming from the Hawking radiation. We give an intuitive definition for…

General Relativity and Quantum Cosmology · Physics 2020-04-22 Tamás S. Biró , Viktor G. Czinner , Hideo Iguchi , Péter Ván

We review recent developments on the thermodynamics of black holes in extended phase space, where the cosmological constant is interpreted as thermodynamic pressure and treated as a thermodynamic variable in its own right. In this approach,…

High Energy Physics - Theory · Physics 2021-05-07 David Kubiznak , Robert B. Mann , Mae Teo

In a generic theory of gravity coupled to matter fields, the Smarr formula for black holes does not work properly if the contributions of the coupling constants defining the theory are not incorporated. However, these couplings, such as the…

General Relativity and Quantum Cosmology · Physics 2024-05-08 Kamal Hajian , Bayram Tekin

While the quasi-local thermodynamics of spherically symmetric black holes is well described by pressure and volume, extending this framework to rotating spacetimes poses a significant challenge. Rotation induces an oblate deformation of the…

General Relativity and Quantum Cosmology · Physics 2026-03-31 Thiago Campos

In extended black hole thermodynamics, the cosmological constant and other couplings are treated as thermodynamic variables, yielding the first law $\tilde{\delta}M = T\tilde{\delta}S+\Omega\tilde{\delta}J +\mathcal{V}…

General Relativity and Quantum Cosmology · Physics 2026-05-21 Yong Xiao , Yu-Xiao Liu , Yu Tian , Hongbao Zhang
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