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Related papers: A Universal Smarr Formula via Coupling Constants

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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

The Smarr relation plays an important role in black hole thermodynamics. It is often claimed that the Smarr relation can be written down simply by observing the scaling behavior of the various thermodynamical quantities. We point out that…

General Relativity and Quantum Cosmology · Physics 2019-05-14 Shi-Qian Hu , Xiao-Mei Kuang , Yen Chin Ong

We construct the generalized Komar charge of generic, non-linear theories of electrodynamics (NLED) in 4 dimensions coupled to Einstein gravity. The contribution of the dimensionful coupling constant present in all these theories is…

General Relativity and Quantum Cosmology · Physics 2026-05-05 Gabriele Barbagallo , Tomás Ortín

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

The study of black hole thermodynamics becomes a central topic in gravitational physics, where the first law and the Smarr relation establish a deep connection between spacetime geometry and thermodynamic laws. As we know, these relations…

General Relativity and Quantum Cosmology · Physics 2026-05-04 Usman Zafar , Krishnakanta Bhattacharya , Kazuharu Bamba

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

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

In the Kerr-Schild double copy, static and spherically symmetric black hole solutions of general relativity are mapped to purely electric solutions of Maxwell's theory in flat spacetime. We demonstrate that, for these configurations, the…

High Energy Physics - Theory · Physics 2026-05-25 Gokhan Alkac

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

We continue to explore the scaling transformation in the reduced action formalism of gravity models. As an extension of our construction, we consider the extended forms of the Smarr relation for various black holes, adopting the…

High Energy Physics - Theory · Physics 2017-04-18 Seungjoon Hyun , Jaehoon Jeong , Sang-A Park , Sang-Heon Yi

We present geometric derivations of the Smarr formula for static AdS black holes and an expanded first law that includes variations in the cosmological constant. These two results are further related by a scaling argument based on Euler's…

High Energy Physics - Theory · Physics 2010-04-23 David Kastor , Sourya Ray , Jennie Traschen

We study properties of static, asymptotically AdS black holes in Lovelock gravity. Our main result is a Smarr formula that gives the mass in terms of geometrical quantities together with the parameters of the Lovelock theory. As in Einstein…

High Energy Physics - Theory · Physics 2010-11-22 David Kastor , Sourya Ray , Jennie Traschen

We investigate the thermodynamics of a charged dilaton black hole arising from Einstein-Maxwell-dilaton theory, where the dilaton couples exponentially to the Maxwell field via a dimensionless parameter a. Treating a as a continuous…

General Relativity and Quantum Cosmology · Physics 2025-10-17 Pabitra Tripathy , Amit Ghosh

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

Thermodynamical properties of black holes in gravitational theories without Local Lorentz invariance have been subject to intense investigation in the past years due to the presence of universal horizons, which are strong causal barriers…

General Relativity and Quantum Cosmology · Physics 2017-06-20 Costantino Pacilio , Stefano Liberati

We study the thermodynamic properties associated with the black hole event horizon and the cosmological horizon for black hole solutions in asymptotically de Sitter spacetimes. We examine thermodynamics of these horizons on the basis of the…

High Energy Physics - Theory · Physics 2007-05-23 Yuichi Sekiwa

We construct higher dimensional and exact black holes in Einstein-Maxwell-scalar-theory. The strategy we adopted is to extend the known, static and spherically symmetric black holes in the Einstein-Maxwell-dilaton gravity and…

General Relativity and Quantum Cosmology · Physics 2021-12-01 Jianhui Qiu , Changjun Gao

The connection between black hole thermodynamics and chemistry is extended to the lower-dimensional regime by considering the rotating and charged BTZ metric in the $(2+1)$-D and a $(1+1)$-D limits of Einstein gravity. The Smarr relation is…

General Relativity and Quantum Cosmology · Physics 2016-01-26 Antonia M. Frassino , Robert B. Mann , Jonas R. Mureika

We observe that in presence of excitation, a thermodynamic Smarr like relation corresponding to a generalized entanglement temperature ($T_g$) can be holographically obtained for the entanglement entropy of a subsystem. Such a relation…

High Energy Physics - Theory · Physics 2020-10-14 Ashis Saha , Sunandan Gangopadhyay , Jyoti Prasad Saha

In this work, we revisit the thermodynamics of black holes endowed with primary and secondary scalar hair in the shift and ${\rm Z}_2$ symmetric subclass of beyond Horndeski gravity. Under a specific fine-tuning of the scalar parameter $q$…

General Relativity and Quantum Cosmology · Physics 2025-10-13 Yun Soo Myung , Theodoros Nakas
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