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The method of topological renormalization in anti-de Sitter (AdS) gravity consists in adding to the action a topological term which renders it finite, defining at the same time a well-posed variational problem. Here, we use this…

High Energy Physics - Theory · Physics 2021-02-03 Luca Ciambelli , Cristóbal Corral , José Figueroa , Gastón Giribet , Rodrigo Olea

The first law of black hole mechanics, which relates the change of energy to the change of entropy and other conserved charges, has been the main motivation for probing the thermodynamic properties of black holes. In this work, we…

High Energy Physics - Theory · Physics 2022-01-02 Nelson Hernández Rodríguez , Maria J. Rodriguez

Generalising expressions given by Komar, we give precise definitions of gravitational mass and solitonic NUT charge and we apply these to the description of a class of Minkowski-signature multi-Taub-NUT solutions without rod singularities.…

High Energy Physics - Theory · Physics 2009-05-26 Guillaume Bossard , Hermann Nicolai , K. S. Stelle

We modify the method to generate the exact solutions of the Einstein equations basing on the laws of thermodynamics. Firstly, the Komar mass is used to take the place of the Misner-Sharp energy which is used in the original methods, and…

General Relativity and Quantum Cosmology · Physics 2017-03-08 Hong-Wei Tan , Jin-Bo Yang , Tang-Mei He , Jing-Yi Zhang

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

We present a novel solution obeying classical equation of motion in the low energy limit of heterotic string theory. The solution represents a rotating mass with electric charge and gravitomagnetic monopole moment. The corresponding…

General Relativity and Quantum Cosmology · Physics 2020-12-02 Haryanto M. Siahaan

Currently, there is a great deal of interest in the seeking of consistent thermodynamics of the Lorentzian Taub-NUT spacetimes. Despite a lot of ``satisfactory'' efforts have been made, all of these activities have been restricted to the…

High Energy Physics - Theory · Physics 2023-09-19 Di Wu , Shuang-Qing Wu

In this work we will explore $U(1)$ local cosmic string solutions in the context of the generalized hybrid metric-Palatini theory of gravity in its scalar-tensor representation. Using a general static cylindrically symmetric metric to find…

General Relativity and Quantum Cosmology · Physics 2021-12-13 Hilberto M. R. da Silva , Tiberiu Harko , Francisco S. N. Lobo , João Luís Rosa

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

In theories of gravity where the cosmological constant defines a thermodynamic variable, the pressure, it has been shown that solutions of Einstein's equations have a corresponding thermodynamic volume. In general, the expression for the…

High Energy Physics - Theory · Physics 2014-12-03 Scott MacDonald

We study the Misner-Sharp mass for the $f(R)$ gravity in an $n$-dimensional (n$\geq$3) spacetime which permits three-type $(n-2)$-dimensional maximally symmetric subspace. We obtain the Misner-Sharp mass via two approaches. One is the…

General Relativity and Quantum Cosmology · Physics 2014-11-27 Hongsheng Zhang , Yapeng Hu , Xin-Zhou Li

The problem of singularities associated with Dirac strings and closed timelike curves in classical solutions of pure gravity is analyzed here. A method to eliminate these is introduced and established first for the Taub-NUT geometry. This…

General Relativity and Quantum Cosmology · Physics 2019-07-03 Suvikranth Gera , Sandipan Sengupta

We study a charged Taub-NUT spacetime solution in the DGP brane. We show that the Reissner-Nordstrom-Taub-NUT-de Sitter solution of Einstein-Maxwell gravity solves the corresponding equations of motion, where the cosmological constant is…

General Relativity and Quantum Cosmology · Physics 2023-02-15 Haryanto M. Siahaan

The dual Komar mass generalizes the concept of the NUT parameter and is akin to the magnetic charge in electrodynamics. In asymptotically flat spacetimes it coincides with the dual supertranslation charge. The dual mass vanishes identically…

High Energy Physics - Theory · Physics 2020-10-16 Uri Kol

We consider static and cylindrically symmetric interior string type solutions in the scalar-tensor representation of the hybrid metric-Palatini modified theory of gravity. As a first step in our study, we obtain the gravitational field…

General Relativity and Quantum Cosmology · Physics 2020-06-25 Tiberiu Harko , Francisco S. N. Lobo , Hilberto M. R. da Silva

We construct a novel charged Taub-NUT spacetime, providing a first non-trivial example of a self-gravitating solution to the recently proposed ModMax theory, the most general (1-parametric) theory of non-linear electrodynamics that is…

High Energy Physics - Theory · Physics 2021-04-28 Alvaro Ballon Bordo , David Kubiznak , Tales Rick Perche

We construct Komar-type integrals for theories of gravity of higher order in the Riemann curvature coupled to simple kinds of matter (scalar and vector fields) and we use them to compute Smarr formulae for black-hole solutions in those…

General Relativity and Quantum Cosmology · Physics 2021-09-01 T. Ortín

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

In this paper, we derive the consistent thermodynamics of the four-dimensional Lorentzian charged Reissner-Nordstr\"om-NUT (RN-NUT), Kerr-Newman-NUT (KN-NUT), and RN-NUT-AdS spacetimes in the framework of the ($\psi-\mathcal{N}$)-pair…

General Relativity and Quantum Cosmology · Physics 2023-07-12 Di Wu

The covariant Noether charge formalism (also known as the covariant phase method) of Wald and collaborators, including its cohomological extension, is a manifestly covariant Hamiltonian formalism that, in principle, allows one to define and…

High Energy Physics - Theory · Physics 2019-12-04 Óscar J. C. Dias , Gavin S. Hartnett , Jorge E. Santos