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We use the quasilocal formalism of Brown and York, supplemented with counterterms, to investigate the thermodynamics of asymptotically flat black holes. We consider two families of exact regular black hole solutions, which are…

High Energy Physics - Theory · Physics 2024-04-25 Dumitru Astefanesei , Romina Ballesteros , Paulina Cabrera , Gonzálo Casanova , Raúl Rojas

An asymptotic preserving and energy stable scheme for the Euler-Poisson system under the quasineutral scaling is designed and analysed. Correction terms are introduced in the convective fluxes and the electrostatic potential, which lead to…

Numerical Analysis · Mathematics 2023-07-24 K. R. Arun , Rahuldev Ghorai , Mainak Kar

We study the duality of quasilocal energy and charges with non-orthogonal boundaries in the (2+1)-dimensional low-energy string theory. Quasilocal quantities shown in the previous work and some new variables arisen from considering the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Sung-Won Kim , Won Tae Kim , John J. Oh , Ki-Hyuk Yee

This paper investigates the relationship between the quasilocal energy of Brown and York and certain spinorial expressions for gravitational energy constructed from the Witten-Nester integral. A key feature of the Brown-York method for…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Stephen R. Lau

The exact computation of asymptotic quasinormal frequencies is a technical problem which involves the analytic continuation of a Schrodinger-like equation to the complex plane and then performing a method of monodromy matching at the…

High Energy Physics - Theory · Physics 2015-06-26 Vitor Cardoso , Jose Natario , Ricardo Schiappa

Bearing the thermodynamic arguments together with the two definitions of mass in mind, we try to find metrics with spherical symmetry. We consider the adiabatic condition along with the Gong-Wang mass, and evaluate the $g_{rr}$ element…

General Relativity and Quantum Cosmology · Physics 2016-12-23 H. Moradpour , S. Nasirimoghadam

We consider the energetics and thermodynamics of spacetimes with no horizons, but endowed with a preferred timelike junction surface. They could arise as a limiting case of the gravastar and other constructions regularizing the interior of…

General Relativity and Quantum Cosmology · Physics 2025-07-08 Raymond Isichei , João Magueijo

We formulate an analogue transverse first law for general closed marginally trapped surfaces in arbitrary spacetimes. The construction is intrinsically quasi-local and is attached directly to an individual marginally trapped surface, rather…

General Relativity and Quantum Cosmology · Physics 2026-03-13 Ramon Torres

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

We extend the analysis, initiated in arXiv:1901.01269, of the thermodynamic stability of four-dimensional asymptotically flat hairy black holes by considering a general class of exact solutions in Einstein-Maxwell-dilaton theory with a…

High Energy Physics - Theory · Physics 2021-03-17 Dumitru Astefanesei , Jose Luis Blázquez-Salcedo , Francisco Gómez , Raúl Rojas

This article considers the quasi-local energy in reference to a general static spacetime. We follow the approach developed by the authors in [19, 20, 7, 9] and define the quasi-local energy as a difference of surface Hamiltonians, which are…

Differential Geometry · Mathematics 2016-04-12 Po-Ning Chen , Mu-Tao Wang , Ye-Kai Wang , Shing-Tung Yau

We construct generalized sets of asymptotic conditions for both three-dimensional Maxwell Chern-Simons gravity and a novel extension that incorporates torsion through a deformation of the Maxwell algebra. These boundary conditions include…

High Energy Physics - Theory · Physics 2026-02-25 Luis Avilés , Patrick Concha , Javier Matulich , Evelyn Rodríguez , David Tempo

We analyze the structural and thermodynamic properties of $D$-dimensional ($D \geq 4$), asymptotically flat or Anti-de-Sitter, electrically charged black hole solutions, resulting from the minimal coupling of general nonlinear…

General Relativity and Quantum Cosmology · Physics 2019-04-24 H. Benbellout , J. Diaz-Alonso , D. Rubiera-Garcia

In three dimensions, we consider the Einstein-Maxwell Lagrangian dressed by a nonminimally coupled scalar field in New Massive Gravity. For this theory, we provide two families of electrically charged Lifshitz black holes where their metric…

High Energy Physics - Theory · Physics 2020-03-31 Moises Bravo-Gaete , María Montserrat Juárez-Aubry

We propose a generalized thermodynamics in which quasi-homogeneity of the thermodynamic potentials plays a fundamental role. This thermodynamic formalism arises from a generalization of the approach presented in paper [1], and it is based…

General Relativity and Quantum Cosmology · Physics 2015-06-25 F. Belgiorno

An analytical solution representing traversable asymptotically flat and symmetric wormholes was obtained without adding exotic matter in two different theories independently: in the Einstein-Maxwell-Dirac theory and in the second…

General Relativity and Quantum Cosmology · Physics 2021-10-08 M. S. Churilova , R. A. Konoplya , Z. Stuchlik , A. Zhidenko

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

In general relativity, quasi-local energy-momentum expressions have been constructed from various formulae. However, Newtonian theory of gravity gives a well known and an unique quasi-local mass expression (surface integration). Since…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Yu-Huei Wu , Chih-Hung Wang

We consider black hole solutions with electric and magnetic sources in the four-dimensional Einstein-Born-Infeld-AdS theory with spherical, planar and hyperbolic horizon geometries. Exact analytical solutions for the metric function,…

General Relativity and Quantum Cosmology · Physics 2023-04-07 Mykhailo Tataryn , Mykola Stetsko

A generalization of the Density Functional Theory is proposed. The theory developed leads to single-particle equations of motion with a quasi-local mean-field operator, which contains a quasi-particle position-dependent effective mass and a…

Nuclear Theory · Physics 2009-11-07 V. B. Soubbotin , V. I. Tselyaev , X. Vinas