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We study the Brown-York quasilocal energy for regular black holes. We also express the identity that relates the difference of the Brown-York quasilocal energy and the Komar charge at the horizon to the total energy of the spacetime for…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Leonardo Balart

We generalize the quasilocal definition of the stress energy tensor of Einstein gravity to the case of third order Lovelock gravity, by introducing the surface terms that make the action well-defined. We also introduce the boundary…

High Energy Physics - Theory · Physics 2008-11-26 M. H. Dehghani , R. B. Mann

In this work, we extend the analysis of Brown and York to find the quasilocal energy in a spherical box in the Schwarzschild spacetime. Quasilocal energy is the value of the Hamiltonian that generates unit magnitude proper-time translations…

General Relativity and Quantum Cosmology · Physics 2016-08-24 Sukanta Bose , Leonard Parker , Yoav Peleg

We investigate the thermodynamics of Einstein-Maxwell(-Dilaton) theory for an asymptotically flat spacetime in a quasilocal frame. We firstly define a quasilocal thermodynamic potential via the Euclidean on-shell action and formulate a…

High Energy Physics - Theory · Physics 2021-01-29 Yein Lee , Matthew Richards , Sean Stotyn , Miok Park

We introduce the surface term for quasitopological gravity in order to make the variational principle of the action well-defined. We also introduce the charged black branes of quasitopological gravity and calculate the finite action through…

High Energy Physics - Theory · Physics 2011-11-03 M. H. Dehghani , M. H. Vahidinia

In this note, using the quasilocal formalism of Brown and York, the flow of energy through a closed surface containing a gravitating physical system is calculated in a way that augments earlier results on the subject by Booth and Creighton.…

General Relativity and Quantum Cosmology · Physics 2022-01-05 Albert Huber

From a covariant Hamiltonian formulation, using symplectic ideas, we obtain covariant quasilocal energy-momentum boundary expressions for general gravity theories. The expressions depend upon which variables are fixed on the boundary, a…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Chiang-Mei Chen , James M. Nester , Roh Suan Tung

I modify the quasilocal energy formalism of Brown and York into a purely Hamiltonian form. As part of the reformulation, I remove their restriction that the time evolution of the boundary of the spacetime be orthogonal to the leaves of the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ivan S. Booth

In this work we study a homogeneous and quasilocal Thermodynamics associated to the Schwarzschild-anti de Sitter black hole. The usual thermodynamic description is extended within a Hamiltonian approach with the introduction of the…

High Energy Physics - Theory · Physics 2019-10-21 W. B. Fontana , M. C. Baldiotti , R. Fresneda , C. Molina

Quasinormal modes play a prominent role in relaxation of diverse physical systems to equilibria, ranging from astrophysical black holes to tiny droplets of quark-gluon plasma at RHIC and LHC accelerators. We propose that a novel kind of…

High Energy Physics - Theory · Physics 2025-02-04 Matisse De Lescluze , Michal P. Heller

We construct a Hamiltonian formulation of quasilocal general relativity using an extended phase space that includes boundary coordinates as configuration variables. This allows us to use Hamiltonian methods to derive an expression for the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Ivan S. Booth , Stephen Fairhurst

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

We investigate the orbital stability of black solitons for a broad class of quasilinear Schr\"odinger equations in one space dimension, with nonzero boundary conditions at infinity. Namely, our framework handles general defocusing…

Analysis of PDEs · Mathematics 2026-05-14 Erwan Le Quiniou

The proper understanding of the electromagnetic counterpart of gravity-waves emitters is of serious interest to the multimessenger astronomy. In this article, we study the numerical stability of the quasinormal modes (QNM) and quasibound…

High Energy Astrophysical Phenomena · Physics 2015-12-01 Denitsa Staicova , Plamen Fiziev

The Brown-York stress tensor provides a means for defining quasilocal gravitational charges in subregions bounded by a timelike hypersurface. We consider the generalization of this stress tensor to null hypersurfaces. Such a stress tensor…

High Energy Physics - Theory · Physics 2022-04-14 Venkatesa Chandrasekaran , Eanna E. Flanagan , Ibrahim Shehzad , Antony J. Speranza

Energy is at best defined quasilocally in general relativity. Quasilocal energy definitions depend on the conditions one imposes on the boundary Hamiltonian, i.e., how a finite region of spacetime is "isolated". Here, we propose a method to…

General Relativity and Quantum Cosmology · Physics 2016-10-19 Nezihe Uzun

I generalize the quasilocal formulation of thermodynamics of Brown and York to include dilaton theories of gravity as well as Abelian and Yang-Mills gauge matter fields with possible dilaton couplings. The resulting formulation is…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jolien D. E. Creighton

As in the case of Einstein or Lovelock gravity, the action of quartic quasitopological gravity has not a well-defined variational principle. In this paper, we first introduce a surface term that makes the variation of quartic…

High Energy Physics - Theory · Physics 2013-09-17 A. Bazrafshan , M. H. Dehghani , M. Ghanaatian

We construct new models of black hole-neutron star binaries in quasiequilibrium circular orbits by solving Einstein's constraint equations in the conformal thin-sandwich decomposition together with the relativistic equations of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Keisuke Taniguchi , Thomas W. Baumgarte , Joshua A. Faber , Stuart L. Shapiro

We investigate quasinormal ringing in both time and frequency domains for scalar and neutrino perturbations around black hole solutions that simultaneously describe regular and extreme configurations within a non-linear electrodynamics…

General Relativity and Quantum Cosmology · Physics 2024-05-28 Milena Skvortsova