scholarly journals Brown-York quasilocal energy, gravitational charge, and black hole horizons

1999 ◽  
Vol 60 (6) ◽  
Author(s):  
Sukanta Bose ◽  
Naresh Dadhich
Keyword(s):  
Black Hole ◽  
Quasilocal Energy ◽  
Gravitational Charge

scholarly journals PROBING FOAMY SPACE–TIME WITH VARIATIONAL METHODS

1999 ◽  
Vol 14 (18) ◽  
pp. 2905-2920 ◽  
Author(s):  
REMO GARATTINI
Keyword(s):  
Black Hole ◽  
Variational Methods ◽  
Momentum Space ◽  
Flat Space ◽  
Casimir Energy ◽  
Space Time ◽  
Pair Creation ◽  
Variational Procedure ◽  
Loop Correction ◽  
Quasilocal Energy

A one-loop correction of the quasilocal energy in the Schwarzschild background, with flat space as a reference metric, is performed by means of a variational procedure in the Hamiltonian framework. We examine the graviton sector in momentum space, in the lowest possible state. An application to the black hole pair creation via the Casimir energy is presented. Implications on the foamlike scenario are discussed.

Quasilocal energy for stationary axisymmetric EMDA black hole

2001 ◽  
Vol 10 (3) ◽  
pp. 234-239 ◽  
Author(s):  
Wang Shi-liang ◽  
Jing Ji-liang
Keyword(s):  
Black Hole ◽  
Quasilocal Energy

scholarly journals Quasilocal energy for a Kerr black hole

1994 ◽  
Vol 50 (8) ◽  
pp. 4920-4928 ◽  
Author(s):  
Erik A. Martinez
Keyword(s):  
Black Hole ◽  
Kerr Black Hole ◽  
Quasilocal Energy

scholarly journals The evolution of Brown–York quasilocal energy as due to evolution of Lovelock gravity in a system of M0-branes

2017 ◽  
Vol 14 (07) ◽  
pp. 1750099
Author(s):  
Alireza Sepehri ◽  
Farook Rahaman ◽  
Salvatore Capozziello ◽  
Ahmed Farag Ali ◽  
Anirudh Pradhan
Keyword(s):  
Black Hole ◽  
Massive Gravity ◽  
Dynamical Structure ◽  
Lovelock Gravity ◽  
Gravity Changes ◽  
Quasilocal Energy ◽  
New Formula

Recently, it has been suggested in [S. Chakraborty and N. Dadhich, Brown–York quasilocal energy in Lanczos–Lovelock gravity and black hole horizons, J. High Energ. Phys. 12 (2015) 003.] that the Brown–York mechanism can be used to measure the quasilocal energy in Lovelock gravity. We have used this method in a system of [Formula: see text]-branes and show that the Brown–York energy evolves in the process of birth and growth of Lovelock gravity. This can help us to predict phenomenological events which are emerged as due to dynamical structure of Lovelock gravity in our universe. In this model, first, [Formula: see text]-branes join each other and form an [Formula: see text]-brane and an anti-[Formula: see text]-branes connected by an [Formula: see text]-brane. This system is named BIon. Universes and anti-universes live on [Formula: see text]-branes and [Formula: see text] plays the role of wormhole between them. By passing time, [Formula: see text] dissolves in [Formula: see text]’s and nonlinear massive gravities like Lovelock massive gravity emerges and grows. By closing [Formula: see text]-branes, BIon evolves and wormhole between branes makes a transition to black hole. During this stage, Brown–York energy increases and shrinks to large values at the colliding points of branes. By approaching [Formula: see text]-branes towards each other, the square energy of their system becomes negative and some tachyonic states are produced. To remove these states, [Formula: see text]-branes compact, the sign of compacted gravity changes, anti-gravity is created which leads to getting away of branes from each other. Also, the Lovelock gravity disappears and its energy forms a new [Formula: see text] between [Formula: see text]-branes. By getting away of branes from each other, Brown–York energy decreases and shrinks to zero.

scholarly journals Condensates beyond the horizons

2020 ◽  
Vol 35 (19) ◽  
pp. 2050094
Author(s):  
Jorge Alfaro ◽  
Domènec Espriu ◽  
Luciano Gabbanelli
Keyword(s):  
Black Hole ◽  
Einstein Condensate ◽  
Cosmological Horizon ◽  
De Sitter ◽  
Confining Potential ◽  
Bose Einstein Condensate ◽  
Static Black Hole ◽  
Quasilocal Energy ◽  
Forbidden Region ◽  
Bose Einstein

In this work we continue our previous studies concerning the possibility of the existence of a Bose–Einstein condensate in the interior of a static black hole, a possibility first advocated by Dvali and Gómez. We find that the phenomenon seems to be rather generic and it is associated to the presence of a horizon, acting as a confining potential. We extend the previous considerations to a Reissner–Nordström black hole and to the de Sitter cosmological horizon. In the latter case the use of static coordinates is essential to understand the physical picture. In order to see whether a BEC is preferred, we use the Brown–York quasilocal energy, finding that a condensate is energetically favorable in all cases in the classically forbidden region. The Brown–York quasilocal energy also allows us to derive a quasilocal potential, whose consequences we explore. Assuming the validity of this quasilocal potential allows us to suggest a possible mechanism to generate a graviton condensate in black holes. However, this mechanism appears not to be feasible in order to generate a quantum condensate behind the cosmological de Sitter horizon.

scholarly journals Holographic entanglement entropy and modular Hamiltonian in warped CFT in the framework of GMMG model

2021 ◽  
Vol 81 (11) ◽  
Author(s):  
M. R. Setare ◽  
M. Koohgard
Keyword(s):  
Black Hole ◽  
Black Hole Solution ◽  
Entanglement Entropy ◽  
Massive Gravity ◽  
Boundary Theory ◽  
Conformal Field ◽  
Holographic Entanglement Entropy ◽  
Single Interval ◽  
Two Sides ◽  
Gravitational Charge

AbstractWe study some aspects of a class of non-AdS holography where the 3D bulk gravity is given by generalized minimal massive gravity (GMMG). We consider the spacelike warped $$AdS_3$$ A d S 3 ($$WAdS_3$$ W A d S 3 ) black hole solution of this model where the 2d dual boundary theory is the warped conformal field theory (WFCT). The charge algebra of the isometries in the bulk and the charge algebra of the vacuum symmetries at the boundary are compatible and this is an evidence for the duality conjecture. Further evidence for this duality is the equality of entanglement entropy and modular Hamiltonian on both sides of the duality. So we consider the modular Hamiltonian for the single interval at the boundary in associated to the modular flow generators of the vacuum. We calculate the gravitational charge in associated to the asymptotic Killing vectors that preserve the metric boundary conditions. Assuming the first law of the entanglement entropy to be true, we introduce the matching conditions between the variables in two side of the duality and we find equality of the modular Hamiltonian variations and the gravitational charge variations in two sides of the duality. According to the results of the present paper we can say with more sure that the dual theory of the warped AdS3 black hole solution of GMMG is a Warped CFT.

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