scholarly journals Brown-York quasilocal energy in Lanczos-Lovelock gravity and black hole horizons

2015 ◽  
Vol 2015 (12) ◽  
pp. 1-19 ◽  
Author(s):  
Sumanta Chakraborty ◽  
Naresh Dadhich
Keyword(s):  
Black Hole ◽  
Lovelock Gravity ◽  
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 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.

scholarly journals Hoffmann–Infeld black-hole solutions in Lovelock gravity

2005 ◽  
Vol 22 (13) ◽  
pp. 2579-2588 ◽  
Author(s):  
Matías Aiello ◽  
Rafael Ferraro ◽  
Gastón Giribet
Keyword(s):  
Black Hole ◽  
Lovelock Gravity ◽  
Black Hole Solutions

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

Black-hole thermodynamics in Lovelock gravity

1988 ◽  
Vol 38 (8) ◽  
pp. 2434-2444 ◽  
Author(s):  
Robert C. Myers ◽  
Jonathan Z. Simon
Keyword(s):  
Black Hole ◽  
Black Hole Thermodynamics ◽  
Lovelock Gravity

scholarly journals The field-theoretical methods in Lovelock gravity

2021 ◽  
Vol 2081 (1) ◽  
pp. 012007
Author(s):  
A N Petrov
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Field Configuration ◽  
Noether Theorem ◽  
De Sitter ◽  
Lovelock Gravity ◽  
New Formalism ◽  
Theoretical Methods ◽  
Displacement Vectors ◽  
Conserved Currents

Abstract The field-theoretical methods are used to construct conserved currents and related superpotentials for perturbations on arbitrary backgrounds in the Lovelock gravity. The perturbations are considered as a dynamic field configuration propagating in a given spacetime. The field-theoretical formalism is exact (without approximations) and equivalent to the original metric theory. As Lagrangian based formalism, it allows us to apply the Noether theorem. As a result, we construct conserved currents and superpotentials, where we use arbitrary displacement vectors, not only the Killing ones or other special vectors. The developed formalism is checked in calculating mass of the Schwarzschild-anti-de Sitter (AdS) black hole. The new formalism is adopted to the case of a so-called pure Lovelock gravity, where in the Lagrangian only a one polynomial in Riemannian tensor presents. We construct conserved charges and currents for static and dynamic black holes of the Vaidya type with AdS, dS and flat asymptotics. New properties of the solutions under consideration have been found. The more results are discussed. The first section in your paper

scholarly journals A way of decoupling gravitational sources in pure Lovelock gravity

2019 ◽  
Vol 79 (11) ◽  
Author(s):  
Milko Estrada
Keyword(s):  
Black Hole ◽  
Extra Dimensions ◽  
De Sitter Space ◽  
Analytic Solutions ◽  
De Sitter ◽  
Lovelock Gravity ◽  
Regular Black Hole ◽  
Physical Interest ◽  
Geometric Deformation ◽  
Black Hole Solutions

Abstract We provide an algorithm that shows how to decouple gravitational sources in pure Lovelock gravity. This method allows to obtain several new and known analytic solutions of physical interest in scenarios with extra dimensions and with presence of higher curvature terms. Furthermore, using our method, it is shown that applying the minimal geometric deformation to the Anti de Sitter space time it is possible to obtain regular black hole solutions.

Sign in / Sign up

Export Citation Format

Share Document