scholarly journals Extrinsic Black Hole Uniqueness in Pure Lovelock Gravity

Author(s):  
Levi Lopes de Lima ◽  
Frederico Girão ◽  
José Natário
Keyword(s):  
2019 ◽  
Vol 794 ◽  
pp. 77-82 ◽  
Author(s):  
Hao Xu ◽  
Man-Hong Yung

2005 ◽  
Vol 22 (13) ◽  
pp. 2579-2588 ◽  
Author(s):  
Matías Aiello ◽  
Rafael Ferraro ◽  
Gastón Giribet

1988 ◽  
Vol 38 (8) ◽  
pp. 2434-2444 ◽  
Author(s):  
Robert C. Myers ◽  
Jonathan Z. Simon

2021 ◽  
Vol 2081 (1) ◽  
pp. 012007
Author(s):  
A N Petrov

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


Author(s):  
Milko Estrada

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.


2019 ◽  
Vol 79 (10) ◽  
Author(s):  
Milko Estrada ◽  
Rodrigo Aros

Abstract In this work it is shown that the thermodynamics of regular black holes with a cosmological horizon, which are solutions of Lovelock gravity, determines that they must evolve either into a state where the black hole and cosmological horizons have reached thermal equilibrium or into an extreme black hole geometry where the black hole and cosmological horizons have merged. This differs from the behavior of Schwarzschild de Sitter geometry which evolves into a de Sitter space, the ground state of the space of solutions. This occurs due to a phase transition of the heat capacity of the black hole horizon. To perform that analysis it is shown that at each horizon a local first law of thermodynamics can be obtained from the gravitational equations.


2018 ◽  
Vol 35 (5) ◽  
pp. 055005 ◽  
Author(s):  
B Cvetković ◽  
D Simić
Keyword(s):  

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