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arXiv · 1307.4791

Quasilocal energy for three-dimensional massive gravity solutions with chiral deformations of AdS boundary conditions

Alan Garbarz·Gaston Giribet·Andrés Goya·Mauricio Leston
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Abstract

We consider critical gravity in three dimensions; that is, the New Massive Gravity theory formulated about Anti-de Sitter (AdS) space with the specific value of the graviton mass for which it results dual to a two-dimensional conformal field theory with vanishing central charge. As it happens with Kerr black holes in four-dimensional critical gravity, in three-dimensional critical gravity the Banados-Teitelboim-Zanelli black holes have vanishing mass and vanishing angular momentum. However, provided suitable asymptotic conditions are chosen, the theory may also admit solutions carrying non-vanishing charges. Here, we give simple examples of exact solutions that exhibit falling-off conditions that are even weaker than those of the so-called Log-gravity. For such solutions, we define the quasilocal stress-tensor and use it to compute conserved charges. Despite the drastic deformation of AdS3 asymptotic, these solutions have finite mass and angular momentum.

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Alan Garbarz, Gaston Giribet, Andrés Goya, Mauricio Leston. 2013-07-17. Quasilocal energy for three-dimensional massive gravity solutions with chiral deformations of AdS boundary conditions. https://doi.org/10.1007/s10714-014-1735-x

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