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

ALAN GARBARZ; GASTÓN GIRIBET; ANDRÉS GOYA; MAURICIO LESTON

GENERAL RELATIVITY AND GRAVITATION

SPRINGER/PLENUM PUBLISHERS

Lugar: New York; Año: 2014 vol. 46 p. 1 - 14

0001-7701

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, which are shown to be non-zero.