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- Title
Quasilocal energy for three-dimensional massive gravity solutions with chiral deformations of AdS $$_3$$ boundary conditions.
- Authors
Garbarz, Alan; Giribet, Gaston; Goya, Andrés; Leston, Mauricio
- 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 Bañados-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 AdS $$_3$$ asymptotic, these solutions have non-zero mass and angular momentum, which we compute.
- Subjects
BOUNDARY value problems; ALGEBRAIC field theory; KERR black holes; ANGULAR momentum (Mechanics); GRAVITATIONAL mass; GRAVITY
- Publication
General Relativity & Gravitation, 2014, Vol 46, Issue 5, p1
- ISSN
0001-7701
- Publication type
Article
- DOI
10.1007/s10714-014-1735-x