Alan Garbarz

Lifshitz Black Hole in Three Dimensions

We show that three-dimensional massive gravity admits Lifshitz metrics with generic values of the dynamical exponent

Analytic Lifshitz black holes in higher dimensions

z

Asymptotically AdS{sub 3} solutions to topologically massive gravity at special values of the coupling constants

as exact solutions. At the point

Quantization of BMS3 orbits: A perturbative approach

z=3

Addition of torsion to chiral gravity

, exact black hole solutions that are asymptotically Lifshitz arise. These spacetimes are three-dimensional analogues of those that were recently proposed as gravity duals for anisotropic scale invariant fixed points.

NAKED SINGULARITIES, TOPOLOGICAL DEFECTS AND BRANE COUPLINGS

We generalize the four-dimensional R2-corrected z = 3/2 Lifshitz black hole to a two-parameter family of black hole solutions for any dynamical exponent z and for any dimension D. For a particular relation between the parameters, we find the first example of an extremal Lifshitz black hole. An asymptotically Lifshitz black hole with a logarithmic decay is also exhibited for a specific critical exponent depending on the dimension. We extend this analysis to the more general quadratic curvature corrections for which we present three new families of higher-dimensional D ≥ 5 analytic Lifshitz black holes for generic z. One of these higher-dimensional families contains as critical limits the z = 3 three-dimensional Lifshitz black hole and a new z = 6 four-dimensional black hole. The variety of analytic solutions presented here encourages to explore these gravity models within the context of non-relativistic holographic correspondence.

Geometry and stability of spinning branes in AdS gravity

We study exact solutions to cosmological topologically massive gravity coupled to topologically massive electrodynamics at special values of the coupling constants. For the particular case of the so-called chiral point l{mu}{sub G}=1, vacuum solutions (with vanishing gauge field) are exhibited. These correspond to a one-parameter deformation of general relativity solutions, and are continuously connected to the extremal Banados-Teitelboim-Zanelli black hole with bare constants J=-lM. At the chiral point this extremal Banados-Teitelboim-Zanelli black hole turns out to be massless, and thus it can be regarded as a kind of ground state. Although the solution is not asymptotically AdS{sub 3} in the sense of Brown-Henneaux boundary conditions, it does obey the weakened asymptotic recently proposed by Grumiller and Johansson. Consequently, we discuss the holographic computation of the conserved charges in terms of the stress tensor in the boundary. For the case where the coupling constants satisfy the relation l{mu}{sub G}=1+2l{mu}{sub E}, electrically charged analogues to these solutions exist. These solutions are asymptotically AdS{sub 3} in the strongest sense, and correspond to a logarithmic branch of self-dual solutions previously discussed in the literature.

Quasilocal energy for three-dimensional massive gravity solutions with chiral deformations of AdS3 boundary conditions

Fil: Garbarz, Alan Nicolas. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Fisica; Argentina. Consejo Nacional de Investigaciones Cientificas y Tecnicas. Oficina de Coordinacion Administrativa Ciudad Universitaria. Instituto de Fisica de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Fisica de Buenos Aires; Argentina

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

Three-dimensional gravity in anti-de Sitter space is considered, including torsion. The derivation of the central charges of the algebra that generates the asymptotic isometry group of the theory is reviewed, and a special point of the theory, at which one of the central charges vanishes, is compared with the chiral point of topologically massive gravity. This special point corresponds to a singular point in the Chern-Simons theory, where one of the two coupling constants of the

AdS_3

SL(2,\mathbb{R})