Mauricio Leston

Scalar field perturbations in asymptotically Lifshitz black holes

We consider scalar field perturbations about asymptotically Lifshitz black holes with dynamical exponent

Anti-de Sitter holography for gravity and higher spin theories in two dimensions

z

Geometric Configurations, Regular Subalgebras of E(10) and M-Theory Cosmology

in

Boundary stress tensor and asymptotically AdS3 non-Einstein spaces at the chiral point

D

A special class of rank 10 and 11 Coxeter groups

dimensions. We show that, for suitable boundary conditions, these Lifshitz black holes are stable under scalar field perturbations. For

Modular energy inequalities from relative entropy

z=2

Chern-Simons action for inhomogeneous Virasoro group as extension of three dimensional flat gravity

, we explicitly compute the quasinormal mode frequencies, which result to be purely imaginary, and then obtain the damping-off of the scalar field perturbation in these backgrounds. The general analysis includes, in particular, the

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

z=3

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

black hole solution of three-dimensional massive gravity.

AdS_3

We provide a holographic description of two-dimensional dilaton gravity with Anti-de Sitter boundary conditions. We find that the asymptotic symmetry algebra consists of a single copy of the Virasoro algebra with non-vanishing central charge and point out difficulties with the standard canonical treatment. We generalize our results to higher spin theories and thus provide the first examples of two-dimensional higher spin gravity with holographic description. For spin-3 gravity we find that the asymptotic symmetry algebra is a single copy of the W3-algebra. Gravity models in lower dimensions can provide useful insights into classical and quantum gravity. They were studied vigorously in the past three decades. In terms of technical simplicity, the optimal choice for the dimension is two: it is the lowest dimension where the notions of curvature, causal structure, light-cones and black holes exist, all of which are essential features of the way we think about gravity in higher dimensions. Of course, some aspects of higher-dimensional gravity are inevitably