Cristian Martinez

Black holes and asymptotics of 2+1 gravity coupled to a scalar field

We consider

Exact black hole solution with a minimally coupled scalar field

2+1

Asymptotically anti-de Sitter spacetimes and scalar fields with a logarithmic branch

gravity minimally coupled to a self-interacting scalar field. The case in which the fall-off of the fields at infinity is slower than that of a localized distribution of matter is analyzed. It is found that the asymptotic symmetry group remains the same as in pure gravity (i.e., the conformal group). The generators of the asymptotic symmetries, however, acquire a contribution from the scalar field, but the algebra of the canonical generators possesses the standard central extension. In this context, new massive black hole solutions with a regular scalar field are found for a one-parameter family of potentials. These black holes are continuously connected to the standard zero mass black hole.

Asymptotically anti-de Sitter spacetimes in topologically massive gravity

An exact four-dimensional black hole solution of gravity with a minimally coupled self-interacting scalar field is reported. The event horizon is a surface of negative constant curvature enclosing the curvature singularity at the origin, and the scalar field is regular everywhere outside the origin. This solution is an asymptotically locally anti-deSitter spacetime. The strong energy condition is satisfied on and outside the event horizon. The thermodynamical analysis shows the existence of a critical temperature, below which a black hole in vacuum undergoes a spontaneous dressing up with a nontrivial scalar field in a process reminiscent of ferromagnetism.

Higher-dimensional charged black hole solutions with a nonlinear electrodynamics source

We consider a self-interacting scalar field whose mass saturates the Breitenlohner-Freedman bound, minimally coupled to Einstein gravity with a negative cosmological constant in

Asymptotic behavior and Hamiltonian analysis of anti-de Sitter gravity coupled to scalar fields

Dg~3

ANTI-DE SITTER SPACE AND BLACK HOLES

dimensions. It is shown that the asymptotic behavior of the metric has a slower fall-off than that of pure gravity with a localized distribution of matter, due to the back-reaction of the scalar field, which has a logarithmic branch decreasing as

Lovelock black holes with a nonlinear Maxwell field

{r}^{\ensuremath{-}(D\ensuremath{-}1)/2}\mathrm{ln}r

Quasinormal modes for massless topological black holes

for large radius r. We find the asymptotic conditions on the fields which are invariant under the same symmetry group as pure gravity with negative cosmological constant (conformal group in

De Sitter black hole with a conformally coupled scalar field in four-dimensions

D\ensuremath{-}1