5 research outputs found
Graviton localization and Newton's law for brane models with a non-minimally coupled bulk scalar field
Brane world models with a non-minimally coupled bulk scalar field have been
studied recently. In this paper we consider metric fluctuations around an
arbitrary gravity-scalar background solution, and we show that the
corresponding spectrum includes a localized zero mode which strongly depends on
the profile of the background scalar field. For a special class of solutions,
with a warp factor of the RS form, we solve the linearized Einstein equations,
for a point-like mass source on the brane, by using the brane bending
formalism. We see that general relativity on the brane is recovered only if we
impose restrictions on the parameter space of the models under consideration.Comment: 17 pages, revised versio
Geometrothermodynamics in Horava-Lifshitz gravity
We investigate the thermodynamic geometries of the most general static,
spherically symmetric, topological black holes of the Ho\v{r}ava--Lifshitz
gravity. In particular, we show that a Legendre invariant metric derived in the
context of geometrothermodynamics for the equilibrium manifold reproduces
correctly the phase transition structure of these black holes. Moreover, the
limiting cases in which the mass, the entropy or the Hawking temperature vanish
are also accompanied by curvature singularities which indicate the limit of
applicability of the thermodynamics and the geometrothermodynamics of black
holes. The Einstein limit and the case of a black hole with flat horizon are
also investigated.Comment: Preliminary draf