515 research outputs found
Solutions for Klein-Gordon equation in Randall-Sundrum-Kerr scenario
We study the scalar perturbations of rotating black holes in framework of
extra dimensions type Randall-Sundrum(RS).Comment: 2 pages, revtex4, contribution to conference "100 years of
Relativity", Sao Paulo, Brazil, Aug. 22-24, 200
Quasinormal modes and thermodynamical aspects of the 3D Lifshitz black hole
We consider scalar and spinorial perturbations on a background described by a
three-dimensional Lifshitz black hole. We obtained the corresponding
quasinormal modes which perfectly agree with the analytical result for the
quasinormal frequency in the scalar case. The numerical results for the
spinorial perturbations reinforce our conclusion on the stability of the model
under these perturbations. We also calculate the area spectrum, which prove to
be equally spaced, as an application of our results.Comment: 8 pages, 5 figures. Prepared for "Recent Developments in Gravity (NEB
XV)", Chania, Greece, 20-23 June 201
Three dimensional Lifshitz black hole and the Korteweg-de Vries equation
We consider a solution of three dimensional New Massive Gravity with a
negative cosmological constant and use the AdS/CTF correspondence to inquire
about the equivalent two dimensional model at the boundary. We conclude that
there should be a close relation with the Korteweg-de Vries equation.Comment: 4 page
Domain size heterogeneity in the Ising model: geometrical and thermal transitions
A measure of cluster size heterogeneity (), introduced by Lee et al [Phys.
Rev. E {\bf 84}, 020101 (2011)] in the context of explosive percolation, was
recently applied to random percolation and to domains of parallel spins in the
Ising and Potts models. It is defined as the average number of different domain
sizes in a given configuration and a new exponent was introduced to explain its
scaling with the size of the system. In thermal spin models, however, physical
clusters take into account the temperature-dependent correlation between
neighboring spins and encode the critical properties of the phase transition.
We here extend the measure of to these clusters and, moreover, present new
results for the geometric domains for both and 3. We show that the
heterogeneity associated with geometric domains has a previously unnoticed
double peak, thus being able to detect both the thermal and percolative
transition. An alternative interpretation for the scaling of that does not
introduce a new exponent is also proposed.Comment: 7 pages, 4 figure
On a Sobolev-type inequality and its minimizers
Critical Sobolev-type inequality for a class of weighted Sobolev spaces on
the entire space is established. We also investigate the existence of extremal
function for the associated variational problem. As an application, we prove
the existence of a weak solution for a general class of critical semilinear
elliptic equations related to the polyharmonic operator
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