5 research outputs found
Holographic principle in the BDL brane cosmology
We study the holographic principle in the brane cosmology. Especially we
describe how to accommodate the 5D anti de Sitter Schwarzschild (AdSS)
black hole in the Binetruy-Deffayet-Langlois (BDL) approach of brane cosmology.
It is easy to make a connection between a mass of the AdSS black hole
and a conformal field theory (CFT)-radiation dominated universe on the brane in
the moving domain wall approach. But this is not established in the BDL
approach. In this case we use two parameters in the Friedmann
equation. These arise from integration and are really related to the choice of
initial bulk matter. If one chooses a bulk energy density to account
for a mass of the AdSS black hole and the static fifth dimension, a
CFT-radiation term with comes out from the bulk
matter without introducing a localized matter distribution on the brane. This
means that the holographic principle can be established in the BDL brane
cosmology.Comment: 9 pages, a version to appear in PR
A study of generalized second law of thermodynamics in modified f(R) Horava-Lifshitz gravity
This work investigates the validity of the generalized second law of
thermodynamics in modified f(R) Horava-Lifshitz gravity proposed by Chaichian
et al (2010) [Class. Quantum Grav. 27 (2010) 185021], which is invariant under
foliation-preserving diffeomorphisms. It has been observed that the equation of
state parameter behaves like quintessence (w > -1). We study the thermodynamics
of the apparent, event and particle horizons in this modified gravity. We
observe that under this gravity, the time derivative of total entropy stays at
positive level and hence the generalized second law is validated.Comment: 12 pages, 8 figures, Accepted for publication Astrophysics and Space
Science, 201
Brane versus shell cosmologies in Einstein and Einstein-Gauss-Bonnet theories
We first illustrate on a simple example how, in existing brane cosmological
models, the connection of a 'bulk' region to its mirror image creates matter on
the 'brane'. Next, we present a cosmological model with no symmetry which
is a spherical symmetric 'shell' separating two metrically different
5-dimensional anti-de Sitter regions. We find that our model becomes
Friedmannian at late times, like present brane models, but that its early time
behaviour is very different: the scale factor grows from a non-zero value at
the big bang singularity. We then show how the Israel matching conditions
across the membrane (that is either a brane or a shell) have to be modified if
more general equations than Einstein's, including a Gauss-Bonnet correction,
hold in the bulk, as is likely to be the case in a low energy limit of string
theory. We find that the membrane can then no longer be treated in the thin
wall approximation. However its microphysics may, in some instances, be simply
hidden in a renormalization of Einstein's constant, in which cases Einstein and
Gauss-Bonnet membranes are identical.Comment: 15 pages, submitted to Phys. Rev.
Simple Dynamics on the Brane
We apply methods of dynamical systems to study the behaviour of the
Randall-Sundrum models. We determine evolutionary paths for all possible
initial conditions in a 2-dimensional phase space and we investigate the set of
accelerated models. The simplicity of our formulation in comparison to some
earlier studies is expressed in the following: our dynamical system is a
2-dimensional Hamiltonian system, and what is more advantageous, it is free
from the degeneracy of critical points so that the system is structurally
stable. The phase plane analysis of Randall-Sundrum models with isotropic
Friedmann geometry clearly shows that qualitatively we deal with the same types
of evolution as in general relativity, although quantitatively there are
important differences.Comment: an improved version, 34 pages, 9 eps figure