MG11 
Talk detail
 

 Participant 

Institution

Session

Talk

Abstract

Hamiltonian theory of brane-world gravity

A brane-world universe consists of a 4-dimensional brane embedded into a 5-dimensional space-time (bulk). We apply the Arnowitt-Deser-Misner decomposition to the brane-world, which results in a 3+1+1 break-up of the bulk. We present the canonical theory of brane cosmology based on this decomposition. The Hamiltonian equations allow for the study of any physical phenomena in brane gravity. This method gives new prospects for studying the initial value problem, stability analysis, brane black holes, cosmological perturbation theory and canonical quantization in brane-worlds.

Canonical analysis of equilibrium stellar atmospheres

The spherically symmetric, static spacetime generated by a crossflow of non-interacting null dust streams can be conveniently interpreted as the radiation atmosphere of a radiating star, which also receives exterior radiation. Formally, such a superposition of sources is equivalent to an anisotropic fluid. Therefore, there is a preferred time function in the system, defined by this reference fluid. This internal time is employed as a canonical coordinate, in order to linearize the Hamiltonian constraint. This turns to be helpful in the canonical quantization of the geomery of the stellar atmosphere.