Sixteenth Marcel Grossmann Meeting

Brane-world singularities in a fluid bulk

5 Jul 2021, 17:30

30m

Talk in the parallel session Topological methods, global existence problems, and spacetime singularities Topological Methods, Global Existence Problems, and Spacetime Singularities

Speaker

Ifigeneia Klaoudatou (University of the Aegean)

Description

We present new results on the singularity structure and asymptotic analysis of a brane-world that consists of a flat 3-brane embedded in a five-dimensional bulk. The bulk matter is modelled by a fluid that satisfies a non-linear equation of state of the form $p=\gamma {\rho }^{\lambda }$, where p is the ‘pressure’ and $\rho$ is the ‘density’ of the fluid. We show that for appropriate ranges of the parameters $\gamma$ and $\lambda$, it is possible to construct a regular solution, compatible with energy conditions, that successfully localizes gravity on the brane. These results improve significantly previous findings of the study of a bulk fluid with a linear equation of state.

Proceedings

Paper

mg16-proc_final.pdf