Eur. Phys. J. C (2016) 76: 511
https://doi.org/10.1140/epjc/s10052-016-4353-9

Regular Article - Theoretical Physics

Curved branes with regular support

¹ LPTHE, UMR CNRS 7589, Sorbonne Universités, UPMC Paris 6, 4 Place Jussieu, T13-14, 75005, Paris, France
² Albert Einstein Center for Fundamental Physics, ITP, University of Bern, Sidlerstrasse 5, 3012, Bern, Switzerland
³ Department of Mathematics, American University of the Middle East, P. O. Box 220, 15453, Dasman, Kuwait

^* e-mail: skot@aegean.gr

Received: 2 July 2016
Accepted: 2 September 2016
Published online: 20 September 2016

Abstract

We study spacetime singularities in a general five-dimensional braneworld with curved branes satisfying four-dimensional maximal symmetry. The bulk is supported by an analog of perfect fluid with the time replaced by the extra coordinate. We show that contrary to the existence of finite-distance singularities from the brane location in any solution with flat (Minkowski) branes, in the case of curved branes there are singularity-free solutions for a range of equations of state compatible with the null energy condition.