Lorentzian and signature changing branes

Details Lorentzian and signature changing branes Lorentzian and signature changing branes

2007-05-23

arxiv.org/abs/0705.3380v1

Phys.Rev.D76:044029,2007

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, 2 figures

Scientific paper

10.1103/PhysRevD.76.044029

General hypersurface layers are considered in order to describe brane-worlds and shell cosmologies. No restriction is placed on the causal character of the hypersurface which may thus have internal changes of signature. Strengthening the results in our previous letter [1], we confirm that a good, regular and consistent description of signature change is achieved in these brane/shells scenarios, while keeping the hypersurface and the bulk completely regular. Our formalism allows for a unified description of the traditional timelike branes/shells together with the signature-changing, or pure null, ones. This allows for a detailed comparison of the results in both situations. An application to the case of hypersurface layers in static bulks is presented, leading to the general Robertson-Walker geometry on the layer --with a possible signature change. Explicit examples on anti de Sitter bulks are then studied. The permitted behaviours in different settings ($Z_{2}$-mirror branes, asymmetric shells, signature-changing branes) are analysed in detail. We show in particular that (i) in asymmetric shells there is an upper bound for the energy density, and (ii) that the energy density within the brane vanishes when approaching a change of signature. The description of a signature change as a `singularity' seen from within the brane is considered. We also find new relations between the fundamental constants in the brane/shell, its tension, and the cosmological and gravitational constants of the bulk, independently of the existence or not of a change of signature.

Affiliated with

Also associated with

No associations

Rating

Lorentzian and signature changing branes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Lorentzian and signature changing branes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Lorentzian and signature changing branes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-401971