Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2008-12-09
Phys.Rev.D80:064024,2009
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
31 pages, 10 figures, to appear in P.R.D
Scientific paper
10.1103/PhysRevD.80.064024
We explore the possibilities of constructing bulk spacetimes in five dimensions for warped braneworld models with a spatially flat Friedmann-Robertson-Walker (FRW) line element on the 3-brane and with a time-dependent extra dimension. Our first step in this direction involves looking at the status of energy conditions when such a bulk line element is assumed. We check these conditions by analysing the relevant inequalities, for specific functional forms (chosen to satisfy certain desirable features) of the warp factor, the cosmological scale factor and the extra-dimensional scale factor. Subsequently, we aim at obtaining solutions with different types of bulk matter sources. We begin with a general analysis of the solution space of non-singular Randall-Sundrum type bulk models with an exponential warp factor and a chosen equation of state. Thereafter, we focus on three specific bulk sources -- the ordinary scalar field, the Brans-Dicke scalar and the dilaton. In each case, we are able to solve the field equations and obtain desirable solutions for which, we once again check the viability of the energy conditions. We also show how one can place branes in the bulk using the junction conditions. The issue of resolution of the bulk singularities which appear in our solutions, using standard methods, is also presented briefly. In summary, we are able to demonstrate, that it is indeed possible to construct viable bulk spacetimes for warped cosmological braneworlds with a time-varying extra dimension and with bulk matter satisfying the energy conditions.
Ghosh Suman
Kar Sayan
No associations
LandOfFree
Bulk spacetimes for cosmological braneworlds with a time--dependent extra dimension 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 Bulk spacetimes for cosmological braneworlds with a time--dependent extra dimension, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bulk spacetimes for cosmological braneworlds with a time--dependent extra dimension will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-282156