Bulk spacetimes for cosmological braneworlds with a time-dependent extra dimension
- Department of Physics and Centre for Theoretical Studies, Indian Institute of Technology, Kharagpur 721 302 (India)
We explore the possibilities of constructing bulk spacetimes in five dimensions for warped braneworld models with a spatially flat Friedmann-Robertson-Walker 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 analyzing 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 to obtain solutions with different types of bulk matter sources. We begin with a general analysis of the solution space of nonsingular 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.
- OSTI ID:
- 21322737
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 80, Issue 6; Other Information: DOI: 10.1103/PhysRevD.80.064024; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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