Asymmetrically warped R=0 braneworlds
Abstract
A new family of five dimensional, R=0 braneworlds with asymmetric warp factors is proposed. Beginning with the invariance of the Ricci scalar for the general class of asymmetrically warped spacetimes we, subsequently specialise to the R=0 case. Solutions are obtained by choosing a particular relation (involving a parameter $\nu$) between the warp factors. Symmetric warping arises as a special case (particular value of $\nu$). Over a range of values of $\nu$ the energy conditions for the matter stress energy are found to hold good. It turns out that the energy density and pressures required to support these spacetimes decay as the inverse square of the fifth (extra) coordinate. The projection of this bulk stressenergy (for symmetric warping) on the 3brane yields an effective cosmological constant. We conclude with brief comments on spacetimes with constant Ricci scalar and the extension of our results to diverse dimensions.
 Publication:

arXiv eprints
 Pub Date:
 May 2002
 DOI:
 10.48550/arXiv.grqc/0205020
 arXiv:
 arXiv:grqc/0205020
 Bibcode:
 2002gr.qc.....5020K
 Keywords:

 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory
 EPrint:
 10 pages, no figures, title changed, new results added and an error corrected