Generalization of the Randall-Sundrum solution
High Energy Physics - Theory
2016-05-25 v3 High Energy Physics - Phenomenology
Abstract
The generalization of the Randall-Sundrum solution for the warp factor exp[sigma(y)] in the scenario with one extra coordinate y, non-factorizable space-time geometry and two branes isobtained. It is shown that the function obtained sigma(y) is symmetric with respect to an interchange of two branes. It also obeys the orbifold symmetry y -> - y and explicitly reproduces jumps of its derivative on both branes. This solution is defined by the Einstein-Hilbert's equations up to a constant C. It is demonstrated that different values of C results in theories with quite different spectra of the Kaluza-Klein gravitons.
Cite
@article{arxiv.1512.01091,
title = {Generalization of the Randall-Sundrum solution},
author = {A. V. Kisselev},
journal= {arXiv preprint arXiv:1512.01091},
year = {2016}
}
Comments
10 equations and 8 references are added; 16 pagers, 1 figure. arXiv admin note: substantial text overlap with arXiv:1403.2238