Rotating and charged Taub-NUT-(A)dS spacetimes on a 3-brane
General Relativity and Quantum Cosmology
2020-09-16 v2
Abstract
We construct novel solutions to the effective Einstein equation with four dimensional cosmological constant on a 3-brane in Randall-Sundrum II scenario. The charged solution is obtained by assuming the existence of localized Maxwell fields on the 3-brane. Timelike and null circular geodesics in the neutral rotating braneworld spacetime with NUT parameter are discussed, and we find that such geodesics cannot occur on the equatorial plane. On non-equatorial planes, timelike circular geodesics can occur for the negative tidal charge, but we cannot find numerical results to support the existence of non-equatorial null circular geodesics.
Keywords
Cite
@article{arxiv.2006.08111,
title = {Rotating and charged Taub-NUT-(A)dS spacetimes on a 3-brane},
author = {Haryanto M. Siahaan},
journal= {arXiv preprint arXiv:2006.08111},
year = {2020}
}
Comments
21 pages, 4 figures; v2, refs added