Regular Schwarzschild-like spacetime embedded in a five dimensional bulk
arXiv:2108.11953 · doi:10.1016/j.aop.2021.168582
Abstract
We take advantage of the Shiromizu et al. covariant formalism to find out the brane properties originating from the five dimensional bulk spacetime. Making a different choice for the conformal factor compared to Estrada [24], we reach a new solution with a lot of interesting properties, where . The non-local tensor rooted from the 5-dimensional Riemann tensor gives an anisotropic stress energy tensor on the brane with positive energy density and negative radial pressure. The BH on the brane looks like a black string in the 5-dimensional space, with no singularities of the curvature invariants.
arXiv comment9 pages, no figures, version published in Annals of Physics, 433, 168582 (2021)
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