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arXiv · 2108.11953

Regular Schwarzschild-like spacetime embedded in a five dimensional bulk

Hristu Culetu
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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 $e^{-2b(z)}$ compared to Estrada [24], we reach a new solution with a lot of interesting properties, where $b(z) = ln(1/\sqrt{cosh2μz})$. The non-local tensor $E_{ab}$ 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.

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Hristu Culetu. 2021-09-04. Regular Schwarzschild-like spacetime embedded in a five dimensional bulk. https://doi.org/10.1016/j.aop.2021.168582

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