A new exact solution of black-strings-like with a dS core
Abstract
We provide a new five dimensional black string--like solution by means of the embedding of a four dimensional regular black hole into a compact extra dimension. We enunciate a list of constraints in order to that the five dimensional black string--like solution to be regular, and, following these constraints we construct our solution. Instead of the usual singularity, it is formed a core whose topology corresponds to the product between the de--Sitter core of the four dimensional Hayward solution and . The horizon has topology . At infinity of the radial coordinate the regular four dimensional geometry is asymptotically flat, {\it i.e}, at this place the topology of the complete solution corresponds to the product between Minkowski and . At the induced four dimensional geometry we compute the correct values of temperature and entropy.
Cite
@article{arxiv.2102.08222,
title = {A new exact solution of black-strings-like with a dS core},
author = {Milko Estrada},
journal= {arXiv preprint arXiv:2102.08222},
year = {2021}
}