English

A new exact solution of black-strings-like with a dS core

General Relativity and Quantum Cosmology 2021-02-17 v1

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 S1S^1. The horizon has topology S2×S1S^2 \times S^1. 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 S1S^1. At the induced four dimensional geometry we compute the correct values of temperature and entropy.

Keywords

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}
}
R2 v1 2026-06-23T23:12:53.690Z