Preprint Article Version 1 This version is not peer-reviewed

# Lukewarm Blackhole in a Nash-Greene Framework

Version 1 : Received: 7 March 2019 / Approved: 11 March 2019 / Online: 11 March 2019 (07:49:26 CET)

How to cite: Capistrano, A.J.S. Lukewarm Blackhole in a Nash-Greene Framework. Preprints 2019, 2019030112 (doi: 10.20944/preprints201903.0112.v1). Capistrano, A.J.S. Lukewarm Blackhole in a Nash-Greene Framework. Preprints 2019, 2019030112 (doi: 10.20944/preprints201903.0112.v1).

## Abstract

In this work, we investigate the embedding of a four-dimensional spherically symmetric metric in a six dimensional bulk. By using the Nash-Greene theorem, the additional $SO(2)$ symmetry of the two space-like extra-dimensions induces the appearance of horizons of a lukewarm charged black hole. Accordingly, an emerged mass-dependent cosmological constant is obtained with a prediction with a bound for the mass and minimal charge.

## Subject Areas

extra-dimensions; gravity; Cosmological constant; Black-holes