Asymptotically de Sitter and anti-de Sitter Black Holes with Confining Electric Potential

TL;DR

This paper introduces new black hole solutions in gravity coupled with a nonlinear gauge field that produces confinement-like potentials, a dynamically generated cosmological constant, and a constant electric field component.

Contribution

It presents novel static spherically symmetric black hole solutions with confining potentials and dynamical cosmological constant generation in a QCD-inspired gauge field framework.

Findings

Existence of black holes with a constant radial electric field.

Dynamical generation of cosmological constant from gauge field dynamics.

Presence of confining-type potential affecting charged test particles.

Abstract

We study gravity interacting with a special kind of QCD-inspired nonlinear gauge field system which earlier was shown to yield confinement-type effective potential (the "Cornell potential") between charged fermions ("quarks") in flat space-time. We find new static spherically symmetric solutions generalizing the usual Reissner-Nordstroem-de-Sitter and Reissner-Nordstroem-anti-de-Sitter black holes with the following additional properties: (i) appearance of a constant radial electric field (in addition to the Coulomb one); (ii) novel mechanism of {\em dynamical generation} of cosmological constant through the non-Maxwell gauge field dynamics; (iii) appearance of confining-type effective potential in charged test particle dynamics in the above black hole backgrounds.