Stealths on $(1+1)$-dimensional dilatonic gravity

TL;DR

This paper investigates gravitational stealth configurations involving scalar fields on a charged dilatonic (1+1)-dimensional black hole background, revealing unique solutions with no time dependence and potential transitions based on parameters.

Contribution

It introduces new stealth scalar field solutions in (1+1)-D dilatonic black holes, including a self-interacting potential with parameter-dependent transitions.

Findings

Stealth scalar fields do not depend on time.

Self-interacting potential exhibits transitions at specific parameters.

New solutions expand understanding of scalar fields in lower-dimensional gravity.

Abstract

We study gravitational stealth configurations emerging on a charged dilatonic $(1+1)$-D black hole spacetime. We accomplish this by considering the coupling of a non-minimally scalar field $\phi$ and a self-interacting scalar field $\Psi$ living in a $(1+1)$-D charged black hole background. In addition, the self-interacting potential for $\Psi$ is obtained which exhibits transitions for some specific values of the non-minimal parameter. Atypically, we found that the solutions for these stealth scalar fields do not have a dependence on the temporal coordinate.