Self tuning scalar tensor black holes

TL;DR

This paper explores new analytic black hole solutions within scalar-tensor theories that can self-tune the cosmological constant, demonstrating the robustness of this mechanism through stability analysis.

Contribution

It introduces a method to find and analyze new black hole solutions with self-tuning properties in higher order Horndeski theories, expanding understanding of cosmological constant self-tuning.

Findings

New black hole solutions with de Sitter asymptotics discovered.

Self tuning mechanism remains stable under small deviations.

Neighboring solutions also exhibit self tuning with unchanged effective cosmological constant.

Abstract

Studying a certain sub class of higher order Horndeski (scalar-tensor) theories we discuss a method discovered recently permitting analytic black hole solutions with a non trivial and regular scalar field. One of the solutions found has de Sitter asymptotics and self tunes the bulk cosmological constant. Using the aforementioned method we find and analyse new black hole solutions which can also have de Sitter asymptotics. By looking at small deviations of the integration constant responsible for self tuning we discuss the robustness of the self tuning mechanism. We find that neighboring solutions to the one previously found present also self tuning properties with unaltered effective cosmological constant.