Conformal Black Hole Solutions of Axi-Dilaton Gravity in D-dimensions

TL;DR

This paper derives static, spherically symmetric black hole solutions in axi-dilaton gravity across D dimensions, analyzing their charges, bounds, and a special scale-invariant family.

Contribution

It provides new explicit solutions in axi-dilaton gravity with arbitrary parameters, including a BPS bound and a scale-invariant black hole family.

Findings

Explicit black hole solutions in axi-dilaton gravity for arbitrary parameters

Determination of mass, dilaton, and axion charges

Existence of a one-parameter scale-invariant black hole family

Abstract

Static, spherically symmetric solutions of axi-dilaton gravity in $D$ dimensions is given in the Brans-Dicke frame for arbitrary values of the Brans-Dicke constant $\omega$ and an axion-dilaton coupling parameter $k$. The mass and the dilaton and axion charges are determined and a BPS bound is derived. There exists a one parameter family of black hole solutions in the scale invariant limit.