On Non-extremal Instantons and Black Holes

TL;DR

This paper develops a general framework for analyzing non-supersymmetric solutions like black holes, instantons, and branes across various dimensions and signatures, using quadratic forms involving gauge couplings and integration constants.

Contribution

It introduces a unified approach to study non-extremal solutions in arbitrary dimensions with a specific ansatz, encompassing diverse objects such as black holes and instantons.

Findings

Conditions on solutions expressed via quadratic forms.

Framework applicable to different metric signatures.

Potential to find a wide class of non-extremal solutions.

Abstract

We consider a general analysis and a specific ansatz for the study of non-supersymmetric solutions in arbitrary dimensions and various metric signatures. In all cases, we find that the conditions on the solutions can be written in terms of quadratic forms involving the gauge coupling of the theory and constants of integration associated with the scalar fields. Depending on the signature of the metric, our analysis should provide a general framework for finding non-extremal black holes, instantons, branes and S-branes.