Non-Extreme Black Holes from Intersecting M-Branes

TL;DR

This paper explores extending intersecting M-brane black hole solutions to include two non-extreme parameters, revealing dimensional constraints and conditions under which horizons vanish or are preserved.

Contribution

It provides a general analysis reducing complex field equations to algebraic form, demonstrating the possibility of two-parameter solutions in 4 and 5 dimensions, and identifying cases with horizon area behavior.

Findings

Two-parameter solutions exist in D=4,5 dimensions.

Horizon area vanishes in the extreme limit for D≥6, except in special cases.

The analysis simplifies solving field equations for static spherically symmetric cases.

Abstract

We investigate the possibility of extending non-extreme black hole solutions made of intersecting M-branes to those with two non-extreme deformation parameters, similar to Reissner-Nordstr{\o}m solutions. General analysis of possible solutions is carried out to reduce the problem of solving field equations to a simple algebraic one for static spherically-symmetric case in $D$ dimensions. The results are used to show that the extension to two-parameter solutions is possible for $D=4,5$ dimensions but not for higher dimensions, and that the area of horizon always vanishes in the extreme limit for black hole solutions for $D \geq 6$ except for two very special cases which are identified. Various solutions are also summarized.