Non-extreme black holes from non-extreme intersecting M-branes

TL;DR

This paper constructs non-extreme intersecting M-brane solutions in eleven-dimensional supergravity that reduce to various non-extreme black holes in dimensions 4 to 9, detailing their configurations, masses, and entropies.

Contribution

It introduces new non-extreme intersecting M-brane solutions that generalize previous models and connect them to lower-dimensional black holes with explicit charge and entropy descriptions.

Findings

Derived explicit solutions for non-extreme intersecting M-branes.

Connected M-brane configurations to black holes in dimensions 4 to 9.

Provided formulas for masses and entropies of the black holes.

Abstract

We present non-extreme generalisations of intersecting p-brane solutions of eleven-dimensional supergravity which upon toroidal compactification reduce to non-extreme static black holes in dimensions D=4, D=5 and 5<D<10, parameterized by four, three and two charges, respectively. The D=4 black holes are obtained either from non-extreme configuration of three intersecting five-branes with a boost along the common string or from non-extreme intersecting system of two two-branes and two five-branes. The D=5 black holes arise from three intersecting two-branes or from a system of intersecting two-brane and five-brane with a boost along the common string. Five-brane and two-brane with a boost along one direction reduce to black holes in D=6 and D=9, respectively, while D=7 black hole can be interpreted in terms of non-extreme configuration of two intersecting two-branes. We discuss the expressions for the corresponding masses and entropies.