Intersection Rules for Non-Extreme $p$-Branes

TL;DR

This paper derives general intersection rules for non-extreme p-branes in arbitrary dimensions using a model-independent approach, providing formulas for physical properties and comparing with supergravity results.

Contribution

It presents a novel, model-independent derivation of intersection rules for non-extreme p-branes in any dimension, extending previous supersymmetric results.

Findings

Derived intersection rules for non-extreme p-branes

Provided formulas for ADM mass, entropy, and temperature

Compared results with eleven-dimensional supergravity

Abstract

We give a model-independent derivation of general intersecting rules for non-extreme $p$-branes in arbitrary dimensions $D$. This is achieved by directly solving bosonic field equations for supergravity coupled to a dilaton and antisymmetric tensor fields with minimal ans\"{a}tze. We compare the results with those in eleven-dimensional supergravity. Supersymmetry is recovered in the extreme limit if the backgrounds are taken to be independent. Consistency with non-supersymmetric solutions is also discussed. Finally the general formulae for the ADM mass, entropy and Hawking temperature are given.