Intersecting electric and magnetic p-branes: spherically symmetric solutions

TL;DR

This paper explores spherically symmetric solutions in higher-dimensional gravity with intersecting p-branes, revealing conditions for black hole solutions and their thermodynamic properties, including temperature behavior in extremal limits.

Contribution

It derives new static solutions for intersecting p-branes with specific intersection rules and analyzes their black hole and thermodynamic properties.

Findings

Black hole solutions with various extremal temperature limits.

Selection rules restrict p-brane configurations in multiple time theories.

A no-hair theorem for black holes with quasiscalar F-field components.

Abstract

We consider a D-dimensional self-gravitating spherically symmetric configuration of a generalized electro-magnetic n-form F and a dilatonic scalar field, admitting an interpretation in terms of intersecting p-branes. For theories with multiple times, selection rules are obtained, which obstruct the existence of p-branes in certain subspaces. General static solutions are obtained under a specific restriction on the model parameters, which corresponds to the known "intersection rules". More special families of solutions (with equal charges for some of the F-field components) are found with weakened restrictions on the input parameters. Black-hole solutions are determined, and it is shown that in the extreme limit the Hawking temperature may tend to zero, a finite value, or infinity, depending on the p-brane intersection dimension. A kind of no-hair theorem is obtained, claiming that black holes cannot coexist with a quasiscalar component of the F-field.