Black Extended Objects, Naked Singularities and P-Branes

TL;DR

This paper models charged dilaton black extended objects as quantum entities, deriving constraints on spacetime dimensions and dilaton parameters through unitarity and tension positivity, revealing their transformation into p-branes at extremality.

Contribution

It introduces a p-brane-like action for black extended objects and establishes dimension and parameter restrictions based on quantum mechanical and tension positivity conditions.

Findings

The S matrix can be expressed via a p-brane-like action.

Unitarity and tension positivity restrict allowed spacetime dimensions.

Black objects become p-branes at extremal limits.

Abstract

We treat the horizons of charged, dilaton black extended objects as quantum mechanical objects. We show that the S matrix for such an object can be written in terms of a p-brane-like action. The requirements of unitarity of the S matrix and positivity of the p-brane tension equivalent severely restrict the number of space-time dimensions and the allowed values of the dilaton parameter a. Generally, black objects transform at the extremal limit into p-branes.