Cosmic p-branes

TL;DR

This paper explores solutions for cosmic p-branes in higher-dimensional Einstein-Maxwell-Dilaton gravity, analyzing their singularities, reductions, and charged configurations to advance understanding of their geometric and physical properties.

Contribution

It derives general uncharged p-brane solutions in arbitrary dimensions and extends to charged and self-dual branes with various dilaton couplings.

Findings

Uncharged 5D cosmic string solutions have naked singularities.

Singularities can be avoided with specific core models.

Charged and self-dual brane solutions are explicitly constructed.

Abstract

We consider the metrics for cosmic strings and $p$-branes in spacetime dimension $N>4$, that is, we look for solutions to Einstein-Maxwell-Dilaton gravity in $N$-dimensions with boost symmetry in the $p$-directions along the brane. Focussing first in detail on the five dimensional uncharged cosmic string we discuss the solution, which turns out to have a naked singularity on the brane, as well as considering its Kaluza-Klein reduction. We show how singularities may be avoided with particular core models. We then derive the general uncharged $p$-brane solution in arbitrary dimension. Finally, we consider an Einstein-Maxwell-Dilaton action, with arbitrary value of the dilaton coupling parameter, deriving the solutions for electrically and magnetically charged branes, as well as a class of self-dual branes.