
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 -branes in spacetime dimension , that is, we look for solutions to Einstein-Maxwell-Dilaton gravity in -dimensions with boost symmetry in the -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 -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.
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