Black Brane World from Gravitating Half $\sigma$-lump

TL;DR

This paper introduces a new global defect solution in a higher-dimensional nonlinear sigma model, leading to the formation of a black brane with a cigar-shaped near-horizon geometry in curved spacetime.

Contribution

It presents a novel half-integer winding sigma-lump solution and explores its role in generating black brane configurations with unique horizon structures.

Findings

Discovery of a half-integer winding sigma-lump with divergent energy.

Formation of a black sigma p-brane with a cigar-type near-horizon geometry.

Identification of the warp geometry in the near-horizon limit.

Abstract

We study O($N+1$) nonlinear $\sigma$-model in $(p+1+N)$-dimensional curved spacetime with negative cosmological constant, and find a new $\sigma$-lump solution with half-integer winding and divergent energy. When the spatial structure of $N$ extra-dimensions is determined by this global defect, a black $\sigma p$-brane surrounded by the degenerated horizon is formed and its near-horizon geometry is identified as a warp geometry of cigar type.