Two-Dimensional Reduced Theory and General Static Solution for Uncharged Black p-Branes

TL;DR

This paper derives a two-dimensional effective theory for uncharged black p-branes, demonstrating its integrability and providing the general static solution, which encompasses known boost symmetric solutions.

Contribution

It introduces a new integrable two-dimensional model for black p-branes and derives their general static solutions, extending previous specific cases.

Findings

Effective 2D dilaton-gravity-matter action derived

The theory is completely integrable in the static sector

General static solutions including boost symmetric cases obtained

Abstract

We derive a two-dimensional effective dilaton - gravity - matter action that describes the dynamics of an uncharged black p-brane in N dimensions. We show that this effective theory is completely integrable in the static sector and establish its general static solution. The solution includes, as a particular case, the boost symmetric p-brane solution investigated in hep-th/9510202 .