Time and "angular" dependent backgrounds from stationary axisymmetric solutions

TL;DR

This paper explores time and angular dependent backgrounds derived from stationary axisymmetric solutions, focusing on Gowdy models and their potential relation to generalized S-branes with both temporal and angular dependencies.

Contribution

It introduces a method to generate time and angular dependent backgrounds from axisymmetric solutions and discusses their possible interpretation as generalized S-branes.

Findings

Constructed Gowdy models with time and angular dependence

Proposed analytic continuation of known solutions to generate new backgrounds

Outlined potential for these models to represent generalized S-branes

Abstract

Backgrounds depending on time and on "angular" variable, namely polarized and unpolarized $S^1 \times S^2$ Gowdy models, are generated as the sector inside the horizons of the manifold corresponding to axisymmetric solutions. As is known, an analytical continuation of ordinary $D$-branes, $iD$-branes allows one to find $S$-brane solutions. Simple models have been constructed by means of analytic continuation of the Schwarzchild and the Kerr metrics. The possibility of studying the $i$-Gowdy models obtained here is outlined with an eye toward seeing if they could represent some kind of generalized $S$-branes depending not only on time but also on an ``angular'' variable.