S-branes from unbalanced black diholes

TL;DR

This paper constructs new non-singular, time-dependent S-brane solutions from unbalanced black diholes using double Wick rotation and analytic continuation, extending previous balanced cases and analyzing their properties.

Contribution

It introduces a novel method to generate S-brane solutions from unbalanced black diholes, broadening the class of known time-dependent solutions in gravity.

Findings

Solutions are non-singular and time-dependent.

In the balanced limit, solutions reduce to known S-branes.

The behavior of metric components and s-charge are analyzed.

Abstract

We construct new non-singular and time-dependent solutions from the black diholes with unbalanced magnetic charge. These solutions are constructed by the double Wick rotation with the analytic continuation of the mass or NUT-parameter of unbalanced black diholes. In the limit of balanced magnetic charge, our solutions reduce to the S-brane solution obtained from the black diholes discussed by Jones et al. . We study the behaviors of metric components and discuss the s-charge over a constant time-slice. From the properties of the solutions, we find that our solutions correspond to the S-brane type solutions.