Non-Singular Solutions for S-branes

TL;DR

This paper constructs exact, non-singular, time-dependent s-brane solutions in Maxwell-Einstein gravity by double Wick rotating static black hole solutions, revealing new static solutions and potential links to string theory D-brane dynamics.

Contribution

It introduces a novel method to generate non-singular s-brane solutions from static black holes via double Wick rotation, including new static and dilatonic solutions.

Findings

Constructed exact non-singular s-brane solutions.

Discovered new static solutions with alternating-charge black hole arrays.

Linked s-brane solutions to D-brane creation and decay in string theory.

Abstract

Exact, non-singular, time-dependent solutions of Maxwell-Einstein gravity with and without dilatons are constructed by double Wick rotating a variety of static, axisymmetric solutions. This procedure transforms arrays of charged or neutral black holes into s-brane (spacelike brane) solutions, i.e. extended, short-lived spacelike defects. Along the way, new static solutions corresponding to arrays of alternating-charge Reissner-Nordstrom black holes, as well as their dilatonic generalizations, are found. Their double Wick rotation yields s-brane solutions which are periodic in imaginary time and potential large-N duals for the creation/decay of unstable D-branes in string theory.