Supergravity Solutions for Harmonic, Static and Flux S-Branes

TL;DR

This paper constructs explicit non-supersymmetric S-brane solutions in D=11 supergravity, revealing that the harmonic function must be linear and exploring static, fluxbrane, and hyperplane configurations with various causal structures.

Contribution

It provides new explicit solutions for static and flux S-branes in D=11 supergravity, including non-supersymmetric, asymptotically flat configurations with diverse causal properties.

Findings

Harmonic function H must be linear in transverse coordinates.

Constructed static S-brane solutions with smeared timelike directions.

Obtained spacelike fluxbrane backgrounds with timelike flux lines.

Abstract

We seek S-brane solutions in D=11 supergravity which can be characterized by a harmonic function H on the flat transverse space. It turns out that the Einstein's equations force H to be a linear function of the transverse coordinates. The codimension one H=0 hyperplane can be spacelike, timelike or null and the spacelike case reduces to the previously obtained SM2 or SM5 brane solutions. We then consider static S-brane configurations having smeared timelike directions where the transverse Lorentzian symmetry group is broken down to its maximal orthogonal subgroup. Assuming that the metric functions depend on a radial spatial coordinate, we construct explicit solutions in D=11 supergravity which are non-supersymmetric and asymptotically flat. Finally, we obtain spacelike fluxbrane backgrounds which have timelike electric or magnetic fluxlines extending from past to future infinity.