Weyl Card Diagrams and New S-brane Solutions of Gravity

TL;DR

This paper introduces Weyl card diagrams for visualizing the global structure of Weyl spacetimes and presents new S-brane solutions with features like near horizon limits and decay of unstable objects.

Contribution

It develops a novel diagrammatic method for Weyl spacetimes and systematically constructs new time-dependent S-brane solutions with unique properties.

Findings

Weyl card diagrams effectively depict spacetime structures.

New S-brane solutions include S-dihole universes and multi-rod configurations.

Solutions exhibit near horizon scaling and decay phenomena.

Abstract

We construct a new card diagram which accurately draws Weyl spacetimes and represents their global spacetime structure, singularities, horizons and null infinity. As examples we systematically discuss properties of a variety of solutions including black holes as well as recent and new time-dependent gravity solutions which fall under the S-brane class. The new time-dependent Weyl solutions include S-dihole universes, infinite arrays and complexified multi-rod solutions. Among the interesting features of these new solutions is that they have near horizon scaling limits and describe the decay of unstable objects.