Landau-Lifshitz Solutions of N=2, D=5 Supergravity

TL;DR

This paper explores specific solutions in five-dimensional N=2 supergravity theories, providing explicit metrics and examples, including the STU model, based on Jordan normal forms of matrices.

Contribution

It introduces four families of solutions valid for all space-time signatures, expanding the understanding of supergravity configurations and their explicit metric forms.

Findings

Four families of solutions depending on one coordinate are derived.

Explicit metrics are expressed in terms of Jordan normal forms.

Examples with three charges are provided for the STU model.

Abstract

We study families of solutions depending only on one coordinate for the theories of N=2,five-dimensional supergravity coupled to vector multiplets. Four families of solutions, valid for all space-time signatures, are obtained. The explicit metrics of the solutions depend on the Jordan normal forms of constrained matrices. Examples with three charges are given for the so-called STU model.