Metrics Depending on One Variable in D-Dimensional Einstein-Dilaton-Gauge Theories

Abstract

This thesis investigates one-variable solutions in D-dimensional Einstein-Dilaton-Gauge theories, which are gravitational theories with anti-symmetric tensors and a coupled dilaton field. We focus on finding exact solutions to Einstein’s field equations with and without matter fields. Vacuum solutions are derived systematically in synchronous coordinates for arbitrary spacetime signature and dimensions. These results are extended to incorporate gauge and dilaton fields, producing families of solutions within Einstein-Dilaton-Gauge theories. We identify novel generalizations of the Kasner metric and related solutions, that reduce to vacuum solutions with ω=√g=τ or ω=1. Finally, example solutions are provided in the bosonic sector of various supergravity theories.