Class of Einstein-Maxwell-Dilaton-Axion Space-Times
Tonatiuh Matos, Galaxia Miranda, Ruben Sanchez-Sanchez, Petra, Wiederhold
TL;DR
This paper employs harmonic maps ansatz to derive exact solutions of Einstein-Maxwell-Dilaton-Axion equations, including generalizations of Schwarzschild spacetime with additional fields, revealing symmetries related to the symplectic group.
Contribution
It introduces a novel application of harmonic maps ansatz to find explicit solutions of EMDA equations invariant under symplectic symmetry groups.
Findings
Derived exact solutions for EMDA equations using harmonic maps.
Found solutions generalizing Schwarzschild spacetime with additional fields.
Illustrated the method with solutions invariant under symplectic subgroups.
Abstract
We use the harmonic maps ansatz to find exact solutions of the Einstein-Maxwell-Dilaton-Axion (EMDA) equations. The solutions are harmonic maps invariant to the symplectic real group in four dimensions . We find solutions of the EMDA field equations for the one and two dimensional subspaces of the symplectic group. Specially, for illustration of the method, we find space-times that generalise the Schwarzschild solution with dilaton, axion and electromagnetic fields.
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