Class of Einstein-Maxwell-Dilaton-Axion Space-Times

Tonatiuh Matos; Galaxia Miranda; Ruben Sanchez-Sanchez; Petra Wiederhold

doi:10.1103/PhysRevD.79.124016

Class of Einstein-Maxwell-Dilaton-Axion Space-Times

General Relativity and Quantum Cosmology 2010-04-30 v1

Authors: Tonatiuh Matos , Galaxia Miranda , Ruben Sanchez-Sanchez , Petra Wiederhold

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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 $Sp(4,\Rreal)\sim O(5)$ . 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.

Keywords

general relativity static spherically symmetric solutions in general relativity painlevé equations and orthogonal polynomials

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@article{arxiv.0905.4097,
  title  = {Class of Einstein-Maxwell-Dilaton-Axion Space-Times},
  author = {Tonatiuh Matos and Galaxia Miranda and Ruben Sanchez-Sanchez and Petra Wiederhold},
  journal= {arXiv preprint arXiv:0905.4097},
  year   = {2010}
}

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12 pages, 2 figures 1 appendix

Class of Einstein-Maxwell-Dilaton-Axion Space-Times

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