Higher-dimensional Buchdahl and Janis-Robinson-Winicour transformations in the Einstein-Maxwell system with a massless scalar field
General Relativity and Quantum Cosmology
2021-11-02 v2 High Energy Physics - Theory
Abstract
We present higher-dimensional generalizations of the Buchdahl and Janis-Robinson-Winicour transformations which generate static solutions in the Einstein-Maxwell system with a massless scalar field. While the former adds a nontrivial scalar field to a vacuum solution, the latter generates a charged solution from a neutral one with the same scalar field. Applying these transformations to (i) a static solution with an Einstein base manifold, (ii) a multi-center solution, and (iii) a four-dimensional cylindrically symmetric solution, we construct several new exact solutions.
Keywords
Cite
@article{arxiv.1904.01658,
title = {Higher-dimensional Buchdahl and Janis-Robinson-Winicour transformations in the Einstein-Maxwell system with a massless scalar field},
author = {Hideki Maeda and Cristian Martinez},
journal= {arXiv preprint arXiv:1904.01658},
year = {2021}
}
Comments
21 pages, no figure; v2, extended version, title changed to be more specific, four-dimensional cylindrically symmetric solutions added