Construction of Sources for Majumdar-Papapetrou Spacetimes

Details Construction of Sources for Majumdar-Papapetrou Spacetimes Construction of Sources for Majumdar-Papapetrou Spacetimes

2002-01-22

arxiv.org/abs/gr-qc/0201073v1

Gen.Rel.Grav. 35 (2003) 1815-1831

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, LaTeX

Scientific paper

We study Majumdar-Papapetrou solutions for the 3+1 Einstein-Maxwell equations, with charged dust acting as the external source for the fields. The spherically symmetric solution of G\"{u}rses is considered in detail. We introduce new parameters that simplify the construction of class $C^1$, singularity-free geometries. The arising sources are bounded or unbounded, and the redshift of light signals allows an observer at spatial infinity to distinguish these cases. We find out an interesting affinity between the conformastatic metric and some homothetic, matter and Ricci collineations. The associated non-Noetherian symmetries provide us with distinctive solutions that can be used to construct non-singular sources for Majumdar-Papapetrou spacetimes.}

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