On the Levi-Civita solutions with cosmological constant

Details On the Levi-Civita solutions with cosmological constant On the Levi-Civita solutions with cosmological constant

1999-11-03

arxiv.org/abs/gr-qc/9911013v1

Phys.Rev. D61 (2000) 044003

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Typed in Revtex, including two figures. To appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.61.044003

The main properties of the Levi-Civita solutions with the cosmological constant are studied. In particular, it is found that some of the solutions need to be extended beyond certain hypersurfaces in order to have geodesically complete spacetimes. Some extensions are considered and found to give rise to black hole structure but with plane symmetry. All the spacetimes that are not geodesically complete are Petrov type D, while in general the spacetimes are Petrov type I.

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