Peculiar anisotropic stationary spherically symmetric solution of Einstein equations

Details Peculiar anisotropic stationary spherically symmetric solution of Einstein equations Peculiar anisotropic stationary spherically symmetric solution of Einstein equations

2011-11-01

arxiv.org/abs/1111.0327v2

Mod. Phys.Lett. A 1250044 (2012)

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages, 5 figures. To appear in Modern Physics Letters A

Scientific paper

10.1142/S0217732312500447

Motivated by studies on gravitational lenses, we present an exact solution of the field equations of general relativity, which is static and spherically symmetric, has no mass but has a non-vanishing spacelike components of the stress-energy-momentum tensor. In spite of its strange nature, this solution provides with non-trivial descriptions of gravitational effects. We show that the main aspects found in the \emph{dark matter phenomena} can be satisfactorily described by this geometry. We comment on the relevance it could have to consider non-vanishing spacelike components of the stress-energy-momentum tensor ascribed to dark matter.

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