Peculiar anisotropic stationary spherically symmetric solution of Einstein equations

EMANUEL GALLO; OSVALDO M. MORESCHI

MODERN PHYSICS LETTERS A

WORLD SCIENTIFIC PUBL CO PTE LTD

Lugar: London, UK; Año: 2012 vol. 27 p. 1 - 7

0217-7323

Motivated by studies on gravitational lenses, we present an exat 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 efects. We show that the main aspects found in the dark matter phenomena can be satisfatorily 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.