Gravitational lens optical scalars in terms of energy-momentum distributions

Details Gravitational lens optical scalars in terms of energy-momentum distributions Gravitational lens optical scalars in terms of energy-momentum distributions

2011-02-18

arxiv.org/abs/1102.3886v3

Phys.Rev.D83:083007,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 pages, 2 figures. Titled changed. Small improvements. References added. Final version published in Phys.Rev.D

Scientific paper

10.1103/PhysRevD.83.083007

This is a general work on gravitational lensing. We present new expressions for the optical scalars and the deflection angle in terms of the energy-momentum tensor components of matter distributions. Our work generalizes standard references in the literature where normally stringent assumptions are made on the sources. The new expressions are manifestly gauge invariant, since they are presented in terms of curvature components. We also present a method of approximation for solving the lens equations, that can be applied to any order.

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