Gravitational lens optical scalars in terms of energy-momentum distributions

GALLO EMANUEL; MORESCHI OSVALDO

PHYSICAL REVIEW D - PARTICLE AND FILDS

APS- American Physical Society

Año: 2011 vol. 83 p. 830071 - 8300716

0556-2821

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.