Gravitational Lensing Effects of Fermion-Fermion Stars: I. Strong Field Case

Details Gravitational Lensing Effects of Fermion-Fermion Stars: I. Strong Field Case Gravitational Lensing Effects of Fermion-Fermion Stars: I. Strong Field Case

1999-07-08

arxiv.org/abs/gr-qc/9907035v1

Phys.Lett. A264 (2000) 335-340

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages, LaTex and PostScript; 4 figures, PostScript

Scientific paper

10.1016/S0375-9601(99)00830-0

We investigate a two-component model for gravitational lenses, i.e., the fermion-fermion star as a dark matter self-gravitating system made from two kinds of fermions with different masses. We calculate the deflection angles varying from arcseconds to even degrees. There is one Einstein ring. In particular, we find three radial critical curves for radial magnifications and four or five images of a point source. These are different from the case of the one-component model such as the fermion stars and boson stars. This is due to the fermion-fermion star being a two-component concentric sphere. Our results suggest that any possible observations of the number of images more than 3 could imply a polytropic distribution of the mass inside the lens in the universe.

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