Magnetized Tolman-Bondi Collapse

Details Magnetized Tolman-Bondi Collapse Magnetized Tolman-Bondi Collapse

2005-11-27

arxiv.org/abs/gr-qc/0511144v2

Phys.Rev. D73 (2006) 064010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages, RevTex; v2: physical interpretation of the results slightly changed, references added, version accepted in Phys. Rev.

Scientific paper

10.1103/PhysRevD.73.064010

We investigate the gravitational implosion of magnetized matter by studying the inhomogeneous collapse of a weakly magnetized Tolman-Bondi spacetime. The role of the field is analyzed by looking at the convergence of neighboring particle worldlines. In particular, we identify the magnetically related stresses in the Raychaudhuri equation and use the Tolman-Bondi metric to evaluate their impact on the collapsing dust. We find that, despite the low energy level of the field, the Lorentz force dominates the advanced stages of the collapse, leading to a strongly anisotropic contraction. In addition, of all the magnetic stresses, those that resist the collapse are found to grow faster.

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