Magnetized Tolman-Bondi Collapse

Abstract

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.

arXiv comment6 pages, RevTex; v2: physical interpretation of the results slightly changed, references added, version accepted in Phys. Rev. D (2006)

References in corpus (4)

• A Gauge-invariant Analysis of Magnetic Fields in General Relativistic Cosmology
• Magnetized cosmological perturbations
• Strengths of singularities in spherical symmetry
• Collapse of a Magnetized Star to a Black Hole

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• Symmetries of the Large Scale Structures of the Universe as a Phenomenology of a Fractal Turbulence: The Role of the Plasma Component
• Role of a magnetic field in the context of inhomogeneous gravitational collapse
• Gravitational collapse and entropy of Black Holes with magnetic sources
• Torsional four-fermion interaction and the Raychaudhuri equation