Tolman-Bondi Space-Time in Brane World Scenario

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In the present work, inhomogeneous Tolman-Bondi type dust space-time is studied on the brane. There are two sets of solutions of the above model. The first solution represents either a collapsing model starting from an infinite volume at infinite past to the singularity or a model starting from a singularity and expanding for ever having a transition from decelerating phase to accelerating phase. The first solution shows that the end state of collapse may be black hole or a naked singularity depending signs of various parameters involved. The second solution represents a bouncing model where the bounce occurs at different comoving radii at different epochs.
6 Latex pages, RevTeX style, 3 figures

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General Relativity and Quantum Cosmology

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http://salesiana.dossiersoluciones.com/handle/123456789/108670

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/gr-qc/0602068
 http://arxiv.org/abs/gr-qc/0602068

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arXiv