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Tolman-Bondi Space-Time in Brane World Scenario
General Relativity and Quantum Cosmology · Submitted 17 Feb 2006
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The first solution shows that the end state of collapse may be black hole or a naked singularity depending signs of various parameters involved.
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The abstract, sentence by sentence
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.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | In the present work, inhomogeneous Tolman-Bondi type dust space-time is studied on the brane. | contribution 0.99 | 0.89 | 0.04 | asserted 0.96 |
| s1 | There are two sets of solutions of the above model. | result 0.96 | 0.80 | 0.05 | asserted 1.00 |
| s2 | 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. | result 1.00 | 0.83 | 0.25 | asserted 0.90 |
| s3 | The first solution shows that the end state of collapse may be black hole or a naked singularity depending signs of various parameters involved. | result 0.80 | 0.84 | 0.26 | hedged possibility 0.93 |
| s4 | The second solution represents a bouncing model where the bounce occurs at different comoving radii at different epochs. | result 1.00 | 0.86 | 0.14 | asserted 1.00 |
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Original abstract
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.
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