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Gravitational Collapse in Constant Potential Bath
General Relativity and Quantum Cosmology · Submitted 31 Oct 2000
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Both naked singularities and black holes are shown to be developing as the final outcome of the collapse.
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The abstract, sentence by sentence
We analyse here the gravitational collapse of directed null radiation in a background with a constant potential such as one produced by a star system like galaxy in which the collapsing object is immersed. Both naked singularities and black holes are shown to be developing as the final outcome of the collapse. An interesting feature that emerges is that a part of the naked singularity spectrum in collapsing Vaidya region gets covered in the corresponding dual-Vaidya region, which corresponds to the Vaidya directed null radiation sitting in constant potential bath. The implications of such a result towards the issue of stability of naked singularities are discussed.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We analyse here the gravitational collapse of directed null radiation in a background with a constant potential such as one produced by a star system like galaxy in which the collapsing object is immersed. | contribution 0.94 | 0.77 | 0.05 | asserted 0.85 |
| s1 | Both naked singularities and black holes are shown to be developing as the final outcome of the collapse. | result 1.00 | 0.91 | 0.61 | asserted 1.00 |
| s2 | An interesting feature that emerges is that a part of the naked singularity spectrum in collapsing Vaidya region gets covered in the corresponding dual-Vaidya region, which corresponds to the Vaidya directed null radiation sitting in constant potential bath. | result 1.00 | 0.88 | 0.22 | asserted 1.00 |
| s3 | The implications of such a result towards the issue of stability of naked singularities are discussed. | interpretation 1.00 | 0.54 | 0.06 | unclear 0.78 |
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The paper
Original abstract
We analyse here the gravitational collapse of directed null radiation in a background with a constant potential such as one produced by a star system like galaxy in which the collapsing object is immersed. Both naked singularities and black holes are shown to be developing as the final outcome of the collapse. An interesting feature that emerges is that a part of the naked singularity spectrum in collapsing Vaidya region gets covered in the corresponding dual-Vaidya region, which corresponds to the Vaidya directed null radiation sitting in constant potential bath. The implications of such a result towards the issue of stability of naked singularities are discussed.
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