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Naked Singularity and Thunderbolt
General Relativity and Quantum Cosmology · Submitted 15 Jul 2002
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The thunderbolt possibly destroys the Cauchy horizon if its backreaction on the geometry is taken into account, leading to quantum restoration of the global hyperbolicity.
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The abstract, sentence by sentence
We consider quantum theoretical effects of the sudden change of the boundary conditions which mimics the occurrence of naked singularities. For a simple demonstration, we study a massless scalar field in $(1 + 1)$-dimensional Minkowski spacetime with finite spatial interval. We calculate the vacuum expectation value of the energy-momentum tensor and explicitly show that singular wave or {\em thunderbolt} appears along the Cauchy horizon. The thunderbolt possibly destroys the Cauchy horizon if its backreaction on the geometry is taken into account, leading to quantum restoration of the global hyperbolicity. The result of the present work may also apply to the situation that a closed string freely oscillating is traveling to a brane and changes itself to an open string pinned-down by the ends satisfying the Dirichlet boundary conditions on the brane.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We consider quantum theoretical effects of the sudden change of the boundary conditions which mimics the occurrence of naked singularities. | contribution 0.93 | 0.70 | 0.05 | asserted 0.63 |
| s1 | For a simple demonstration, we study a massless scalar field in $(1 + 1)$-dimensional Minkowski spacetime with finite spatial interval. | method 0.93 | 0.79 | 0.02 | asserted 0.89 |
| s2 | We calculate the vacuum expectation value of the energy-momentum tensor and explicitly show that singular wave or {\em thunderbolt} appears along the Cauchy horizon. | result 0.98 | 0.96 | 0.48 | asserted 1.00 |
| s3 | The thunderbolt possibly destroys the Cauchy horizon if its backreaction on the geometry is taken into account, leading to quantum restoration of the global hyperbolicity. | interpretation 0.99 | 0.51 | 0.66 | hedged possibility 1.00 |
| s4 | The result of the present work may also apply to the situation that a closed string freely oscillating is traveling to a brane and changes itself to an open string pinned-down by the ends satisfying the Dirichlet boundary conditions on the brane. | interpretation 0.83 | 0.25 | 0.05 | hedged possibility 1.00 |
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The paper
Original abstract
We consider quantum theoretical effects of the sudden change of the boundary conditions which mimics the occurrence of naked singularities. For a simple demonstration, we study a massless scalar field in $(1 + 1)$-dimensional Minkowski spacetime with finite spatial interval. We calculate the vacuum expectation value of the energy-momentum tensor and explicitly show that singular wave or {\em thunderbolt} appears along the Cauchy horizon. The thunderbolt possibly destroys the Cauchy horizon if its backreaction on the geometry is taken into account, leading to quantum restoration of the global hyperbolicity. The result of the present work may also apply to the situation that a closed string freely oscillating is traveling to a brane and changes itself to an open string pinned-down by the ends satisfying the Dirichlet boundary conditions on the brane.
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How the literature uses it
4 arXiv papers cite this in 6 sentences
Papers citing it · 4 sentences without a confident label
Compares with it 1 paper
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As discussed in Sec. [ref], this is a null singularity somehow similar to the thunderbolt singularities discussed in the literature [ref] .
New time-dependent solutions of viable Horndeski gravity · Choice $f(r)= -r^2$ · 0.85
Cites it as background 1 paper
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The $1+1$ trousers spacetime provides a simple model for studying the effects of topology change on quantum fields and in quantum gravity [ref] .
Singularity at the demise of a black hole · Introduction · 0.93
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