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$<\phi^2>$ in the Spacetime of a Cylindrical Black Hole
General Relativity and Quantum Cosmology · Submitted 13 Apr 1998
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim It is found that the field is divergence free throughout the spacetime and attains its maximum value near the horizon.
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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
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The abstract, sentence by sentence
The renormalised value of $<\phi^2>$ is calculated for a massless, conformally coupled scalar field in the Hartle-Hawking vacuum state. This calculation is a first step towards the calculation of the gravitational back reaction of the field in a black cosmic string spacetime which is asymptotically anti-DeSitter and possesses a non constant dilaton field. It is found that the field is divergence free throughout the spacetime and attains its maximum value near the horizon.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The renormalised value of $<\phi^2>$ is calculated for a massless, conformally coupled scalar field in the Hartle-Hawking vacuum state. | contribution 0.96 | 0.92 | 0.08 | asserted 1.00 |
| s1 | This calculation is a first step towards the calculation of the gravitational back reaction of the field in a black cosmic string spacetime which is asymptotically anti-DeSitter and possesses a non constant dilaton field. | future work 0.95 | 0.40 | 0.06 | asserted 0.95 |
| s2 | It is found that the field is divergence free throughout the spacetime and attains its maximum value near the horizon. | result 1.00 | 0.94 | 0.80 | asserted 1.00 |
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The paper
Original abstract
The renormalised value of $<\phi^2>$ is calculated for a massless, conformally coupled scalar field in the Hartle-Hawking vacuum state. This calculation is a first step towards the calculation of the gravitational back reaction of the field in a black cosmic string spacetime which is asymptotically anti-DeSitter and possesses a non constant dilaton field. It is found that the field is divergence free throughout the spacetime and attains its maximum value near the horizon.
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References
How the literature uses it
4 arXiv papers cite this in 4 sentences
Papers citing it · 1 sentence without a confident label
Cites it as background 3 papers
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The vacuum polarization has been computed on a wide variety of black hole space-times in four dimensions [ref] .
Vacuum polarization on the brane · Introduction · 0.94
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There has also been more limited work on alternative approaches for nonspherically symmetric black hole space-times for which the AHS method is not applicable [ref] .
Vacuum polarization on topological black holes with Robin boundary conditions · Introduction · 0.87
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While the renormalised vacuum polarization has been computed for a variety of black hole spacetimes in four dimensions, see for example [ref] , there has been comparatively little work carried out in higher dimensional black hole spacetimes.
A Mode-Sum Prescription for Vacuum Polarization in Odd Dimensions · Introduction · 0.86
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