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The Entropy of Taub-Bolt Solution
General Relativity and Quantum Cosmology · Submitted 29 Jun 1999
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We show here that this is not true.
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The abstract, sentence by sentence
A geometrical framework for the definition of entropy in General Relativity via Noether theorem is briefly recalled and the entropy of Taub-Bolt Euclidean solutions of Einstein equations is then obtained as an application. The computed entropy agrees with previously known results, obtained by statistical methods. It was generally believed that the entropy of Taub-Bolt solution could not be computed via Noether theorem, due to the particular structure of singularities of this solution. We show here that this is not true. The Misner string singularity is, in fact, considered and its contribution to the entropy is analyzed. As a result, in our framework entropy does not obey the "one-quarter area law" and it is not directly related to horizons, as sometimes erroneously suggested in current literature on the subject.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | A geometrical framework for the definition of entropy in General Relativity via Noether theorem is briefly recalled and the entropy of Taub-Bolt Euclidean solutions of Einstein equations is then obtained as an application. | contribution 0.81 | 0.81 | 0.16 | asserted 1.00 |
| s1 | The computed entropy agrees with previously known results, obtained by statistical methods. | result 0.96 | 0.77 | 0.12 | asserted 1.00 |
| s2 | It was generally believed that the entropy of Taub-Bolt solution could not be computed via Noether theorem, due to the particular structure of singularities of this solution. | background 0.63 | 0.04 | 0.05 | hedged possibility 0.51 |
| s3 | We show here that this is not true. | contribution 0.58 | 0.67 | 0.44 | asserted 1.00 |
| s4 | The Misner string singularity is, in fact, considered and its contribution to the entropy is analyzed. | contribution 0.56 | 0.93 | 0.08 | asserted 1.00 |
| s5 | As a result, in our framework entropy does not obey the "one-quarter area law" and it is not directly related to horizons, as sometimes erroneously suggested in current literature on the subject. | interpretation 0.72 | 0.89 | 0.55 | asserted 1.00 |
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The paper
Original abstract
A geometrical framework for the definition of entropy in General Relativity via Noether theorem is briefly recalled and the entropy of Taub-Bolt Euclidean solutions of Einstein equations is then obtained as an application. The computed entropy agrees with previously known results, obtained by statistical methods. It was generally believed that the entropy of Taub-Bolt solution could not be computed via Noether theorem, due to the particular structure of singularities of this solution. We show here that this is not true. The Misner string singularity is, in fact, considered and its contribution to the entropy is analyzed. As a result, in our framework entropy does not obey the "one-quarter area law" and it is not directly related to horizons, as sometimes erroneously suggested in current literature on the subject.
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References
How the literature uses it
4 arXiv papers cite this in 4 sentences
Papers citing it · 2 sentences without a confident label
Uses its method or tool 1 paper
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In [ref] , the authors introduced a framework for conserved quantities where one can compute the conserved quantity relative to a reference configuration, without relying on asymptotic flatness; this approach solves anomalous factors in many standard cases (see [ref] ), maintains general covariance, and is independent of addition of divergences to the action.
Conformal gravity: light deflection revisited and the galactic rotation curve failure · Symmetries, Superpotential, and Conserved Quantities · 0.88
Cites it as background 1 paper
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Much of the earlier work was concerned with the Euclidean solution due to adherence to the periodicity condition [ref] .
Kerr-NUT Thermodynamics: Misner Strings and Nut Charges · Introduction · 0.90
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