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Static and Infalling Quasilocal Energy of Charged and Naked Black Holes

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I.S. Booth, R.B. Mann

General Relativity and Quantum Cosmology · Submitted 22 Jul 1999

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim Finally the study of naked black holes reveals an alternate characterization of this class of spacetimes in terms of the quasilocal energies.

how it is stated · asserted 0.99 read the record →

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arXiv IDgr-qc/9907072 (version 1)
Pith IDX54V4ZAD, Pith's permanent record of this paper and its review
CitationI.S. Booth, R.B. Mann. "Static and Infalling Quasilocal Energy of Charged and Naked Black Holes." arXiv:gr-qc/9907072 (1999). https://pith.science/paper/X54V4ZAD
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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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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 6,830 input tokens, $0.0003 reported.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.96 · human participants 0.01 · controlled comparison 0.04 · randomized assignment 0.01 · states quantitative result 0.06 · compares with prior results 0.55 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

We extend the quasilocal formalism of Brown and York to include electromagnetic and dilaton fields and also allow for spatial boundaries that are not orthogonal to the foliation of the spacetime. The extension allows us to study the quasilocal energy measured by observers who are moving around in a spacetime. We show that the quasilocal energy transforms with respect to boosts by Lorentz-type transformation laws. The resulting formalism can be used to study spacetimes containing electric or magnetic charge but not both, a restriction inherent in the formalism. The gauge dependence of the quasilocal energy is discussed. We use the thin shell formalism of Israel to reinterpret the quasilocal energy from an operational point of view and examine the implications for the recently proposed AdS/CFT inspired intrinsic reference terms. The distribution of energy around Reissner-Nordstr\"{o}m and naked black holes is investigated as measured by both static and infalling observers. We see that this proposed distribution matches a Newtonian intuition in the appropriate limit. Finally the study of naked black holes reveals an alternate characterization of this class of spacetimes in terms of the quasilocal energies.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 We extend the quasilocal formalism of Brown and York to include electromagnetic and dilaton fields and also allow for spatial boundaries that are not orthogonal to the foliation of the spacetime. contribution 0.84 0.93 0.05 asserted 1.00
s1 The extension allows us to study the quasilocal energy measured by observers who are moving around in a spacetime. contribution 0.66 0.63 0.07 asserted 0.86
s2 We show that the quasilocal energy transforms with respect to boosts by Lorentz-type transformation laws. result 0.98 0.92 0.14 asserted 1.00
s3 The resulting formalism can be used to study spacetimes containing electric or magnetic charge but not both, a restriction inherent in the formalism. limitation 1.00 0.45 0.07 asserted 1.00
s4 The gauge dependence of the quasilocal energy is discussed. contribution 0.91 0.66 0.03 unclear 0.57
s5 We use the thin shell formalism of Israel to reinterpret the quasilocal energy from an operational point of view and examine the implications for the recently proposed AdS/CFT inspired intrinsic reference terms. method 0.74 0.91 0.07 asserted 0.99
s6 The distribution of energy around Reissner-Nordstr\"{o}m and naked black holes is investigated as measured by both static and infalling observers. contribution 0.96 0.91 0.12 asserted 0.94
s7 We see that this proposed distribution matches a Newtonian intuition in the appropriate limit. interpretation 0.51 0.90 0.13 asserted 0.97
s8 Finally the study of naked black holes reveals an alternate characterization of this class of spacetimes in terms of the quasilocal energies. result 0.68 0.93 0.32 asserted 0.99

What kind of paper the classifier reports this is: method or tool 0.61 · evidence from proof or derivation 1.00.

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  • figures and tables
  • references and citing sentences
  • relations to other papers
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  • P abstract
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  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

We extend the quasilocal formalism of Brown and York to include electromagnetic and dilaton fields and also allow for spatial boundaries that are not orthogonal to the foliation of the spacetime. The extension allows us to study the quasilocal energy measured by observers who are moving around in a spacetime. We show that the quasilocal energy transforms with respect to boosts by Lorentz-type transformation laws. The resulting formalism can be used to study spacetimes containing electric or magnetic charge but not both, a restriction inherent in the formalism. The gauge dependence of the quasilocal energy is discussed. We use the thin shell formalism of Israel to reinterpret the quasilocal energy from an operational point of view and examine the implications for the recently proposed AdS/CFT inspired intrinsic reference terms. The distribution of energy around Reissner-Nordstr\"{o}m and naked black holes is investigated as measured by both static and infalling observers. We see that this proposed distribution matches a Newtonian intuition in the appropriate limit. Finally the study of naked black holes reveals an alternate characterization of this class of spacetimes in terms of the quasilocal energies.

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Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers whose main result relates to this one's

Found among the papers closest to this one by title and main claim. Pith's classifier compared each pair's main results and a second model family confirmed the relation; checked against two further families, shown conflicts agreed 118 times in 120 and shown same results 218 times in 239. The quoted sentence is the other paper's main claim.

States the same result 1 paper
  • As a natural application of this work we investigate the naked black holes of Horowitz and Ross calculating the quasilocal energies measured by static versus infalling observers.

    Quasilocal energy and naked black holes · 0.82

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