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A concrete anti-de Sitter black hole with dynamical horizon having toroidal cross-sections and its characteristics

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Pouria Dadras, J. T. Firouzjaee, Reza Mansouri

General Relativity and Quantum Cosmology · Submitted 16 Jul 2012

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

The authors' main claim The concrete model enables us to study for the first time dynamical horizons with toroidal topology, its area law, and the question of matter flux inside the horizon, without using a cut-and-paste technology to construct the solution.

how it is stated · asserted 0.98 read the record →

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arXiv ID1207.3673 (version 2)
Pith IDTDHJ6LAD, Pith's permanent record of this paper and its review
CitationJ. T. Firouzjaee, Pouria Dadras, Reza Mansouri. "A concrete anti-de Sitter black hole with dynamical horizon having toroidal cross-sections and its characteristics." arXiv:1207.3673 (2012). https://pith.science/paper/TDHJ6LAD
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The compiled record

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, 2,346 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.91 · states limitation 0.12 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.53 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

We propose a special solution of Einstein equations in the general Vaidya form representing a dynamical black hole having horizon cross-sections with toroidal topology. The concrete model enables us to study for the first time dynamical horizons with toroidal topology, its area law, and the question of matter flux inside the horizon, without using a cut-and-paste technology to construct the solution.

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 propose a special solution of Einstein equations in the general Vaidya form representing a dynamical black hole having horizon cross-sections with toroidal topology. contribution 0.99 0.92 0.40 asserted 0.91
s1 The concrete model enables us to study for the first time dynamical horizons with toroidal topology, its area law, and the question of matter flux inside the horizon, without using a cut-and-paste technology to construct the solution. contribution 0.96 0.75 0.39 asserted 0.98

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

What was examined, and what was not

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  • figures and tables
  • references and citing sentences
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  • 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 propose a special solution of Einstein equations in the general Vaidya form representing a dynamical black hole having horizon cross-sections with toroidal topology. The concrete model enables us to study for the first time dynamical horizons with toroidal topology, its area law, and the question of matter flux inside the horizon, without using a cut-and-paste technology to construct the solution.

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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

What it cites · 5 sentences without a confident label

Uses the method or tool of 1 paper
Cites as background 2 papers
  • For a more concrete definition of dynamical horizons and their difference to the isolated ones we refer to [ref] and the references therein.

    Dynamical Horizons and their Properties · Introduction · 0.99

  • Starting with the Hawking's theorem, stating that each connected component of the event horizon of a stationary black hole in four dimensional space time has the topology of a 2-sphere [ref] , most of the authors have been interested in non-dynamical asymptotically flat space times, excluding any kind of cosmological black holes [ref] .

    Asymptotically FRW black holes · Introduction · 0.99

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