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An approach to the quantization of black-hole quasi-normal modes

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Soham Pal (ISU), Karthik Rajeev (IISER-TVM), S. Shankaranarayanan (IISER-TVM)

General Relativity and Quantum Cosmology · Submitted 19 Dec 2013

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

The authors' main claim Here we show a way to quantize the quasi-normal modes of the BTZ black hole by mapping it to the Bateman-Feschbach-Tikochinsky oscillator and the Caldirola-Kanai oscillator.

how it is stated · asserted 0.98 read the record →

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arXiv ID1312.5689 (version 2)
Pith IDTTM6JJX3, Pith's permanent record of this paper and its review
CitationKarthik Rajeev (IISER-TVM), Soham Pal (ISU), S. Shankaranarayanan (IISER-TVM). "An approach to the quantization of black-hole quasi-normal modes." arXiv:1312.5689 (2013). https://pith.science/paper/TTM6JJX3
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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, 4,225 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.71 · states limitation 0.26 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.05 · 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; .

In this work we derive the asymptotic quasi-normal modes of a BTZ black hole using a quantum field theoretic Lagrangian. The BTZ black hole is a very popular system in the context of $2+1$-dimensional quantum gravity. However to our knowledge the quasi-normal modes of the BTZ black hole have been studied only in the classical domain. Here we show a way to quantize the quasi-normal modes of the BTZ black hole by mapping it to the Bateman-Feschbach-Tikochinsky oscillator and the Caldirola-Kanai oscillator. We have also discussed a couple of other black hole potentials to which this method can be applied

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 In this work we derive the asymptotic quasi-normal modes of a BTZ black hole using a quantum field theoretic Lagrangian. contribution 0.90 0.97 0.39 asserted 1.00
s1 The BTZ black hole is a very popular system in the context of $2+1$-dimensional quantum gravity. background 1.00 0.04 0.02 asserted 1.00
s2 However to our knowledge the quasi-normal modes of the BTZ black hole have been studied only in the classical domain. gap 1.00 0.07 0.04 asserted 0.95
s3 Here we show a way to quantize the quasi-normal modes of the BTZ black hole by mapping it to the Bateman-Feschbach-Tikochinsky oscillator and the Caldirola-Kanai oscillator. method 0.80 0.95 0.71 asserted 0.98
s4 We have also discussed a couple of other black hole potentials to which this method can be applied contribution 0.84 0.90 0.08 asserted 0.78

What kind of paper the classifier reports this is: theoretical result 0.58 · evidence from proof or derivation 1.00.

What was examined, and what was not

sources read
  • arXiv listing abstract v2
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
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  • P abstract
not run
  • 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

In this work we derive the asymptotic quasi-normal modes of a BTZ black hole using a quantum field theoretic Lagrangian. The BTZ black hole is a very popular system in the context of $2+1$-dimensional quantum gravity. However to our knowledge the quasi-normal modes of the BTZ black hole have been studied only in the classical domain. Here we show a way to quantize the quasi-normal modes of the BTZ black hole by mapping it to the Bateman-Feschbach-Tikochinsky oscillator and the Caldirola-Kanai oscillator. We have also discussed a couple of other black hole potentials to which this method can be applied

Human review

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How the literature uses it

1 arXiv paper cite this in 1 sentence

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 · 15 sentences without a confident label

Uses the method or tool of 1 paper
Cites as support 1 paper
Cites as background 1 paper

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