Quasinormal modes for the SdS black hole : an analytical approximation scheme

V. Suneeta

RECORD

Quasinormal modes for the SdS black hole : an analytical approximation scheme

V. Suneeta

General Relativity and Quantum Cosmology · Submitted 31 Mar 2003

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

The authors' main claim The model mirrors some striking features observed in numerical studies of time behaviour of scalar perturbations of the SdS black hole.

how it is stated · asserted 0.94 read the record →

Comment (0) Read on arXiv ↗

Cite ▾

Claim paper

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.

Open the compiled record

Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 6,112 input tokens, $0.0003 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.95 · human participants 0.01 · controlled comparison 0.05 · randomized assignment 0.01 · states quantitative result 0.07 · compares with prior results 0.88 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

Quasinormal modes for scalar field perturbations of a Schwarzschild-de Sitter (SdS) black hole are investigated. An analytical approximation is proposed for the problem. The quasinormal modes are evaluated for this approximate model in the limit when black hole mass is much smaller than the radius of curvature of the spacetime. The model mirrors some striking features observed in numerical studies of time behaviour of scalar perturbations of the SdS black hole. In particular, it shows the presence of two sets of modes relevant at two different time scales, proportional to the surface gravities of the black hole and cosmological horizons respectively. These quasinormal modes are not complete - another feature observed in numerical studies. Refinements of this model to yield more accurate quantitative agreement with numerical studies are discussed. Further investigations of this model are outlined, which would provide a valuable insight into time behaviour of perturbations in the SdS spacetime.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	Quasinormal modes for scalar field perturbations of a Schwarzschild-de Sitter (SdS) black hole are investigated.	background 0.57	0.78	0.04	asserted 0.95
s1	An analytical approximation is proposed for the problem.	contribution 0.54	0.90	0.09	asserted 0.99
s2	The quasinormal modes are evaluated for this approximate model in the limit when black hole mass is much smaller than the radius of curvature of the spacetime.	method 0.46	0.92	0.16	asserted 1.00
s3	The model mirrors some striking features observed in numerical studies of time behaviour of scalar perturbations of the SdS black hole.	result 0.68	0.78	0.21	asserted 0.94
s4	In particular, it shows the presence of two sets of modes relevant at two different time scales, proportional to the surface gravities of the black hole and cosmological horizons respectively.	result 0.97	0.85	0.28	asserted 1.00
s5	These quasinormal modes are not complete - another feature observed in numerical studies.	limitation 0.67	0.68	0.12	asserted 1.00
s6	Refinements of this model to yield more accurate quantitative agreement with numerical studies are discussed.	future work 0.62	0.72	0.07	asserted 0.70
s7	Further investigations of this model are outlined, which would provide a valuable insight into time behaviour of perturbations in the SdS spacetime.	future work 1.00	0.31	0.09	hedged possibility 0.62

What kind of paper the classifier reports this is: theoretical result 0.81 · evidence from proof or derivation 0.98.

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

levels run

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

Quasinormal modes for scalar field perturbations of a Schwarzschild-de Sitter (SdS) black hole are investigated. An analytical approximation is proposed for the problem. The quasinormal modes are evaluated for this approximate model in the limit when black hole mass is much smaller than the radius of curvature of the spacetime. The model mirrors some striking features observed in numerical studies of time behaviour of scalar perturbations of the SdS black hole. In particular, it shows the presence of two sets of modes relevant at two different time scales, proportional to the surface gravities of the black hole and cosmological horizons respectively. These quasinormal modes are not complete - another feature observed in numerical studies. Refinements of this model to yield more accurate quantitative agreement with numerical studies are discussed. Further investigations of this model are outlined, which would provide a valuable insight into time behaviour of perturbations in the SdS spacetime.

Human review

How Pith checks papers → · Full audit of this paper →

References

Forward citations

Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

A master equation for gravitational perturbations of maximally symmetric black holes in higher dimensions
hep-th 2003-05 accept novelty 7.0 of 10

All three types of gravitational perturbation of a maximally symmetric higher-dimensional vacuum black hole reduce to one second-order wave equation in the two-dimensional time-radius plane, with an explicit effective...
Master equations for perturbations of generalised static black holes with charge in higher dimensions
hep-th 2003-08 accept novelty 6.0 of 10

The perturbation equations of a charged higher-dimensional black hole with an Einstein-space horizon decouple into two independent wave equations, one gravitational and one electromagnetic, for any value of the cosmol...
Massive Dirac quasinormal modes in Schwarzschild-dS black holes: anomalous decay rate and fine structure
gr-qc 2020-09 conditional novelty 5.0 of 10

The decay rate of massive fermionic quasinormal modes in Schwarzschild-de Sitter black holes is anomalous for small cosmological constant, with a critical fermion mass, and the spectrum shows a chirality-dependent fin...

How the literature uses it

7 arXiv papers cite this in 8 sentences

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 citing it · 4 sentences without a confident label

Builds on it 2 papers

The standard case that is usually dealt with is for [equation] A related model where $V_0- = V_0+ = V_0$ but $b_+≠b_-$ has been explored by Suneeta [ref] , but our current model is more general, and we will take the analysis much further.

Semi-analytic results for quasi-normal frequencies · Potential · 0.93
A related model where $V_0- = V_0+ = V_0$ but with $b_+≠b_-$ has been explored by Suneeta [ref] , but our current model is more general, and we will take the analysis much further.

Highly-damped quasi-normal frequencies for piecewise Eckart potentials · Introduction · 0.83

Cites it as background 2 papers

So far, several aspects of the massive (massless) scalar field in the background of the SdS and Schwarzschild-anti-de Sitter (SadS) black holes have been studied in many papers, such as [ref] .

Slowly decaying resonances of massive scalar fields around Schwarzschild-de Sitter black holes · Introduction · 0.98
Other analytical approximation to the problem of scalar field perturbation on Schwarzschild-de Sitter black holes was studied, and it was shown the presence of two sets of modes relevant at two different time scales, proportional to the surface gravity of the black hole and to the cosmological horizon respectively [ref] .

Massive Dirac quasinormal modes in Schwarzschild-dS black holes: anomalous decay rate and fine structure · Introduction · 0.88

Discussion

Know something about this paper? Leave a comment, or highlight any passage above to comment on it.