RECORD
Universality in Quasi-normal Modes of Neutron Stars
General Relativity and Quantum Cosmology · Submitted 6 Dec 2004
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We find that the quasi-normal mode frequencies of such waves, including the $w$-modes and the $f$-mode, display similar universal scaling behaviours that hold for most EOS.
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
The abstract, sentence by sentence
We study the universality in gravitational waves emitted from non-rotating neutron stars characterized by different equations of state (EOS). We find that the quasi-normal mode frequencies of such waves, including the $w$-modes and the $f$-mode, display similar universal scaling behaviours that hold for most EOS. Such behaviours are shown to stem from the mathematical structure of the axial and the polar gravitational wave equations, and the fact that the mass distribution function can be approximated by a cubic-quintic polynomial in radius. As a benchmark for other realistic neutron stars, a simple model of neutron stars is adopted here to reproduce the pulsation frequencies and the generic scaling behaviours mentioned above with good accuracy.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We study the universality in gravitational waves emitted from non-rotating neutron stars characterized by different equations of state (EOS). | contribution 0.97 | 0.88 | 0.05 | unclear 0.52 |
| s1 | We find that the quasi-normal mode frequencies of such waves, including the $w$-modes and the $f$-mode, display similar universal scaling behaviours that hold for most EOS. | result 1.00 | 0.95 | 0.82 | asserted 1.00 |
| s2 | Such behaviours are shown to stem from the mathematical structure of the axial and the polar gravitational wave equations, and the fact that the mass distribution function can be approximated by a cubic-quintic polynomial in radius. | interpretation 0.98 | 0.77 | 0.21 | asserted 1.00 |
| s3 | As a benchmark for other realistic neutron stars, a simple model of neutron stars is adopted here to reproduce the pulsation frequencies and the generic scaling behaviours mentioned above with good accuracy. | method 0.89 | 0.87 | 0.09 | asserted 0.99 |
What was examined, and what was not
- arXiv listing abstract v1
- full text
- figures and tables
- references and citing sentences
- relations to other papers
- P abstract
- S sections
- T body sentences
- C citations
- R cross-paper relations
The paper
Original abstract
We study the universality in gravitational waves emitted from non-rotating neutron stars characterized by different equations of state (EOS). We find that the quasi-normal mode frequencies of such waves, including the $w$-modes and the $f$-mode, display similar universal scaling behaviours that hold for most EOS. Such behaviours are shown to stem from the mathematical structure of the axial and the polar gravitational wave equations, and the fact that the mass distribution function can be approximated by a cubic-quintic polynomial in radius. As a benchmark for other realistic neutron stars, a simple model of neutron stars is adopted here to reproduce the pulsation frequencies and the generic scaling behaviours mentioned above with good accuracy.
Human review
References
How the literature uses it
21 arXiv papers cite this in 40 sentences
Papers citing it · 22 sentences without a confident label
Contests it 1 paper
-
As seen in Fig. [ref], where our results are shown together with the fit proposed in Ref. [ref] , the general conclusion is that the relationships for both the oscillation frequency and the damping times do not hold valid when hadron-quark conversions at the interface are slow and extended stable stellar branches arise.
Breaking of universal relationships of axial wI-modes in hybrid stars: rapid and slow hadron-quark conversion scenarios · Results · contest 0.84
Compares with it 1 paper
-
In addition, the small imaginary modes (the upper two plots in Fig. [ref]) appear to follow the universal relations of QNMs of neutron star reported in [ref] in a small compactness region i.e. $C < 0.25$.
Normal and Quasinormal Modes of Holographic Multiquark Star · WKB · 0.89
Cites it as background 12 papers
-
Relations between the moment of inertia, the quadrupole moment and the tidal deformability (tidal Love number) were first discovered in [ref] ; other approximately universal relations can be found in [ref] .
Toward Realistic and Practical No-Hair Relations for Neutron Stars in the Non-Relativistic Limit · Introduction · 0.92
-
We focused our attention into the fundamental and first overtones for which universal relationships have been proposed [ref] .
Breaking of universal relationships of axial wI-modes in hybrid stars: rapid and slow hadron-quark conversion scenarios · Summary and Discussion · 0.84
-
Later, Tsui and Leung used a different scaling, which accurately describes both $f_pert$ and $τ_damp$, as well as other families of modes [ref] .
Frequency deviations in universal relations of isolated neutron stars and postmerger remnants · Isolated stars · 0.84
Discussion
Know something about this paper? Leave a comment, or highlight any passage above to comment on it.