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Letter to the editor. Gravitational waves from ultracompact stars: the optical geometry view of trapped modes

Letter to the editor. Gravitational waves from ultracompact stars: the optical geometry view of trapped modes
Letter to the editor. Gravitational waves from ultracompact stars: the optical geometry view of trapped modes
Ultracompact stars - if they exist - have a unique signature: a discrete spectrum of slowly damped gravitational-wave quasinormal modes. It is known that this feature is due to a potential well present for stars with R<3M. In this letter we show that the appearance of this well is essentially due to the non-Newtonian behaviour of the centrifugal potential: here we explain this behaviour adopting the optical geometry point of view. This insight leads us to an approximation, valid for highly compact stars, by which the real part of the spectrum is easily computed with good accuracy.
0264-9381
L189-L194
Abramowicz, M.A.
94a92440-917a-4930-9fb3-8c45f70d2fd9
Andersson, N.
2dd6d1ee-cefd-478a-b1ac-e6feedafe304
Bruni, M.
424b3940-92f7-426c-8477-f86de7eacc96
Ghosh, P.
2602f3f8-6835-46b1-9cd4-12f4e8396a1d
Sonego, S.
eaf08a59-7c68-426a-966f-e2f9a96f4425
Abramowicz, M.A.
94a92440-917a-4930-9fb3-8c45f70d2fd9
Andersson, N.
2dd6d1ee-cefd-478a-b1ac-e6feedafe304
Bruni, M.
424b3940-92f7-426c-8477-f86de7eacc96
Ghosh, P.
2602f3f8-6835-46b1-9cd4-12f4e8396a1d
Sonego, S.
eaf08a59-7c68-426a-966f-e2f9a96f4425

Abramowicz, M.A., Andersson, N., Bruni, M., Ghosh, P. and Sonego, S. (1997) Letter to the editor. Gravitational waves from ultracompact stars: the optical geometry view of trapped modes. Classical and Quantum Gravity, 14 (12), L189-L194.

Record type: Article

Abstract

Ultracompact stars - if they exist - have a unique signature: a discrete spectrum of slowly damped gravitational-wave quasinormal modes. It is known that this feature is due to a potential well present for stars with R<3M. In this letter we show that the appearance of this well is essentially due to the non-Newtonian behaviour of the centrifugal potential: here we explain this behaviour adopting the optical geometry point of view. This insight leads us to an approximation, valid for highly compact stars, by which the real part of the spectrum is easily computed with good accuracy.

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Published date: 1997

Identifiers

Local EPrints ID: 29166
URI: https://eprints.soton.ac.uk/id/eprint/29166
ISSN: 0264-9381
PURE UUID: 5094cba4-c160-4295-b4e2-ce35870f54a0
ORCID for N. Andersson: ORCID iD orcid.org/0000-0001-8550-3843

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Date deposited: 07 Feb 2007
Last modified: 18 May 2019 00:36

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Contributors

Author: M.A. Abramowicz
Author: N. Andersson ORCID iD
Author: M. Bruni
Author: P. Ghosh
Author: S. Sonego

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