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.
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
1997
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), .
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
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Local EPrints ID: 29166
URI: http://eprints.soton.ac.uk/id/eprint/29166
ISSN: 0264-9381
PURE UUID: 5094cba4-c160-4295-b4e2-ce35870f54a0
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Date deposited: 07 Feb 2007
Last modified: 12 Dec 2021 03:04
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Contributors
Author:
M.A. Abramowicz
Author:
M. Bruni
Author:
P. Ghosh
Author:
S. Sonego
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