Marek A Abramowicz et al 1997 Class. Quantum Grav. 14 L189 doi:10.1088/0264-9381/14/12/002
Gravitational waves from ultracompact stars: the optical geometry view of trapped modes
Marek A Abramowicz
,
,§, Nils Andersson||, Marco Bruni, Pranab Ghosh¶ and Sebastiano Sonego
LETTER TO THE EDITOR
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.
- PACS
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04.40.Dg Relativistic stars: structure, stability, and oscillations
97.10.Cv Stellar structure, interiors, evolution, nucleosynthesis, ages
- MSC
- Subjects
- Dates
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Issue 12 (December 1997)
Received 15 September 1997
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Gravitational waves from ultracompact stars: the optical geometry view of trapped modes
Marek A Abramowicz et al 1997 Class. Quantum Grav. 14 L189
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