A Semi-analytic Study of Axial Perturbations of Ultra Compact Stars

Abstract

Compact object perturbations, at linear order, often lead in solving one or more coupled wave equations. The study of these equations was typically done by numerical or semi-analytical methods. The WKB method and the associated Bohr-Sommerfeld rule have been proved extremely useful tools in the study of black-hole perturbations and the estimation of the related quasi-normal modes. Here we present an extension of the aforementioned semi-analytic methods in the study of perturbations of ultra-compact stars and gravastars.

Accepted for publication in CQG, 13 pages, 3 figures, 5 tables

References in corpus (3)

• Echoes of ECOs: gravitational-wave signatures of exotic compact objects and of quantum corrections at the horizon scale
• Light rings as observational evidence for event horizons: long-lived modes, ergoregions and nonlinear instabilities of ultracompact objects
• How to tell a gravastar from a black hole

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• Inverse problem of analog gravity systems II: Rotation and energy-dependent boundary conditions
• Quasinormal Modes by Improved Matrix Method and Weighted Residual Method
• Horizonless star based on regular black hole with finite radius and its observational signatures