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Quasinormal mode spectra for odd parity perturbations in spacetimes with smeared matter sources

2018/07/31 by K. Das, Kumar Das, Souvik Pramanik +1
Mathematics · Physics and Astronomy · #Astrophysics #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Distribution (mathematics) #Galaxy #Gaussian #Geometry #Gravitation #Gravitational wave #Invertible matrix #Mass distribution #Mathematical analysis #Mathematical physics #Mathematics #Parity (physics) #Perturbation (astronomy) #Physics #Pulsars and Gravitational Waves Research #Quantum mechanics #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.99.024039

published as Phys. Rev. D 99, 024039 (2019) · New material added: higher order WKB corrections, title changed, version accepted in Phys.Rev. D

arxiv created 2018/12/31 · openalex publication_date 2019/01/29 · arxiv updated 2019/02/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We have found the quasinormal mode (QNM) frequencies of a class of static spherically symmetric spacetimes having a smeared matter distribution, parametrized by \mathrm\ensuremathΘ, an inherent length scale. Here, our main focus is on the QNMs for the odd parity perturbation in this background geometry. The results presented here for diffused mass distribution reveal significant changes in the QNM spectrum. This could be relevant for future generation (cosmological) observations, specifically to distinguish the signals of gravitational waves from a nonsingular source in contrast to a singular geometry. We also provide numerical estimates for the \mathrm\ensuremathΘ-corrected QNM spectrum applicable to typical globular clusterlike spherical galaxies having a Gaussian spread in their mass distribution. We find that the \mathrm\ensuremathΘ correction to the gravitational waves signal due to smeared distribution is accessible to present day observational precision.

Citations