Fundamental oscillation modes of scalar bosonic dark stars

Abstract

We perform a detailed analysis of the fundamental $f$-mode frequencies and damping times of nonrotating boson stars in general relativity by solving the nonradial perturbation equations. Two parameters which govern the microscopic properties of the bosonic condensates, namely the self-coupling strength and the mass of scalar particle, are explored. These two quantities characterize oscillations of boson star. Specifically, we reexamine some empirical relations that describe the $f$-mode parameters in terms of mass and radius of the boson stars. We found it is possible to constrain the equation of state if the fundamental oscillation mode is observed.

9 pages, 18 figures, 1 table and two appendixes (references added)

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• Self-interacting Dark Scalar Spikes around Black Holes via Relativistic Bondi Accretion
• Prospect of unraveling the first-order phase transition in neutron stars with $f$ and $p_1$ modes
• Impact of dark boson mediated feeble interaction between dark matter and hadronic matter on $f$-mode oscillation of neutron stars
• Effects of dark boson mediated feeble interaction between dark matter (DM) and quark matter on $f$-mode oscillation of DM admixed quark stars
• Probing Dark Star Parameters Through $f$-Mode Gravitational Wave Signals
• Non-radial oscillations of hadronic neutron stars, quark stars, and hybrid stars : Calculation of $f$, $p$, and $g$ mode frequencies
• Detectability of Massive Boson Stars using Gravitational Waves from Fundamental Oscillations
• Fundamental oscillations as a tool to distinguish boson stars from neutron stars and black holes
• Effects of the symmetry energy slope on magnetized neutron stars
• Gravitational-wave asteroseismology with f-modes from neutron star binaries at the merger phase