Computing gravitational waves from slightly nonspherical stellar collapse to black hole: Odd-parity perturbation

Abstract

Nonspherical stellar collapse to a black hole is one of the most promising gravitational wave sources for gravitational wave detectors. We numerically study gravitational waves from a slightly nonspherical stellar collapse to a black hole in linearized Einstein theory. We adopt a spherically collapsing star as the zeroth-order solution and gravitational waves are computed using perturbation theory on the spherical background. In this paper we focus on the perturbation of odd-parity modes. Using the polytropic equations of state with polytropic indices $n_p=1$ and 3, we qualitatively study gravitational waves emitted during the collapse of neutron stars and supermassive stars to black holes from a marginally stable equilibrium configuration. Since the matter perturbation profiles can be chosen arbitrarily, we provide a few types for them. For $n_p=1$, the gravitational waveforms are mainly characterized by a black hole quasinormal mode ringing, irrespective of perturbation profiles given initially. However, for $n_p=3$, the waveforms depend strongly on the initial perturbation profiles. In other words, the gravitational waveforms strongly depend on the stellar configuration and, in turn, on the ad hoc choice of the functional form of the perturbation in the case of supermassive stars.

31 pages, accepted for publication in Phys. Rev. D, typos and minor errors corrected

References in corpus (10)

• Relativistic simulations of rotational core collapse. II. Collapse dynamics and gravitational radiation
• Stable Operation of a 300-m Laser Interferometer with Sufficient Sensitivity to Detect Gravitational-Wave Events within our Galaxy
• Three-dimensional general relativistic hydrodynamics II: long-term dynamics of single relativistic stars
• Collapse of a Rotating Supermassive Star to a Supermassive Black Hole: Fully Relativistic Simulations
• Gravitational Waves from the Merger of Binary Neutron Stars in a Fully General Relativistic Simulation
• Physical Processes in Naked Singularity Formation
• Collapse of a Rotating Supermassive Star to a Supermassive Black Hole: Post-Newtonian Simulations
• Scalar field induced oscillations of neutron stars and gravitational collapse
• Cosmological Solutions on Compactified AdS_5 with a Thermal Bulk
• Equilibrium and stability of supermassive stars in binary systems

Cited by in corpus (16)

• Quasinormal modes of black holes and black branes
• Gauge-invariant Non-spherical Metric Perturbations of Schwarzschild Black-Hole Spacetimes
• Extraction of Gravitational Waves in Numerical Relativity
• Second and higher-order perturbations of a spherical spacetime
• Coupling of Radial and Axial non-Radial Oscillations of Compact Stars: Gravitational Waves from first-order Differential Rotation
• Accretion-driven gravitational radiation from nonrotating compact objects. Infalling quadrupolar shells
• Observation results by the TAMA300 detector on gravitational wave bursts from stellar-core collapses
• The Gravitational Wave Signature of Core-Collapse Supernovae
• Physical interpretation of gauge invariant perturbations of spherically symmetric space-times
• Gravitational radiation from collapsing magnetized dust
• High-order perturbations of a spherical collapsing star
• Gravitational Radiation from Collapsing Magnetized Dust. II -- Polar Parity Perturbation --
• Gauge invariant perturbations of self-similar Lemaître-Tolman-Bondi spacetime: even parity modes with $l\ge 2$
• Gauge-invariant perturbations of relativistic non-perfect fluids in spherical spacetime
• Rapidly Rotating Neutron Star Collapse in Massive Scalar-Tensor Theories
• Non-linear Oscillations of Compact Stars and Gravitational Waves