The close-limit approximation to Neutron Star Collisions
arXiv:gr-qc/9903100 · doi:10.1103/PhysRevD.60.104021
Abstract
We develop a close-limit approximation to the head-on collision of two neutron stars similar to that used to treat the merger of black hole binaries . This approximation can serve as a useful benchmark test for future fully nonlinear studies. For neutron star binaries, the close-limit approximation involves assuming that the merged object can be approximated as a perturbed, stable neutron star during the ring-down phase of the coalescence. We introduce a prescription for the construction of initial data sets, discuss the physical plausibility of the various assumptions involved, and briefly investigate the character of the gravitational radiation produced during the merger. The numerical results show that several of the merged objects fluid pulsation modes are excited to a significant level.
arXiv comment13 pages, 3 figures
References in corpus (15)
- A new class of unstable modes of rotating relativistic stars
- Towards gravitational-wave asteroseismology
- Gravitational waves from hot young rapidly rotating neutron stars
- Gravitational Radiation Instability in Hot Young Neutron Stars
- Axial instability of rotating relativistic stars
- Gravitational waves and pulsating stars: What can we learn from future observations?
- Colliding Black Holes: The Close Limit
- Gravitational radiation limit on the spin of young neutron stars
- Dynamics of perturbations of rotating black holes
- Hydrodynamics of Binary Coalescence.I. Polytropes with Stiff Equations of State
- Gravitational Radiation from Coalescing Binary Neutron Stars
- Gravitational waves from pulsating stars: Evolving the perturbation equations for a relativistic star
- Head-on collision of two black holes: comparison of different approaches
- Gravitational Waves from a Particle Orbiting Around a Rotating Black Holes: Post-Newtonian Expansion
- Head-On Collision of Neutron Stars As A Thought Experiment
Cited by in corpus (16)
- Quasi-Normal Modes of Stars and Black Holes
- The r-mode instability in rotating neutron stars
- Gravitational waves and nonaxisymmetric oscillation modes in mergers of compact object binaries
- The inverse problem for pulsating neutron stars: A ``fingerprint analysis'' for the supranuclear equation of state
- How Gravitational-wave Observations Can Shape the Gamma-ray Burst Paradigm
- Scattering of particles by neutron stars: Time-evolutions for axial perturbations
- GW170817 implications on the frequency and damping time of f-mode oscillations of neutron stars
- Accretion-driven gravitational radiation from nonrotating compact objects. Infalling quadrupolar shells
- New approach to the evolution of neutron star oscillations
- Excitation of Neutron Star Oscillations by an Orbiting Particle
- Evolution equations for the perturbations of slowly rotating relativistic stars
- Construction of Astrophysical Initial Data for Perturbations of Relativistic Stars
- Gravitational waves from a dust disk around a Schwarzschild black hole
- Applications of the close-limit approximation: horizonless compact objects and scalar fields
- The Numerical Evolution of Neutron Star Oscillations
- Temporal variations in space-time and progenitors of gamma ray burst and millisecond pulsars