scholarly journals Quasi-periodic accretion and gravitational waves from oscillating 'toroidal neutron stars' around a Schwarzschild black hole

2003 ◽  
Vol 341 (3) ◽  
pp. 832-848 ◽  
Author(s):  
O. Zanotti ◽  
L. Rezzolla ◽  
J. A. Font
2009 ◽  
Vol 42 (5) ◽  
pp. 1287-1310 ◽  
Author(s):  
Juan Carlos Degollado ◽  
Darío Núñez ◽  
Carlos Palenzuela

Violent events in the Universe, where gravity is relativistically strong, should produce copious amounts of gravitational radiation. Examples are the collapse of a normal star to form a neutron star or a black hole (supernova explosion); the pulsations of a newborn black hole; the rapid rotation of a young, deformed neutron star; quakes and pulsations of neutron stars; collisions between neutron stars and between black holes in the centres of globular clusters and in the nuclei of galaxies. Such phenomena typically are obscured from the sight of electromagnetic telescopes by thick layers of surrounding matter. However, gravitational waves should pass through the surrounding matter unimpeded. Detailed measurements of such gravitational waves - if they can be made - will give detailed information about the dynamical motions of matter and of space-time curvature in violent cosmic events.


2017 ◽  
Vol 26 (01n02) ◽  
pp. 1740015 ◽  
Author(s):  
Chang-Hwan Lee

With H. A. Bethe, G. E. Brown worked on the merger rate of neutron star binaries for the gravitational wave detection. Their prediction has to be modified significantly due to the observations of [Formula: see text] neutron stars and the detection of gravitational waves. There still, however, remains a possibility that neutron star-low mass black hole binaries are significant sources of gravitational waves for the ground-based detectors. In this paper, I review the evolution of neutron star binaries with super-Eddington accretion and discuss the future prospect.


The quasi-normal modes of a black hole represent solutions of the relevant perturbation equations which satisfy the boundary conditions appropriate for purely outgoing (gravitational) waves at infinity and purely ingoing waves at the horizon. For the Schwarzschild black hole the problem reduces to one of finding such solutions for a one-dimensional wave equation (Zerilli’s equation) for a potential which is positive everywhere and is of short-range. The notion of quasi-normal modes of such one-dimensional potential barriers is examined with two illustrative examples; and numerical solutions for Zerilli’s potential are obtained by integrating the associated Riccati equation.


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