scholarly journals Gravitational waves emitted by a particle rotating around a Schwarzschild black hole: A semiclassical approach

2017 ◽  
Vol 95 (6) ◽  
Author(s):  
Rafael P. Bernar ◽  
Luís C. B. Crispino ◽  
Atsushi Higuchi
2009 ◽  
Vol 42 (5) ◽  
pp. 1287-1310 ◽  
Author(s):  
Juan Carlos Degollado ◽  
Darío Núñez ◽  
Carlos Palenzuela

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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