scholarly journals Gravitational waves from a particle in circular orbits around a rotating black hole to the 11th post-Newtonian order

2015 ◽  
Vol 2015 (3) ◽  
pp. 33E01-0 ◽  
Author(s):  
R. Fujita
Keyword(s):  
Black Hole ◽  
Gravitational Waves ◽  
Circular Orbits ◽  
Rotating Black Hole

scholarly journals Gravitational waves from a spinning particle in circular orbits around a rotating black hole

1996 ◽  
Vol 54 (6) ◽  
pp. 3762-3777 ◽  
Author(s):  
Takahiro Tanaka ◽  
Yasushi Mino ◽  
Misao Sasaki ◽  
Masaru Shibata
Keyword(s):  
Black Hole ◽  
Gravitational Waves ◽  
Circular Orbits ◽  
Spinning Particle ◽  
Rotating Black Hole

scholarly journals Simulating angular momentum of gravitational field of a rotating black hole and spin momentum of gravitational waves

2021 ◽  
pp. 7-20
Author(s):  
Yoshio Matsuki ◽  
Petro Bidyuk
Keyword(s):  
Black Hole ◽  
Angular Momentum ◽  
Gravitational Field ◽  
Gravitational Waves ◽  
Flat Surface ◽  
Curved Surface ◽  
Polar Coordinates ◽  
Rotating Black Hole ◽  
Quantum Particles ◽  
Spin Momentum

In this research, we simulated the angular momentum of gravitational field of a rotating black hole and the spin momentum of gravitational waves emitted from the black hole. At first, we calculated energy densities of the rotating gravitational field and spinning gravitational waves as the vectors, which were projected on the spherical curved surface of the gravitational field and of the gravitational waves. Then we calculated the angular momentum and the spin momentum as the vectors perpendicular to the curved surface. The earlier research by Paul Dirac, published in 1964, did not select the curved surface to calculate the motion of quantum particles; but, instead, he chose the flat surface to develop the theory of quantum mechanics. However, we pursued the simulation of the gravitational waves in spherical polar coordinates that form the spherical curved surface of the gravitational waves. As a result, we found that a set of anti-symmetric vectors described the vectors that were perpendicular to the spherical curved surface, and with these vectors we simulated the angular momentum of the rotating black hole’s gravitational field and the spin momentum of gravitational waves. The obtained results describe the characteristics of the rotation of a black hole and of spinning gravitational waves.

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