scholarly journals Post-Newtonian expansion of gravitational waves from a particle in circular orbit around a rotating black hole: Up toO(v8)beyond the quadrupole formula

1996 ◽  
Vol 54 (2) ◽  
pp. 1439-1459 ◽  
Author(s):  
Hideyuki Tagoshi ◽  
Masaru Shibata ◽  
Takahiro Tanaka ◽  
Misao Sasaki
Keyword(s):  
Black Hole ◽  
Gravitational Waves ◽  
Circular Orbit ◽  
Rotating Black Hole

scholarly journals Motion deviation of test body induced by spin and cosmological constant in extreme mass ratio inspiral binary system

2019 ◽  
Vol 79 (10) ◽  
Author(s):  
Yu-Peng Zhang ◽  
Shao-Wen Wei ◽  
Pau Amaro-Seoane ◽  
Jie Yang ◽  
Yu-Xiao Liu
Keyword(s):  
Black Hole ◽  
Phase Shift ◽  
Cosmological Constant ◽  
Gravitational Waves ◽  
Test Particle ◽  
Circular Orbit ◽  
Mass Ratio ◽  
Stable Circular Orbit ◽  
Innermost Stable Circular Orbit ◽  
The Impact

Abstract The future space-borne detectors will provide the possibility to detect gravitational waves emitted from extreme mass ratio inspirals of stellar-mass compact objects into supermassive black holes. It is natural to expect that the spin of the compact object and cosmological constant will affect the orbit of the inspiral process and hence lead to the considerable phase shift of the corresponding gravitational waves. In this paper, we investigate the motion of a spinning test particle in the spinning black hole background with a cosmological constant and give the order of motion deviation induced by the particle’s spin and the cosmological constant by considering the corresponding innermost stable circular orbit. By taking the neutron star or kerr black hole as the small body, the deviations of the innermost stable circular orbit parameters induced by the particle’s spin and cosmological constant are given. Our results show that the deviation induced by particle’s spin is much larger than that induced by cosmological constant when the test particle locates not very far away from the black hole, the accumulation of phase shift during the inspiral from the cosmological constant can be ignored when compared to the one induced by the particle’s spin. However when the test particle locates very far away from the black hole, the impact from the cosmological constant will increase dramatically. Therefore the accumulation of phase shift for the whole process of inspiral induced by the cosmological constant and the particle’s spin should be handled with caution.

WIGGLY STRING SOLUTIONS IN KERR–NEWMAN BLACK HOLE

2011 ◽  
Vol 26 (16) ◽  
pp. 1221-1230 ◽  
Author(s):  
HIROMI SUZUKI
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Equatorial Plane ◽  
Circular Orbit ◽  
Axially Symmetric ◽  
Rotating Black Hole ◽  
Open Strings ◽  
Newman Black Hole ◽  
Kerr Black Holes

Previously we investigated the cosmic wiggly strings in (3+1)-dimensional Schwarzschild, Reissner–Nordström and Kerr black holes. As an extension, the solutions in (3+1)-dimensional axially symmetric charged rotating black hole are investigated. The solution for the wiggly string exhibits open strings lying along the circular orbit in the equatorial plane outside horizon.

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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