THE INFLUENCE OF THE INERTIAL DRAGGING EFFECT ON GRAVITATIONAL RADIATION EMITTED FROM A PARTICLE MOVING IN EQUATORIAL GEODESIC CIRCULAR ORBIT ABOUT A KERR’S BLACK HOLE

1993 ◽  
Vol 02 (02) ◽  
pp. 149-161
Author(s):  
BIPING GONG

Using Chranowski and Misner’s equations,1 gravitational radiation emitted from a particle moving in an equatorial geodesic circular orbit about a Kerr’s black hole is calculated. Outside the classical turning point, the radiation energy can be represented as a continuous function of orbital radius of the particle, and thus a corresponding curve is obtained. Using Wilkins’ approach,2 two inertial dragging related functions are obtained by restricting the orbit of the particle to the equatorial plane of a Kerr’s black hole. By comparing the curve of the gravitational radiation and the curves of the simulating functions (consisting of the angular frequency and the drag related function), we come to the conclusion that inertial dragging effect on a particle is one of the main factors that influences the gravitational radiation.

2021 ◽  
Vol 81 (1) ◽  
Author(s):  
Monimala Mondal ◽  
Farook Rahaman ◽  
Ksh. Newton Singh

AbstractGeodesic motion has significant characteristics of space-time. We calculate the principle Lyapunov exponent (LE), which is the inverse of the instability timescale associated with this geodesics and Kolmogorov–Senai (KS) entropy for our rotating Kerr–Kiselev (KK) black hole. We have investigate the existence of stable/unstable equatorial circular orbits via LE and KS entropy for time-like and null circular geodesics. We have shown that both LE and KS entropy can be written in terms of the radial equation of innermost stable circular orbit (ISCO) for time-like circular orbit. Also, we computed the equation marginally bound circular orbit, which gives the radius (smallest real root) of marginally bound circular orbit (MBCO). We found that the null circular geodesics has larger angular frequency than time-like circular geodesics ($$Q_o > Q_{\sigma }$$ Q o > Q σ ). Thus, null-circular geodesics provides the fastest way to circulate KK black holes. Further, it is also to be noted that null circular geodesics has shortest orbital period $$(T_{photon}< T_{ISCO})$$ ( T photon < T ISCO ) among the all possible circular geodesics. Even null circular geodesics traverses fastest than any stable time-like circular geodesics other than the ISCO.


1993 ◽  
Vol 47 (4) ◽  
pp. 1511-1518 ◽  
Author(s):  
Curt Cutler ◽  
Lee Samuel Finn ◽  
Eric Poisson ◽  
Gerald Jay Sussman

2017 ◽  
Vol 96 (8) ◽  
Author(s):  
Yeong-Bok Bae ◽  
Hyung Mok Lee ◽  
Gungwon Kang ◽  
Jakob Hansen

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