scholarly journals The Schwarzschild Black Hole as a Point Particle

2005 ◽  
Vol 18 (5) ◽  
pp. 477-489 ◽  
Author(s):  
A. N. Petrov
Keyword(s):  
Black Hole ◽  
Point Particle ◽  
Schwarzschild Black Hole

scholarly journals Model for Gravitational Radiation from the Galactic Center: Infall of a Particle into a Black Hole

1997 ◽  
Vol 12 (25) ◽  
pp. 1879-1882 ◽  
Author(s):  
Carlos O. Lousto
Keyword(s):  
Black Hole ◽  
Gravitational Radiation ◽  
Galactic Center ◽  
Point Particle ◽  
Schwarzschild Black Hole ◽  
Transform Methods ◽  
Radiated Energy

We present here the results of the study of the gravitational radiation generated by the infall (from rest at radius r0) of a point particle of mass m0 into a Schwarzschild black hole of mass M. We use Laplace's transform methods and find that the spectra of radiation for ~5M<r0<∞ presents a series of evenly spaced bumps. The total radiated energy is not monotonically decreasing with r0, but presents a joroba (hunch-back) at around r0≈4.5M. We finally discuss the detectability of the gravitational radiation coming from the black hole in the center of our galaxy.

Dynamics of the particle around AdS Schwarzschild black hole environed by quintessence

2020 ◽  
Author(s):  
Amir Sultan Khan ◽  
Farhad Ali ◽  
Israr Ali Khan
Keyword(s):  
Magnetic Field ◽  
Black Hole ◽  
Charged Particles ◽  
Particle Dynamics ◽  
Point Particle ◽  
Noether Symmetries ◽  
Escape Velocity ◽  
Schwarzschild Black Hole ◽  
Complex Motion ◽  
Celestial Bodies

The field of point particle dynamics is correlated with the particle dynamics around a black hole, and one can initiate the investigation of a more complex motion of extended bodies/celestial bodies. In this article, we study the dynamics of neutral/charged particles around the AdS Schwarzschild black hole surrounded by quintessence. At the foot of Noether symmetries and the conservation laws of the proposed spacetime, we discuss the effect of the cosmological constant, angular momentum, quintessence parameter, and magnetic field on the dynamics of neutral and charged particles in the form of the effective potential, effective force and escape velocity. Finally, we investigate the orbit stability of spacetime with the help of the Lyapunov exponent.

scholarly journals A SPECTRAL COLLOCATION APPROXIMATION FOR THE RADIAL-INFALL OF A COMPACT OBJECT INTO A SCHWARZSCHILD BLACK HOLE

2009 ◽  
Vol 20 (11) ◽  
pp. 1827-1848 ◽  
Author(s):  
JAE-HUN JUNG ◽  
GAURAV KHANNA ◽  
IAN NAGLE
Keyword(s):  
Black Hole ◽  
Collocation Method ◽  
Projection Method ◽  
Difference Method ◽  
Point Particle ◽  
Spectral Collocation Method ◽  
Source Terms ◽  
Schwarzschild Black Hole ◽  
Spectral Collocation ◽  
Singular Source

The inhomogeneous Zerilli equation is solved in time-domain numerically with the Chebyshev spectral collocation method to investigate a radial-infall of the point particle towards a Schwarzschild black hole. Singular source terms due to the point particle appear in the equation in the form of the Dirac δ-function and its derivative. For the approximation of singular source terms, we use the direct derivative projection method proposed in Ref. 9 without any regularization. The gravitational waveforms are evaluated as a function of time. We compare the results of the spectral collocation method with those of the explicit second-order central-difference method. The numerical results show that the spectral collocation approximation with the direct projection method is accurate and converges rapidly when compared with the finite-difference method.

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