scholarly journals First-order perturbative Hamiltonian equations of motion for a point particle orbiting a Schwarzschild black hole

2014 ◽  
Vol 89 (10) ◽  
Author(s):  
Huan Yang ◽  
Haixing Miao ◽  
Yanbei Chen
Keyword(s):  
Black Hole ◽  
Equations Of Motion ◽  
Point Particle ◽  
Schwarzschild Black Hole ◽  
Hamiltonian Equations ◽  
First Order

scholarly journals The (A)symmetry between the Exterior and Interior of a Schwarzschild Black Hole

2018 ◽  
Author(s):  
Pawel Gusin ◽  
Andy Augousti ◽  
Filip Formalik ◽  
Andrzej Radosz
Keyword(s):  
Black Hole ◽  
Event Horizon ◽  
Equations Of Motion ◽  
Coordinate Systems ◽  
Schwarzschild Black Hole ◽  
Schwarzschild Spacetime ◽  
The Relationship

A black hole in a Schwarzschild spacetime is considered. A transformation is proposed that describes the relationship between the coordinate systems exterior and interior to an event horizon. Application of this transformation permits considerations of the (a)symmetry of a range of phenomena taking place on both sides of the event horizon. The paper investigates two distinct problems of a uniformly accelerated particle. In one of these, although the equations of motion are the same in the regions on both sides, the solutions turn out to be very different. This manifests the differences of the properties of these two ranges.

scholarly journals GRAVITATIONAL CAPTURE OF COSMIC STRINGS BY A BLACK HOLE

1998 ◽  
Vol 07 (06) ◽  
pp. 957-967 ◽  
Author(s):  
JEAN-PIERRE DE VILLIERS ◽  
VALERI FROLOV
Keyword(s):  
Black Hole ◽  
Impact Parameter ◽  
Cosmic String ◽  
Initial Velocity ◽  
Cosmic Strings ◽  
Gravitational Interaction ◽  
Equations Of Motion ◽  
Great Distance ◽  
Schwarzschild Black Hole ◽  
Gravitational Capture

The gravitational interaction of an infinitely long cosmic string with a Schwarzschild black hole is studied. We consider a straight string that is initially at a great distance and moving at some initial velocity v (0 < v < c) towards the black hole. The equations of motion of the string are solved numerically to obtain the dependence of the capture impact parameter on the initial velocity.

scholarly journals Rotating Disc around a Schwarzschild Black Hole

Universe ◽  
2020 ◽  
Vol 6 (2) ◽  
pp. 27 ◽  
Author(s):  
Oldřich Semerák ◽  
Pavel Čížek
Keyword(s):  
Black Hole ◽  
Surface Density ◽  
Schwarzschild Black Hole ◽  
Rotating Disc ◽  
First Order ◽  
Thin Disc ◽  
Thin Ring ◽  
Extended Sources ◽  
The One ◽  
First Order Perturbation

A stationary and axisymmetric (in fact circular) metric is reviewed which describes the first-order perturbation of a Schwarzschild black-hole space-time due to a rotating finite thin disc encircling the hole symmetrically. The key Green functions of the problem (corresponding to an infinitesimally thin ring)—the one for the gravitational potential and the one for the dragging angular velocity—were already derived, in terms of infinite series, by Will in 1974, but we have now put them into closed forms using elliptic integrals. Such forms are more practical for numerical evaluation and for integration in problems involving extended sources. This last point mostly remains difficult, but we illustrate that it may be workable by using the simple case of a finite thin disc with constant Newtonian surface density.

scholarly journals THE EVENT HORIZON OF THE SCHWARZSCHILD BLACK HOLE IN NONCOMMUTATIVE SPACES

2006 ◽  
Vol 15 (07) ◽  
pp. 1113-1117 ◽  
Author(s):  
FOROUGH NASSERI
Keyword(s):  
Black Hole ◽  
Event Horizon ◽  
Lower Limit ◽  
Second Order ◽  
Schwarzschild Black Hole ◽  
Perturbative Calculations ◽  
First Order ◽  
Noncommutative Spaces

The event horizon of the Schwarzschild black hole is obtained in noncommutative spaces up to the second order of perturbative calculations. Because this type of black hole is non-rotating, to the first order there is no effect on the event horizon due to the noncommutativity of space. A lower limit for the noncommutativity parameter is also obtained. As a result, the event horizon in noncommutative spaces is less than the event horizon in commutative spaces.

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.

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