scholarly journals Gravitational self-force corrections to tidal invariants for particles on circular orbits in a Kerr spacetime

2018 ◽  
Vol 98 (6) ◽  
Author(s):  
Donato Bini ◽  
Andrea Geralico
Keyword(s):  
Circular Orbits ◽  
Kerr Spacetime ◽  
Self Force

scholarly journals Gravitational self-force corrections to gyroscope precession along circular orbits in the Kerr spacetime

2018 ◽  
Vol 98 (10) ◽  
Author(s):  
Donato Bini ◽  
Thibault Damour ◽  
Andrea Geralico ◽  
Chris Kavanagh ◽  
Maarten van de Meent
Keyword(s):  
Circular Orbits ◽  
Kerr Spacetime ◽  
Self Force ◽  
Gyroscope Precession

scholarly journals Waves and null congruences in a draining bathtub

2016 ◽  
Vol 25 (09) ◽  
pp. 1641004 ◽  
Author(s):  
David Dempsey ◽  
Sam R. Dolan
Keyword(s):  
Light Cone ◽  
Null Geodesic ◽  
Method Of Lines ◽  
Eikonal Approximation ◽  
Lorentzian Geometry ◽  
Circular Orbits ◽  
Kerr Spacetime ◽  
Frame Dragging ◽  
Klein Gordon ◽  
The Time Domain

We study wave propagation in a draining bathtub: a black hole analogue in fluid mechanics whose perturbations are governed by a Klein–Gordon equation on an effective Lorentzian geometry. Like the Kerr spacetime, the draining bathtub geometry possesses an (effective) horizon, an ergosphere and null circular orbits. We propose here that a ‘pulse’ disturbance may be used to map out the light-cone of the effective geometry. First, we apply the eikonal approximation to elucidate the link between wavefronts, null geodesic congruences and the Raychaudhuri equation. Next, we solve the wave equation numerically in the time domain using the method of lines. Starting with Gaussian initial data, we demonstrate that a pulse will propagate along a null congruence and thus trace out the light-cone of the effective geometry. Our new results reveal features, such as wavefront intersections, frame-dragging, winding and interference effects, that are closely associated with the presence of null circular orbits and the ergosphere.

scholarly journals m-mode regularization scheme for the self-force in Kerr spacetime

2007 ◽  
Vol 76 (12) ◽  
Author(s):  
Leor Barack ◽  
Darren A. Golbourn ◽  
Norichika Sago
Keyword(s):  
The Self ◽  
Regularization Scheme ◽  
Kerr Spacetime ◽  
Self Force

scholarly journals A New Analytical Method for Self-Force Regularization. II: -- Testing the Efficiency for Circular Orbits --

2005 ◽  
Vol 113 (2) ◽  
pp. 283-303 ◽  
Author(s):  
W. Hikida ◽  
S. Jhingan ◽  
H. Nakano ◽  
N. Sago ◽  
M. Sasaki ◽  
...  
Keyword(s):  
Analytical Method ◽  
Circular Orbits ◽  
Self Force

scholarly journals Self-force of a scalar field for circular orbits about a Schwarzschild black hole

2003 ◽  
Vol 67 (10) ◽  
Author(s):  
Steven Detweiler ◽  
Eirini Messaritaki ◽  
Bernard F. Whiting
Keyword(s):  
Black Hole ◽  
Scalar Field ◽  
Schwarzschild Black Hole ◽  
Circular Orbits ◽  
Self Force
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