Equation of motion with gravitational radiation

2014 ◽  
Vol 23 (12) ◽  
pp. 1442010
Author(s):  
Richard T. Hammond
Keyword(s):  
Gravitational Radiation ◽  
Minkowski Spacetime ◽  
Radiation Reaction ◽  
Equation Of Motion ◽  
Electrodynamic Problem ◽  
New Approach ◽  
Successful Solution

A new approach to gravitational radiation reaction is developed which is generalized from a successful solution to the electrodynamic problem in Minkowski spacetime.

A Covariant Semi-Classical Theory of the Radiating Electron

1977 ◽  
Vol 32 (1) ◽  
pp. 101-102
Author(s):  
M. Sorg
Keyword(s):  
Classical Theory ◽  
Characteristic Length ◽  
Order Approximation ◽  
Classical Equation ◽  
Radiation Reaction ◽  
Equation Of Motion ◽  
Compton Wavelength ◽  
Classical Electron ◽  
Electron Radius ◽  
Classical Electron Radius

Abstract A new semi-classical equation of motion is suggested for the radiating electron. The characteristic length of the new theory is the Compton wavelength λc(= ħ/2 m c) instead of the classical electron radius which is used in all purely classical theories of the radiating electron. However, the lowest order approximation of the radiation reaction contains only the classical radius rc.

Approximation methods in gravitational-radiation theory

1986 ◽  
Vol 64 (2) ◽  
pp. 140-145 ◽  
Author(s):  
Clifford M. Will
Keyword(s):  
Gravitational Radiation ◽  
Normal Modes ◽  
Slow Motion ◽  
Radiation Reaction ◽  
Weak Field ◽  
Approximation Methods ◽  
Binary Pulsar ◽  
Radiation Theory ◽  
Recent Developments ◽  
Reaction Forces

The observation of gravitational-radiation damping in the binary pulsar PSR 1913 + 16 and the ongoing experimental search for gravitational waves of extraterrestrial origin have made the theory of gravitational radiation an active branch of classical general relativity. In calculations of gravitational radiation, approximation methods play a crucial role. We summarize recent developments in two areas in which approximations are important: (a) the quadrupole approximation, which determines the energy flux and the radiation reaction forces in weak-field, slow-motion, source-within-the-near-zone systems such as the binary pulsar; and (b) the normal modes of oscillation of black holes, where the Wentzel–Kramers–Brillouin approximation gives accurate estimates of the complex frequencies of the modes.

scholarly journals Gravitational radiation reaction for bound motion around a Schwarzschild black hole

1994 ◽  
Vol 50 (6) ◽  
pp. 3816-3835 ◽  
Author(s):  
Curt Cutler ◽  
Daniel Kennefick ◽  
Eric Poisson
Keyword(s):  
Black Hole ◽  
Gravitational Radiation ◽  
Radiation Reaction ◽  
Schwarzschild Black Hole
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