scholarly journals r-mode instability: Analytical solution with gravitational radiation reaction

2005 ◽  
Vol 72 (2) ◽  
Author(s):  
Óscar J. C. Dias ◽  
Paulo M. Sá
Keyword(s):  
Analytical Solution ◽  
Gravitational Radiation ◽  
Radiation Reaction ◽  
Mode Instability

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.

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.

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