Gravitational Radiation Energy. From Radial In-fall Into Schwarzschild and Kerr Geometries. Project for Physics 879, Professor A. Buonanno, University of Maryland, 15 May 2006 M. A. Chesney. Motivation. Radial in-fall simplifies calculations tremendously
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Gravitational Radiation Energy
From Radial In-fall Into Schwarzschild and Kerr Geometries
Project for Physics 879, Professor A. Buonanno, University of Maryland, 15 May 2006
M. A. Chesney
Solving the differential equation, setting Rs = 2 G M / c2, and z[tmax] = R
Given the energy output and the Mass Quadrupole Moment
We integrate from -infinity to tmax and get
Setting R = Rs the prediction is 0.019 m c2 (m / M)
The above result is about twice the value predicted when the background curved spacetime is taken into account.
See Animation for a hint as to why***