Can Schwarzschildean gravitational fields suppress gravitational waves?
arXiv:gr-qc/0103033 · doi:10.1103/PhysRevD.64.044012
Abstract
Gravitational waves in the linear approximation propagate in the Schwarzschild spacetime similarly as electromagnetic waves. A fraction of the radiation scatters off the curvature of the geometry. The energy of the backscattered part of an initially outgoing pulse of the quadrupole gravitational radiation is estimated by compact formulas depending on the initial energy, the Schwarzschild radius, and the location and width of the pulse. The backscatter becomes negligible in the short wavelength regime.
18 pages, Revtex. Added three references; a new comment in Sec. 7; several misprints corrected. To appear in the Phys. Rev. D
References in corpus (9)
- Late-Time Behavior of Stellar Collapse and Explosions: I. Linearized Perturbations
- Measuring gravitational waves from binary black hole coalescences: I. Signal to noise for inspiral, merger, and ringdown
- Late-Time Behavior of Stellar Collapse and Explosions: II. Nonlinear Evolution
- Gravitational-wave tails of tails
- Gauge invariant formalism for second order perturbations of Schwarzschild spacetimes
- Diffusion of the electromagnetic energy due to the backscattering off Schwarzschild geometry
- Spherical scalar waves and gravity - red shift and backscattering
- The Escape of Gravitational Radiation from the Field of Massive Bodies
- Suppression of gravitational radiation