Gravitational radiation from slowly rotating collapse - an exact Green function

Details Gravitational radiation from slowly rotating collapse - an exact Green function Gravitational radiation from slowly rotating collapse - an exact Green function

Sep 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980apj...240..648g&link_type=abstract

Astrophysical Journal, Part 1, vol. 240, Sept. 1, 1980, p. 648-657.

Astronomy and Astrophysics

Astrophysics

4

Gravitational Collapse, Gravitational Waves, Green'S Functions, Relativity, Stellar Rotation, Angular Velocity, Schwarzschild Metric, Space-Time Functions

Scientific paper

The production of gravitational radiation by pressureless, axisymmetric, slowly rotating bodies is analyzed within general relativity. The calculation is carried out at first order in the angular velocity, in which case the density remains spherically symmetric, but with arbitrary initial radial structure. A Green function is obtained which relates the radiation received far from the star to boundary conditions on the surface of the star. It is found that at late times, the Green function is dominated by a few quasi-normal modes of the Schwarzschild geometry.

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