The Imposition of Cauchy Data to the Teukolsky Equation

Astronomy and Astrophysics – Astrophysics

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

Scientific paper

We solve the problem of expressing the Weyl scalars psi that describe gravitational perturbations of a Kerr black hole in terms of Cauchy data. To do so we use geometrical identities (like the Gauss-Codazzi relations) as well as Einstein equations. We are able to explicitly express psi and partial_t psi as functions only of the extrinsic curvature and the three-metric (and geometrical objects built out of it) of a generic spacelike slice of the spacetime. These results provide the link between initial data and psi to be evolved by the Teukolsky equation, and can be used to compute the gravitational radiation generated by two orbiting black holes in the close limit approximation. They can also be used to extract waveforms from spacetimes completely generated by numerical methods.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

The Imposition of Cauchy Data to the Teukolsky Equation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The Imposition of Cauchy Data to the Teukolsky Equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Imposition of Cauchy Data to the Teukolsky Equation will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-769593

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.