Falloff of the Weyl scalars in binary black hole spacetimes
arXiv:1105.0781 · doi:10.1103/PhysRevD.84.024036
Abstract
The peeling theorem of general relativity predicts that the Weyl curvature scalars Psi_n (n=0...4), when constructed from a suitable null tetrad in an asymptotically flat spacetime, fall off asymptotically as r^(n-5) along outgoing radial null geodesics. This leads to the interpretation of Psi_4 as outgoing gravitational radiation at large distances from the source. We have performed numerical simulations in full general relativity of a binary black hole inspiral and merger, and have computed the Weyl scalars in the standard tetrad used in numerical relativity. In contrast with previous results, we observe that all the Weyl scalars fall off according to the predictions of the theorem.
7 pages, 3 figures, published version
References in corpus (10)
- Spin Flips and Precession in Black-Hole-Binary Mergers
- Introduction to dynamical horizons in numerical relativity
- Spin-orbit interactions in black-hole binaries
- Present status of the Penrose inequality
- An explicit harmonic code for black-hole evolution using excision
- Numerical relativity for D dimensional space-times: head-on collisions of black holes and gravitational wave extraction
- Dealing with delicate issues in waveforms calculations
- Improved outer boundary conditions for Einstein's field equations
- Head-on collisions of unequal mass black holes in D=5 dimensions
- Revisiting Event Horizon Finders
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