http://arxiv.org/abs/1802.02990
We introduce a new geometrically invariant prescription for comparing two different spacetimes based on geodesic deviation. We use this method to compare a family of recently introduced analytical spacetime representing inspiraling black-hole binaries to fully nonlinear numerical solutions to the Einstein equations. Our method can be used to improve analytical spacetime models by providing a local measure of the effects that violations of the Einstein equations will have on timelike geodesics, and indirectly, gas dynamics. We also discuss the advantages and limitations of this method.
J. Sadiq, Y. Zlochower and H. Nakano
Fri, 9 Feb 18
53/57
Comments: 14 pages, 12 figures, revtex4-1
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