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Comparing an analytical spacetime metric for a merging binary to a fully nonlinear numerical evolution using curvature scalars
By Jam Sadiq, Yosef Zlochower, and Hiroyuki Nakano
Published in Physical Review D 97, 084007 (Wednesday, April 4, 2018)


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.

CCRG Authors

Zlochower, Yosef