2018/02/28 by J. Sadiq, Jam Sadiq, Yosef Zlochower +1
Mathematics · Physics and Astronomy · #Astrophysical Phenomena and Observations #Binary number #Classical mechanics #Cosmology and Gravitation Theories #Curvature #Einstein #General relativity #Geodesic #Geometry #Invariant (physics) #Mathematical analysis #Mathematical physics #Mathematics #Metric (unit) #Nonlinear system #Numerical relativity #Physics #Pulsars and Gravitational Waves Research #Quantum mechanics #Spacetime #Theoretical physics #astro-ph.HE #gr-qc
paper · pdf · doi:10.1103/physrevd.97.084007
published as Phys. Rev. D 97, 084007 (2018) · version accepted to PRD
openalex created_date 2018/02/23 · arxiv created 2018/03/28 · openalex publication_date 2018/04/04 · arxiv updated 2018/04/11 · openalex updated_date 2026/08/06
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.