A new tool to check the accuracy of Analytic Spacetimes for binary black holes

ORAL

Abstract

~Analytical spacetimes are an important and useful tool to study dynamics of binary compact objects and many astrophysically important phenomenon associated with them.~~Here we describe a new tool to measure the accuracy of these spacetimes by directly comparing the geodesic structure of~ a family of analytical spacetime with counterparts constructed using full numerical relativity simulations Our idea is to construct coordinate independent scalars by contracting the components of Riemann tensor with the combination of a set of four orthonormal vectors associated with geodesics. By comparing the coordinate independent scalars during evolution we measure how much the analytical spacetimes are similar to more accurate known solution that is the numerical one. I will present some preliminary tests using these techniques.We hope this tool is useful to find limitations of analytical spacetimes.

Authors

  • Jam Sadiq

    Rochester Inst of Tech

  • Yosef Zlochower

    Rochester Institute of Technology, Rochester Inst of Tech

  • Hiroyuki Nakano

    Ryukoku Univerity Kyoto Japan