中科院数学与系统科学研究院

数学研究所

学术报告

数学物理研讨班

报告人：何孝凯（湖南第一师范学院）   
题  目：Self-consistent EOB theory for spinless binaries based on PM approximation: decoupled  gravitational perturbations equations
时  间：2022.05.27（星期五）下午19:00-20:00
地  点：腾讯会议  814 626 084
摘  要：To build a self-consistent effective-one-body (EOB) theory, in which the Hamiltonian, radiation-reaction force and waveform for the "plus" and "cross" modes of the gravitational wave should be based on the same effective background spacetime, the key step is to look for the decoupled equation, which seems a very difficult task because there are non-vanishing tetrad components of the tracefree Ricci tensor for such spacetime. Fortunately, based on an effective spacetime obtained in this paper by using the post-Minkowskian (PM) approximation, we find the decoupled equation for $ψ_4$ by dividing the perturbation part of the metric into the odd and even parities. With the effective metric and decoupled equation at hand, we set up a frame of self-consistent EOB model for spinless binaries.