The remains of a spinning, hyperbolic encounter

10th International LISA Symposium

De Vittori, L.^1 ; Gopakumar, A.^2 ; Gupta, A.^2 ; Jetzer, P.^1

Physik-Institut, Universität Zürich, Zürich

8057, Switzerland^1

Department of Astrophysics, Tata Institute of Fundamental Research, Mumbai, India^2

关键词: Amplitude correction;    Memory effects;    Newtonians;    Parametrizations;    Polarization state;    SIMPLE method;    Spin orbit interactions;    Temporal evolution;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/610/1/012048/pdf
DOI  :  10.1088/1742-6596/610/1/012048

来源: IOP

【 摘 要 】

We review a recently proposed approach to construct gravitational wave (GW) polarization states of unbound spinning compact binaries. Through this rather simple method, we are able to include corrections due to the dominant order spin-orbit interactions, in the quadrupolar approximation and in a semi-analytic way. We invoke the 1.5 post-Newtonian (PN) accurate quasi-Keplerian parametrization for the radial part of the dynamics and impose its temporal evolution in the PN accurate polarization states equations. Further, we compute 1PN accurate amplitude corrections for the polarization states of non-spinning compact binaries on hyperbolic orbits. As an interesting application, we perform comparisons with previously available results for both the GW signals in the case of non-spinning binaries and the theoretical prediction for the amplitude of the memory effect on the metric after the hyperbolic passage.