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Self-interaction spin effects in inspiralling compact binaries

Balázs Mikóczi·Mátyás Vasúth·László Á. Gergely
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Abstract

Gravitational radiation drives compact binaries through an inspiral phase towards a final coalescence. For binaries with\textit{spin, mass quadrupole and magnetic dipole moments}, various contributions add to this process, which is characterized by the rate of increase $df/dt$ of the gravitational wave frequency and the accumulated number $\mathcal{N}$ of gravitational wave cycles. We present here all contributions to $df/dt$ and $% \mathcal{N}$ up to the second post-Newtonian order. Among them we give for the first time the contributions due to the \textit{self-interaction of individual spins}. These are shown to be commensurable with the proper spin-spin contributions for the recently discovered J0737-3039 double pulsar, and argued to represent the first corrections to the radiation reaction in the Lense-Thirring approach.

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Balázs Mikóczi, Mátyás Vasúth, László Á. Gergely. 2005-07-04. Self-interaction spin effects in inspiralling compact binaries. https://doi.org/10.1103/physrevd.71.124043

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