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- W4236070637 abstract "In the first part of the paper we construct the metric of a tidally deformed, nonrotating black hole. The metric is presented as an expansion in powers of $r/bensuremath{ll}1$, in which $r$ is the distance to the black hole and $b$ the characteristic length scale of the tidal field---the typical distance to the remote bodies responsible for the tidal environment. The metric is expanded through order $(r/b{)}^{4}$ and written in terms of a number of tidal multipole moments, the gravitoelectric moments ${mathcal{E}}_{ab}$, ${mathcal{E}}_{abc}$, ${mathcal{E}}_{abcd}$, and the gravitomagnetic moments ${mathcal{B}}_{ab}$, ${mathcal{B}}_{abc}$, ${mathcal{B}}_{abcd}$. It differs from the similar construction of Poisson and Vlasov in that the tidal perturbation is presented in Regge-Wheeler gauge instead of the light-cone gauge employed previously. In the second part of the paper we determine the tidal moments by matching the black-hole metric to a post-Newtonian metric that describes a system of bodies with weak mutual gravity. This extends the previous work of Taylor and Poisson (Paper I in this sequence), which computed only the leading-order tidal moments, ${mathcal{E}}_{ab}$ and ${mathcal{B}}_{ab}$. The matching is greatly facilitated by the Regge-Wheeler form of the black-hole metric, and this motivates the work carried out in the first part of the paper. The tidal moments are calculated accurately through the first post-Newtonian approximation, and at this order they are independent of the precise nature of the compact body. The moments therefore apply equally well to a rotating black hole, or to a (rotating or nonrotating) neutron star. As an application of this formalism, we examine the intrinsic geometry of a tidally deformed event horizon and describe it in terms of a deformation function that represents a quadrupolar and octupolar tidal bulge." @default.
- W4236070637 created "2022-05-12" @default.
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- W4236070637 date "2018-06-20" @default.
- W4236070637 modified "2023-09-27" @default.
- W4236070637 title "Nonrotating black hole in a post-Newtonian tidal environment. II." @default.
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- W4236070637 doi "https://doi.org/10.1103/physrevd.97.124048" @default.
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