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2018

Nonrotating black hole in a post-Newtonian tidal environment II

Poisson, Eric, Corrigan, Eamonn

Understand

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/b << 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 E_{ab}, E_{abc}, E_{abcd} and the gravitomagnetic moments B_{ab}, B_{abc}, 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.