P. Laguna et A. Wolszczan, PULSE ARRIVAL TIMES FROM BINARY PULSARS WITH ROTATING BLACK-HOLE COMPANIONS, The Astrophysical journal, 486(1), 1997, pp. 27-29
We present a study of the gravitational time delay of arrival of signa
ls from binary pulsar systems with rotating black hole companions. In
particular, Eve investigate the strength of this effect (Shapiro delay
) as a function of the inclination, eccentricity, and period of the or
bit, as well as the mass and angular momentum of the black hole. This
study is based on direct numerical integration of null geodesics in a
Kerr background geometry. We find that, for binaries with sufficiently
high orbital inclinations (>89 degrees) and compact companion masses
greater than 10 M., the effect arising from the rotation of the black
hole in the system amounts to a microsecond-level variation of the arr
ival times of the pulsar purses. If measurable, this variation could p
rovide a unique signature for the presence of a rotating black hole in
a binary pulsar system.