Orbital spin dynamics of a millisecond pulsar around a massive black hole with an general mass quadrupole. (arXiv:2007.05219v1 [astro-ph.HE])
<a href="http://arxiv.org/find/astro-ph/1/au:+Kimpson_T/0/1/0/all/0/1">Tom Kimpson</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Wu_K/0/1/0/all/0/1">Kinwah Wu</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Zane_S/0/1/0/all/0/1">Silvia Zane</a>

We investigate the spin dynamics of a millisecond pulsar (MSP) in compact
orbit around a Kerr-like massive black hole with an general mass quadrupole. We
use the Mathisson-Papetrou-Dixon formulation to compute the orbital and spin
evolution of the MSP, accounting for the non-linear interaction of the pulsar’s
energy-momentum tensor on the background spacetime metric. We investigate how
the MSP spin and BH quadrupole moment manifest in the pulsar spin-orbital
dynamics. We discuss the astrophysical observational implications of these spin
and orbital dynamics on the timing of a radio pulsar in an Extreme Mass Ratio
Binary, e.g. a Galactic Centre pulsar. In particular, notable timing variations
in the Einstein delay and Roemer delay are observed, along with modifications
to the pulsar pulse profile.

We investigate the spin dynamics of a millisecond pulsar (MSP) in compact
orbit around a Kerr-like massive black hole with an general mass quadrupole. We
use the Mathisson-Papetrou-Dixon formulation to compute the orbital and spin
evolution of the MSP, accounting for the non-linear interaction of the pulsar’s
energy-momentum tensor on the background spacetime metric. We investigate how
the MSP spin and BH quadrupole moment manifest in the pulsar spin-orbital
dynamics. We discuss the astrophysical observational implications of these spin
and orbital dynamics on the timing of a radio pulsar in an Extreme Mass Ratio
Binary, e.g. a Galactic Centre pulsar. In particular, notable timing variations
in the Einstein delay and Roemer delay are observed, along with modifications
to the pulsar pulse profile.

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