Orbital spin dynamics of a millisecond pulsar around a massive black hole with an general mass quadrupole

Abstract

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.

arXiv comment11 pages, 11 figures, accepted for publication in MNRAS

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• Astrophysics with the Laser Interferometer Space Antenna
• RelativisticDynamics.jl: Relativistic Spin-Orbital Dynamics in Julia