Relativistic periastron shift and orbital period in a star-black-hole binary system

Astronomy and Astrophysics – Astronomy

Scientific paper

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Black Holes, Astrometric And Interferometric Binaries

Scientific paper

Using a general relativistic framework we have obtained closed form solutions useful to calculate the relativistic periastron shift and orbital period in star-black-hole binary systems. These analytical solutions valid in weak and strong gravitational fields do not neglect possible relativistic rotational effects due to spin-orbit interactions. Our numerical results suggest that the spin-orbit interaction diminishes (increases) the value of the periastron shift as well as the orbital period when the star orbits in the same (opposite) direction as the rotating black hole.

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