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arXiv · 1501.02104

Virial tests for post-Newtonian stationary black-hole-disk systems

Piotr Jaranowski·Patryk Mach·Edward Malec·Michal Pirog
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Abstract

We investigated hydrodynamical post-Newtonian models of selfgravitating stationary black-hole-disk systems. The post-Newtonian scheme presented here and also in our recent paper is a continuation of previous, purely Newtonian studies of selfgravitating hydrodynamical disks rotating according to the Keplerian rotation law. The post-Newtonian relativistic corrections are significant even at the 1PN level. The 1PN correction to the angular velocity can be of the order of 10% of its Newtonian value. It can be expressed as a combination of geometric and hydrodynamical terms. Moreover, in contrast to the Newtonian Poincare-Wavre theorem, it depends both on the distance from the rotation axis and the distance from the equatorial plane.

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Piotr Jaranowski, Patryk Mach, Edward Malec, Michal Pirog. 2015-01-09. Virial tests for post-Newtonian stationary black-hole-disk systems. https://doi.org/10.1088/1742-6596%2F600%2F1%2F012011

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