A Post-Newtonian approach to black hole-fluid systems

Abstract

This work devises a formalism to obtain the equations of motion for a black hole-fluid configuration. Our approach is based on a Post-Newtonian expansion and adapted to scenarios where obtaining the relevant dynamics requires long time-scale evolutions. These systems are typically studied with Newtonian approaches, which have the advantage that larger time-steps can be employed than in full general-relativistic simulations, but have the downside that important physical effects are not accounted for. The formalism presented here provides a relatively straightforward way to incorporate those effects in existing implementations, up to 2.5PN order, with lower computational costs than fully relativistic simulations.

14 pages, 2 figures. Version resubmitted to PRD with minor revisions in response to referee report

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Cited by in corpus (6)

• Cosmological Backgrounds of Gravitational Waves
• Numerical Relativity and Astrophysics
• Post-Newtonian constraints on Lorentz-violating gravity theories with a MOND phenomenology
• Newtonian View of General Relativistic Stars
• The relation between general relativity and a class of Hořava gravity theories
• The physics of gravitational waves