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 2.5 post-Newtonian order, with lower computational costs than fully relativistic simulations.
Post-Newtonian approach to black hole-fluid systems / Barausse, E; Lehner, L. - In: PHYSICAL REVIEW D, PARTICLES, FIELDS, GRAVITATION, AND COSMOLOGY. - ISSN 1550-7998. - 88:2(2013), pp. 1-14. [10.1103/PhysRevD.88.024029]
Post-Newtonian approach to black hole-fluid systems
Barausse E;
2013-01-01
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 2.5 post-Newtonian order, with lower computational costs than fully relativistic simulations.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.