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.
|Titolo:||Post-Newtonian approach to black hole-fluid systems|
|Autori:||Barausse, E; Lehner, L|
|Data di pubblicazione:||2013|
|Numero di Articolo:||024029|
|Digital Object Identifier (DOI):||10.1103/PhysRevD.88.024029|
|Appare nelle tipologie:||1.1 Journal article|