## Abstract

We include matter sources in Einstein's field equations and show that our recently proposed 3+1 evolution scheme can stably evolve strong-field solutions. We insert in our code known matter solutions, namely the Oppenheimer-Volkoff solution for a static star and the Oppenheimer-Snyder solution for homogeneous dust sphere collapse to a black hole, and evolve the gravitational field equations. We find that we can evolve stably static, strong-field stars for arbitrarily long times and can follow dust sphere collapse accurately well past black hole formation. These tests are useful diagnostics for fully self-consistent, stable hydrodynamical simulations in 3+1 general relativity. Moreover, they suggest a successive approximation scheme for determining gravitational waveforms from strong-field sources dominated by longitudinal fields, such as binary neutron stars: approximate quasi-equilibrium models can serve as sources for the transverse field equations, which can be evolved without having to re-solve the hydrodynamical equations ("hydro without hydro").

Original language | English (US) |
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Article number | 087501 |

Pages (from-to) | 1-4 |

Number of pages | 4 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 60 |

Issue number | 8 |

State | Published - Oct 15 1999 |

## ASJC Scopus subject areas

- Physics and Astronomy (miscellaneous)