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Collapse of a Magnetized Star to a Black Hole
Thomas W. Baumgarte, Stuart L. Shapiro
We study of the collapse of a magnetized spherical star to a black hole in general relativity theory. The matter and gravitational fields are described by the exact Oppenheimer-Sny…
Numerical Relativity and Compact Binaries
Thomas W. Baumgarte, Stuart L. Shapiro
Numerical relativity is the most promising tool for theoretically modeling the inspiral and coalescence of neutron star and black hole binaries, which, in turn, are among the most…
Comparing Criteria for Circular Orbits in General Relativity
Monica L. Skoge, Thomas W. Baumgarte
We study a simple analytic solution to Einstein's field equations describing a thin spherical shell consisting of collisionless particles in circular orbit. We then apply two indep…
Effects of Differential Rotation on the Maximum Mass of Neutron Stars
Nicholas D. Lyford, Thomas W. Baumgarte, Stuart L. Shapiro
The merger of binary neutron stars is likely to lead to differentially rotating remnants. In this paper we numerically construct models of differentially rotating neutron stars in…
Hydrodynamic Simulations in 3+1 General Relativity
Matthew D. Duez, Pedro Marronetti, Stuart L. Shapiro +1
We solve Einstein's field equations coupled to relativistic hydrodynamics in full 3+1 general relativity to evolve astrophysical systems characterized by strong gravitational field…
Improved numerical stability of stationary black hole evolution calculations
Hwei-Jang Yo, Thomas W. Baumgarte, Stuart L. Shapiro
We experiment with modifications of the BSSN form of the Einstein field equations (a reformulation of the ADM equations) and demonstrate how these modifications affect the stabilit…
Collapse of a Rotating Supermassive Star to a Supermassive Black Hole: Post-Newtonian Simulations
Motoyuki Saijo, Thomas W. Baumgarte, Stuart L. Shapiro +1
We study the gravitational collapse of a rotating supermassive star (SMS) by means of a (3+1) hydrodynamical simulation in a post-Newtonian (PN) approxi- mation of general relativi…
Illustrating Stability Properties of Numerical Relativity in Electrodynamics
A. M. Knapp, E. J. Walker, T. W. Baumgarte
We show that a reformulation of the ADM equations in general relativity, which has dramatically improved the stability properties of numerical implementations, has a direct analogu…