Rotating star initial data for a constrained scheme in numerical relativity

Abstract

A new numerical code for computing stationary axisymmetric rapidly rotating stars in general relativity is presented. The formulation is based on a fully constrained-evolution scheme for 3+1 numerical relativity using the Dirac gauge and maximal slicing. We use both the polytropic and MIT bag model equations of state to demonstrate that the code can construct rapidly rotating neutron star and strange star models. We compare numerical models obtained by our code and a well-established code, which uses a different gauge condition, and show that the two codes agree to high accuracy.

Minor changes and one figure added. Version accepted for publication in Class. Quant. Grav

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Cited by in corpus (14)

• Spectral Methods for Numerical Relativity
• Rotating Stars in Relativity
• Improved constrained scheme for the Einstein equations: An approach to the uniqueness issue
• An extended equation of state for core-collapse simulations
• Non-conformally flat initial data for binary compact objects
• 3+1 geodesic equation and images in numerical spacetimes
• Gravitational waves in dynamical spacetimes with matter content in the Fully Constrained Formulation
• Excised black hole spacetimes: quasi-local horizon formalism applied to the Kerr example
• Complete initial value spacetimes containing black holes in general relativity: Application to black hole-disk systems
• Maximal slicings in spherical symmetry: local existence and construction
• A new formulation of general-relativistic hydrodynamic equations using primitive variables
• ROXAS: a new pseudospectral non-linear code for general relativistic oscillations of fast rotating isolated neutron stars
• Wahlquist's metric versus an approximate solution with the same equation of state
• On the local existence of maximal slicings in spherically symmetric spacetimes