Relativistic radiation hydrodynamics in a reference-metric formulation

Abstract

We adopt a two-moment formalism, together with a reference-metric approach, to express the equations of relativistic radiation hydrodynamics in a form that is well-suited for numerical implementations in curvilinear coordinates. We illustrate the approach by employing a gray opacity in an optically thick medium. As numerical demonstrations we present results for two test problems, namely stationary, slab-symmetric solutions in flat spacetimes, including shocks, and heated Oppenheimer-Snyder collapse to a black hole. For the latter, we carefully analyze the transition from an initial transient to a post-transient phase that is well described by an analytically-known diffusion solution. We discuss the properties of the numerical solution when rendered in moving-puncture coordinates.

15 pages, 7 figures

References in corpus (17)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• GW170817: Joint Constraint on the Neutron Star Equation of State from Multimessenger Observations
• Modeling GW170817 based on numerical relativity and its implications
• Truncated Moment Formalism for Radiation Hydrodynamics in Numerical Relativity
• Simulating coalescing compact binaries by a new code SACRA
• Semi-implicit scheme for treating radiation under M1 closure in general relativistic conservative fluid dynamics codes
• A constrained scheme for Einstein equations based on Dirac gauge and spherical coordinates
• General relativistic simulations of compact binary mergers as engines of short gamma-ray bursts
• First 100 ms of a long-lived magnetized neutron star formed in a binary neutron star merger
• Covariant formulations of BSSN and the standard gauge
• Relativistic Radiation Magnetohydrodynamics in Dynamical Spacetimes: Numerical Methods and Tests
• Monte-Carlo closure for moment-based transport schemes in general relativistic radiation hydrodynamics simulations
• The trumpet solution from spherical gravitational collapse with puncture gauges
• Numerical relativity in spherical coordinates: A new dynamical spacetime and general relativistic MHD evolution framework for the Einstein Toolkit
• Two-moment scheme for general-relativistic radiation hydrodynamics: a systematic description and new applications
• Numerical Relativity in Spherical Polar Coordinates: Off-center Simulations
• Critical phenomena in the gravitational collapse of electromagnetic waves

Cited by in corpus (6)

• Jet Launching from Binary Neutron Star Mergers: Incorporating Neutrino Transport and Magnetic Fields
• General-relativistic radiation transport scheme in $\text{Gmunu}$ I: Implementation of two-moment based multi-frequency radiative transfer and code tests
• Energy-dependent and energy-integrated two-moment general-relativistic neutrino transport simulations of hypermassive neutron star
• First-Order Viscous Relativistic Hydrodynamics on the Two-Sphere
• Toward First-Principles Multi-Messenger Predictions: Coupling Nuclear Networks with GR Radiation-MHD in {\tt Gmunu}
• Stable long-term evolution in numerical relativity