Relativistic radiation hydrodynamics in a reference-metric formulation

Thomas W. Baumgarte, Stuart L. Shapiro

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish (US)
Article number104001
JournalPhysical Review D
Issue number10
StatePublished - Nov 3 2020

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)


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