A Parametric Study of the SASI Comparing General Relativistic and Nonrelativistic Treatments

Abstract

We present numerical results from a parameter study of the standing accretion shock instability (SASI), investigating the impact of general relativity (GR) on the dynamics. Using GR hydrodynamics with GR gravity, and nonrelativistic (NR) hydrodynamics with Newtonian gravity, in an idealized model setting, we vary the initial radius of the shock and, by varying its mass and radius in concert, the proto-neutron star (PNS) compactness. We investigate four compactnesses expected in a post-bounce core-collapse supernova (CCSN). We find that GR leads to a longer SASI oscillation period, with ratios between the GR and NR cases as large as 1.29 for the highest-compactness suite. We also find that GR leads to a slower SASI growth rate, with ratios between the GR and NR cases as low as 0.47 for the highest-compactness suite. We discuss implications of our results for CCSN simulations.

21 pages, 11 figures. Updated to match published version

References in corpus (21)

• Array Programming with NumPy
• Three-dimensional core-collapse supernova simulated using a 15 $M_{\odot }$ progenitor
• Instability of a stalled accretion shock: evidence for the advective-acoustic cycle
• Pulsar spins from an instability in the accretion shock of supernovae
• The Role of Turbulence in Neutrino-Driven Core-Collapse Supernova Explosions
• Neutrino-driven supernova of a low-mass iron-core progenitor boosted by three-dimensional turbulent convection
• Hydrodynamics of core-collapse supernovae and their progenitors
• Multidimensional supernova simulations with approximative neutrino transport. II. Convection and the advective-acoustic cycle in the supernova core
• Three-Dimensional Supernova Explosion Simulations of 9-, 10-, 11-, 12-, and 13-M${}_{\odot }$ Stars
• Rotation-supported Neutrino-driven Supernova Explosions in Three Dimensions and the Critical Luminosity Condition
• Three-dimensional Models of Core-collapse Supernovae From Low-mass Progenitors With Implications for Crab
• Gravitational-wave signal of a core-collapse supernova explosion of a 15 Solar mass star
• Effect of Rotation on the Stability of a Stalled Cylindrical Shock and its Consequences for Core-Collapse Supernovae
• Linear growth of spiral SASI modes in core-collapse supernovae
• A 3D Simulation of a Neutrino-Driven Supernova Explosion Aided By Convection and Magnetic Fields
• Stability of the Accretion Flows with Stalled Shocks in Core-Collapse Supernovae
• Effect of stellar rotation on the development of post-shock instabilities during core-collapse supernovae
• Multi-messenger observations of core-collapse supernovae: Exploiting the standing accretion shock instability
• thornado-hydro: a discontinuous Galerkin method for supernova hydrodynamics with nuclear equations of state
• Standing Accretion Shock Instability in the Collapse of a Rotating Stellar Core
• Spherically Symmetric Accretion onto a Compact Object through a Standing Shock: The Effects of General Relativity in the Schwarzschild Geometry