Consistent perturbative modeling of pseudo-Newtonian core-collapse supernova simulations

Abstract

We write down and apply the linearized fluid and gravitational equations consistent with pseudo-Newtonian simulations, whereby Newtonian hydrodynamics is used with a pseudo-Newtonian monopole and standard Newtonian gravity for higher multipoles. We thereby eliminate the need to use mode function matching to identify the active non-radial modes in pseudo-Newtonian core-collapse supernova simulations, in favor of the less complex and less costly mode frequency matching method. In doing so, we are able to measure appropriate boundary conditions for a mode calculation.

11 pages, 9 figures, 2 tables. Journal submission will be delayed to allow for comments. v2: Added acknowledgement. v3: Published version, aside from style changes made during proofs. More complete context is given with respect to existing literature

References in corpus (4)

• Instability of a stalled accretion shock: evidence for the advective-acoustic cycle
• Supernova Seismology: Gravitational Wave Signatures of Rapidly Rotating Core Collapse
• Dependence of outer boundary condition on protoneutron star asteroseismology with gravitational-wave signatures
• Exploring the relativistic regime with Newtonian hydrodynamics: II. An effective gravitational potential for rapid rotation

Cited by in corpus (10)

• Equation of State Dependence of Gravitational Waves in Core-Collapse Supernovae
• Universal relation for supernova gravitational waves
• Three approaches for the classification of protoneutron star oscillation modes
• Effect of stellar rotation on the development of post-shock instabilities during core-collapse supernovae
• Unveiling the Nature of Gravitational-Wave Emission in Core-collapse Supernovae with Perturbative Analysis
• Core Collapse Supernova Gravitational Wave Sourcing and Characterization based on Three-Dimensional Models
• $g$-mode of neutron stars in pseudo-Newtonian gravity
• Neutron star oscillations in pseudo-Newtonian gravity
• Proto-neutron star oscillations including accretion flows
• Trends in gravitational wave emission in axisymmetric simulations of rotating core-collapse supernovae