BSSN in Spherical Symmetry

Abstract

The BSSN (Baumgarte-Shapiro-Shibata-Nakamura) formulation of the Einstein evolution equations is written in spherical symmetry. These equations can be used to address a number of technical and conceptual issues in numerical relativity in the context of a single Schwarzschild black hole. One of the benefits of spherical symmetry is that the numerical grid points can be tracked on a Kruskal--Szekeres diagram. Boundary conditions suitable for puncture evolution of a Schwarzschild black hole are presented. Several results are shown for puncture evolution using a fourth--order finite difference implementation of the equations.

This is the final version to be published in CQG. It contains much more information and detail than the original version

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Cited by in corpus (26)

• Turduckening black holes: an analytical and computational study
• Covariant formulations of BSSN and the standard gauge
• Constraint damping for the Z4c formulation of general relativity
• Exploring New Physics Frontiers Through Numerical Relativity
• Parasitic black holes: the swallowing of a fuzzy dark matter soliton
• Discontinuous Galerkin method for the spherically reduced BSSN system with second-order operators
• Numerical simulations with a first order BSSN formulation of Einstein's field equations
• Accretion of phantom scalar field into a black hole
• Gravitational collapse and topology change in spherically symmetric dynamical systems
• Spherical symmetry as a test case for unconstrained hyperboloidal evolution II: gauge conditions
• Probing the puncture for black hole simulations
• Stability of the puncture method with a generalized BSSN formulation
• Unconstrained hyperboloidal evolution of black holes in spherical symmetry with GBSSN and Z4c
• Spherically symmetric black hole spacetimes on hyperboloidal slices
• A spectral method algorithm for numerical simulations of gravitational fields
• Height-function-based 4D reference metrics for hyperboloidal evolution
• Conformal diagrams for stationary and dynamical strong-field hyperboloidal slices
• Covariant BSSN formulation in bimetric relativity
• Hyperbolic formulations of General Relativity with Hamiltonian structure
• The mean gauges in bimetric relativity
• Accretion of a Phantom Scalar Field by a Black Hole: restrictions on the field distribution
• Free Hyperboloidal Evolution of the Einstein-Maxwell-Klein-Gordon System
• Numerical solutions for the $f(R)$-Klein-Gordon system
• Multi-horizon and Critical Behavior in Gravitational Collapse of Massless Scalar
• Frequency shift of light emitted from growing and shrinking black holes
• Aliasing Instabilities in the Numerical Evolution of the Einstein Field Equations