Spherically symmetric scalar field collapse in any dimension

Abstract

We describe a formalism and numerical approach for studying spherically symmetric scalar field collapse for arbitrary spacetime dimension d and cosmological constant Lambda. The presciption uses a double null formalism, and is based on field redefinitions first used to simplify the field equations in generic two-dimensional dilaton gravity. The formalism is used to construct code in which d and Lambda are input parameters. The code reproduces known results in d = 4 and d = 6 with Lambda = 0. We present new results for d = 5 with zero and negative Lambda.

16 pages, 6 figures, typos corrected, presentational changes, PRD in press

References in corpus (1)

• Numerical Relativity: A review

Cited by in corpus (24)

• Critical phenomena in gravitational collapse
• Critical phenomena in gravitational collapse (Physics Reports)
• Strong coupling isotropization of non-Abelian plasmas simplified
• Final fate of spherically symmetric gravitational collapse of a dust cloud in Einstein-Gauss-Bonnet gravity
• Simulation of Asymptotically AdS5 Spacetimes with a Generalized Harmonic Evolution Scheme
• On Choptuik's scaling in higher dimensions
• Dimension-Dependence of the Critical Exponent in Spherically Symmetric Gravitational Collapse
• Scalar field critical collapse in 2+1 dimensions
• Critical Collapse in the Axion-Dilaton System in Diverse Dimensions
• On Perturbation Theory and Critical Exponents for Self-Similar Systems
• The 5-D Choptuik critical exponent and holography
• On Critical Exponents for Self-Similar Collapse
• Summation by parts methods for the spherical harmonic decomposition of the wave equation in arbitrary dimensions
• On Higher Dimensional Self-Similar Axion-Dilaton Solutions
• Nonlinear Statistical Spline Smoothers for Critical Spherical Black Hole Solutions in 4-dimension
• Analysis of Black Hole Solutions in Parabolic Class Using Neural Networks
• Higher Dimensional Choptuik Scaling in Painleve Gullstrand Coordinates
• A Partially Gauged Fixed Hamiltonian for Scalar Field Collapse
• Unveiling horizons in quantum critical collapse
• Estimation of Critical Collapse Solutions to Black Holes with Nonlinear Statistical Models
• Modeling the complexity of Elliptic Black Hole Solution In 4D Using Hamiltonian Monte Carlo with Stacked Neural Networks
• Black Hole Formation in Lovelock Gravity
• Sequential Monte Carlo with Cross-validated Neural Networks for Complexity of Hyperbolic Black Hole Solutions in 4D
• Neural Networks Assisted Metropolis-Hastings for Bayesian Estimation of Critical Exponent on Elliptic Black Hole Solution in 4D Using Quantum Perturbation Theory