Continuous Self-Similarity and $S$-Duality

Abstract

We study the spherically symmetric collapse of the axion/dilaton system coupled to gravity. We show numerically that the critical solution at the threshold of black hole formation is continuously self-similar. Numerical and analytical arguments both demonstrate that the mass scaling away from criticality has a critical exponent of $\gamma =0.264$.

17 pages, harvmac, six figures uuencoded in separate file

References in corpus (8)

• Observation of critical phenomena and self-similarity in the gravitational collapse of radiation fluid
• Critical behaviour in gravitational collapse of radiation fluid --- A renormalization group (linear perturbation) analysis ---
• Non-Universality of Critical Behaviour in Spherically Symmetric Gravitational Collapse
• The Choptuik spacetime as an eigenvalue problem
• Universal Scaling and Echoing in Gravitational Collapse of a Complex Scalar Field
• Criticality and Bifurcation in the Gravitational Collapse of a Self-Coupled Scalar Field
• Critical Exponents and Stability at the Black Hole Threshold for a Complex Scalar Field
• S-Duality at the Black Hole Threshold in Gravitational Collapse

Cited by in corpus (34)

• Critical phenomena in gravitational collapse
• Numerical Relativity: A review
• Self-Similarity in General Relativity \endtitle
• Critical phenomena in gravitational collapse (Physics Reports)
• Numerical Approaches to Spacetime Singularities
• Understanding critical collapse of a scalar field
• Characteristic Evolution and Matching
• Scaling of curvature in sub-critical gravitational collapse
• Characteristic Evolution and Matching
• Criticality and Bifurcation in the Gravitational Collapse of a Self-Coupled Scalar Field
• Charge scaling and universality in critical collapse
• Adaptive Mesh Refinement for Coupled Elliptic-Hyperbolic Systems
• Particle Creation in the Marginally Bound, Self Similar Collapse of Inhomogeneous Dust
• Characteristic Evolution and Matching
• Critical phenomena of collapsing massless scalar wave packets
• Self-similarity in Einstein-Maxwell-dilaton theories and critical collapse
• Dimensional Dependence of Black Hole Formation in Self-Similar Collapse of Scalar Field
• Numerical Relativity and Inhomogeneous Cosmologies
• Critical Phenomena in the Einstein-Massless-Dirac System
• Critical Collapse in the Axion-Dilaton System in Diverse Dimensions
• Quantum corrections to critical phenomena in gravitational collapse
• More On Critical Collapse of Axion-Dilaton System in Dimension Four
• On Perturbation Theory and Critical Exponents for Self-Similar Systems
• On Critical Exponents for Self-Similar Collapse
• On Higher Dimensional Self-Similar Axion-Dilaton Solutions
• Scale invariance and critical gravitational collapse
• Nonlinear Statistical Spline Smoothers for Critical Spherical Black Hole Solutions in 4-dimension
• Analysis of Black Hole Solutions in Parabolic Class Using Neural Networks
• Wave Functions for Quantum Black Hole Formation in 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
• 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