New explicit spike solution -- non-local component of the generalized Mixmaster attractor

Abstract

By applying a standard solution-generating transformation to an arbitrary vacuum Bianchi type II solution, one generates a new solution with spikes commonly observed in numerical simulations. It is conjectured that the spike solution is part of the generalized Mixmaster attractor.

Significantly revised. Colour figures simplified to accommodate non-colour printing

References in corpus (15)

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• Manufacture of Gowdy spacetimes with spikes
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• Dynamical systems approach to G2 cosmology
• The Gowdy T3 Cosmologies revisited
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Cited by in corpus (27)

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• Second-order hyperbolic Fuchsian systems and applications
• Inhomogeneous cosmology and backreaction: Current status and future prospects
• Hamiltonian General Relativity and the Belinskii, Khalatnikov, Lifshitz Conjecture
• Recent developments concerning generic spacelike singularities
• Spike behavior in the approach to spacetime singularities
• Generating matter inhomogeneities in general relativity
• Singularity-free and non-chaotic inhomogeneous Mixmaster in polymer representation for the volume of the universe
• Spikes and matter inhomogeneities in massless scalar field models
• An exact smooth Gowdy-symmetric generalized Taub-NUT solution
• Spacetime Singularities: Recent Developments
• Wave equations on silent big bang backgrounds
• Second-order hyperbolic Fuchsian systems. Asymptotic behavior of geodesics in Gowdy spacetimes
• Future instability of FLRW fluid solutions for linear equations of state $p=K\rho$ with $1/3<K<1$
• General relativistic density perturbations
• Localized big bang stability for the Einstein-scalar field equations
• A Scenario for a Singularity-free Generic Cosmological Solution
• Spike statistics
• Multifractality in the general cosmological solution of Einstein's equations
• Electrocardiogram of the Mixmaster Universe
• Generating spiky solutions of Einstein field equations with the Stephani transformation
• Cylindrical spikes
• Hunting for gravitational quantum spikes
• Transition analysis of the non-OT $G_2$ stiff fluid spike solution
• Numerical confirmations of joint spike transitions in $G_2$ cosmologies