On Higher Dimensional Self-Similar Axion-Dilaton Solutions

Abstract

We show that solutions of the self-similar gravitational collapse in the Einstein-axion-dilaton system exist in higher dimensional spacetimes. These solutions are invariant under spacetime dilation combined with internal SL(2,R) transformations. We rely on the recent setup and use it for the three different conjugacy classes (elliptic, parabolic and hyperbolic) in higher dimensions. Lastly, we identify new families of physically distinguishable self-similar solutions for all three conjugacy classes in six and seven dimensions.

arXiv commentV4: 25 pages, typos corrected and published version in EPJC

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• On Perturbation Theory and Critical Exponents for Self-Similar Systems
• Analysis of Black Hole Solutions in Parabolic Class Using Neural Networks
• Nonlinear Statistical Spline Smoothers for Critical Spherical Black Hole Solutions in 4-dimension
• Estimation of Critical Collapse Solutions to Black Holes with Nonlinear Statistical Models
• Sequential Monte Carlo with Cross-validated Neural Networks for Complexity of Hyperbolic Black Hole Solutions in 4D
• Modeling the complexity of Elliptic Black Hole Solution In 4D Using Hamiltonian Monte Carlo with Stacked Neural Networks
• Neural Networks Assisted Metropolis-Hastings for Bayesian Estimation of Critical Exponent on Elliptic Black Hole Solution in 4D Using Quantum Perturbation Theory