On self-similar axion-dilaton configurations

Abstract

We explore self-similar collapse solutions to the Einstein-axion-dilaton system in arbitrary spacetime dimensions, which are invariant under spacetime dilation combined with internal $SL(2,R)$ transformations. We set up a numerical formalism, and test it in four and five dimensions, discovering several new families of solutions in the three conjugacy classes of $SL(2,R)$.

V3: 30 pages, 10 figures and published version in JHEP

References in corpus (2)

• Critical formation of trapped surfaces in the collision of gravitational shock waves
• Critical gravitational collapse: towards a holographic understanding of the Regge region

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• On Higher Dimensional Self-Similar Axion-Dilaton Solutions
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• Neural Networks Assisted Metropolis-Hastings for Bayesian Estimation of Critical Exponent on Elliptic Black Hole Solution in 4D Using Quantum Perturbation Theory