K-dynamics: well-posed 1+1 evolutions in K-essence

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Publication:5026038

DOI10.1088/1475-7516/2021/03/072zbMATH Open1485.83063arXiv2008.07546OpenAlexW3139515629MaRDI QIDQ5026038

Author name not available (Why is that?)

Publication date: 7 February 2022

Published in: (Search for Journal in Brave)

Abstract: We study the vacuum Cauchy problem for K-essence, i.e. cosmologically relevant scalar-tensor theories that involve first-order derivative self-interactions, and which pass all existing gravitational wave bounds. We restrict to spherical symmetry and show that there exists a large class of theories for which no breakdown of the Cauchy problem occurs outside apparent black hole horizons, even in the presence of scalar shocks/caustics, except for a small set of initial data sufficiently close to critical black hole collapse. We characterise these problematic initial data, and show that they lead to large or even diverging (coordinate) speeds for the characteristic curves. We discuss the physical relevance of this problem and propose ways to overcome it.


Full work available at URL: https://arxiv.org/abs/2008.07546



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