Critical collapse in K-essence models

Abstract

We study gravitational collapse in K-essence model with shift symmetry. For these models, we have the formation of two types of horizons, event and sonic. For the particular case $K(X)=X+\beta X^2$ we found three different regimes. In the weak field regime the scalar field disperses to infinity, in the very strong regime both horizons form at the same time and finally for the intermediate regime, the sonic horizon could form first or both horizons form at the same time. The threshold of formation of black hole is found in the regime where the sonic horizon forms first. We observe a universal behavior with scaling parameter $\gamma \simeq 0.51$. Interestingly this universal behavior is already encoded in the sonic horizon much before the black hole forms and therefore the emergence of the event horizon.

19 pages, 7 figures; v2: accepted by JHEP, comments + appendix added, references updated

References in corpus (8)

• The Confrontation between General Relativity and Experiment
• Covariant Galileon
• Causality, Analyticity and an IR Obstruction to UV Completion
• The Swampland: Introduction and Review
• Healthy theories beyond Horndeski
• Exploring gravitational theories beyond Horndeski
• Escaping from the black hole?
• Gravitational Cheshire effect: Nonminimally coupled scalar fields may not curve spacetime

Cited by in corpus (6)

• UV completions, fixing the equations and nonlinearities in $k$-essence
• Collapsing scenario for the k-essence emergent generalised Vaidya spacetime in the context of massive gravity's rainbow
• Inflation and late-time accelerated expansion driven by $k$-essence degenerate dynamics
• Constraints on the speed of sound in the k-essence model of dark energy
• Scalar emission from neutron star-black hole binaries in scalar-tensor theories with kinetic screening
• Dynamical dimensional reduction in multi-valued Hamiltonians