Chaotic universe in the z=2 Hovava-Lifshitz gravity
Yun Soo Myung, Yong-Wan Kim, Woo-Sik Son, Young-Jai Park
TL;DR
This paper investigates the chaotic dynamics of a nonrelativistic cosmological model derived from z=2 Horava-Lifshitz gravity, revealing that UV modifications do not suppress chaos in the universe's evolution.
Contribution
It introduces a nonrelativistic mixmaster cosmological model within deformed z=2 Horava-Lifshitz gravity and analyzes the impact of UV and IR potentials on chaos.
Findings
Adding UV potential does not suppress chaos in the model.
The model exhibits chaotic behavior driven by IR and UV potentials.
The potential combines IR and UV contributions in the ADM Hamiltonian.
Abstract
The deformed z=2 Horava-Lifshitz gravity with coupling constant w leads to a nonrelativistic "mixmaster" cosmological model. The potential of theory is given by the sum of IR and UV potentials in the ADM Hamiltonian formalism. It turns out that adding the UV-potential cannot suppress chaotic behaviors existing in the IR-potential.
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