Hořava-Lifshitz gravity inspired Bianchi-II cosmology and the mixmaster universe
Abstract
We study different aspects of the Hořava-Lifshitz inspired Bianchi-II cosmology and its relations with the mixmaster universe model. First, we present exact solutions for a toy model, where only the cubic in spatial curvature terms are present in the action; then we briefly discuss some exotic singularities, which can appear in this toy model. We study also the toy model where only the quadratic in spatial curvature terms are present in the action. We establish relations between our results and those obtained by using the Hamiltonian formalism. Finally, we apply the results obtained by studying Bianchi-II cosmology to describe the evolution of the mixmaster universe in terms of the Belinsky-Khalatnikov-Lifshitz formalism. Generally, our analysis gives some arguments in favour of the existence of the oscillatory approach to the singularity in a universe governed by the Hořava-Lifshitz type gravity.
- Publication:
-
Classical and Quantum Gravity
- Pub Date:
- April 2017
- DOI:
- 10.1088/1361-6382/aa64b5
- arXiv:
- arXiv:1606.03243
- Bibcode:
- 2017CQGra..34h5007G
- Keywords:
-
- General Relativity and Quantum Cosmology;
- High Energy Physics - Theory
- E-Print:
- 25 pages, final version to appear in Classical and Quantum Gravity, the title is changed and two sections are added