Scalar field perturbations in Hořava-Lifshitz cosmology
Open accessAbstract
We study perturbations of a scalar field cosmology in Hořava-Lifshitz gravity, adopting the most general setup without detailed balance but with the projectability condition. We derive the generalized Klein-Gordon equation, which is sixth-order in spatial derivatives. Then we investigate scalar field perturbations coupled to gravity in a flat Friedmann-Robertson-Walker background. In the sub-horizon regime, the metric and scalar field modes have independent oscillations with different frequencies and phases except in particular cases. On super-horizon scales, the perturbations become adiabatic during slow-roll inflation driven by a single field, and the comoving curvature perturbation is constant.
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Perturbations for Hořava-Lifshitz theory have been worked out; the growth equations are different from those of GR and offer the possibility to test these theories using large-scale structure.
“Perturbations for the Hořava–Lifshitz theory have been worked out in a number of papers including (Mukohyama 2009b; Gao et al. 2010; Wang et al. 2010a; Wang 2010). The growth equations are different from those of GR and offer the possibility to test these theories using large-scale structure.”
From Testing general relativity in cosmology (2019) · cites this paper as Wang et al. 2010a
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References 73 · Cited by 72
- Authors
- Wang, A., Wands, D., & Maartens, R.
- Affiliations
- Baylor University (US)
- University of Portsmouth (GB)
- Venue
- Journal of Cosmology and Astroparticle Physics
- Publisher
- IOP Publishing
- Published
- 2010-03-09
- Volume
- 2010
- Issue
- 03
- Pages
- 013-013
- ISSN
- 1475-7508 (ISSN-L)
- 1475-7516
- OpenAlex
- W2122217824
- Cited by
- 72
- References
- 73
- Citations by year
- 2026: 1 · 2025: 2 · 2023: 1 · 2022: 3 · 2021: 2 · 2019: 2 · 2018: 1 · 2017: 4 · 2016: 2 · 2015: 5 · 2014: 2 · 2013: 5 · 2012: 11
- FWCI
- 8.40
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Journal of Cosmology and Astroparticle Physics (publishedVersion)
- arXiv (Cornell University) (publishedVersion)
- arXiv (Cornell University)
- Funders
- Science and Technology Facilities Council (PP/E001033/1, ST/F002335/1)
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Keywords
- Hořava-Lifshitz gravity, scalar perturbations, Klein-Gordon equation, slow-roll inflation, comoving curvature perturbation, modified gravity cosmology
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