Scale-invariant cosmological perturbations from Hořava-Lifshitz gravity without inflation
Open accessAbstract
Based on the renormalizable theory of gravitation recently proposed by Hořava, we present a simple scenario to generate almost scale-invariant, super-horizon curvature perturbations. The anisotropic scaling with dynamical critical exponent z = 3 implies that the amplitude of quantum fluctuations of a free scalar field generated in the early epoch of the expanding universe is insensitive to the Hubble expansion rate and, thus, scale-invariant. Those fluctuations are later converted to curvature perturbations by the curvaton mechanism or/and the modulated decay of heavy particles/oscillating fields. This scenario works, for example, for power law expansion a ∝ t p with p >1/3 and, thus, does not require inflation. Also, this scenario does not rely on any additional assumptions such as the detailed balance condition.
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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 Mukohyama 2009b
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References 7 · Cited by 226
- Authors
- Mukohyama, S.
- Venue
- Journal of Cosmology and Astroparticle Physics
- Publisher
- IOP Publishing
- Published
- 2009-06-01
- Volume
- 2009
- Issue
- 06
- Pages
- 001-001
- ISSN
- 1475-7508 (ISSN-L)
- 1475-7516
- OpenAlex
- W1965126570
- Cited by
- 226
- References
- 7
- Citations by year
- 2025: 4 · 2024: 4 · 2023: 2 · 2022: 4 · 2021: 6 · 2020: 3 · 2019: 5 · 2018: 4 · 2017: 11 · 2016: 10 · 2015: 10 · 2014: 5 · 2013: 10 · 2012: 17
- FWCI
- 24.88
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Journal of Cosmology and Astroparticle Physics (publishedVersion)
- arXiv (Cornell University) (acceptedVersion)
- arXiv (Cornell University)
- Funders
- Japan Society for the Promotion of Science (19GS0219)
- 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, scale-invariant perturbations, curvature perturbations, curvaton mechanism, dynamical exponent, power-law expansion, early universe
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