MATTER INSTABILITIES IN GENERAL GAUSS-BONNET GRAVITY
Abstract
We study the evolution of cosmological perturbations in [Formula: see text] gravity, where the Lagrangian is the sum of a Ricci scalar R and an arbitrary function f in terms of a Gauss-Bonnet term [Formula: see text]. We derive the equations for perturbations assuming matter to be described by a perfect fluid with a constant equation of state w. We show that density perturbations in perfect fluids exhibit negative instabilities during both the radiation and the matter domination, irrespective of the form of [Formula: see text]. This growth of perturbations gets stronger on smaller scales, which is difficult to be compatible with the observed galaxy spectrum unless the deviation from General Relativity is very small. Thus [Formula: see text] cosmological models are effectively ruled out from this Ultra-Violet instability, even though they can be compatible with the late-time cosmic acceleration and local gravity constraints.
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f(G) models have generic divergent modes for matter linear perturbations, which ruled them out.
“However, it was shown in De Felice et al. (2010b) that f(G) models have generic divergent modes for matter linear perturbations which ruled them out.”
From Testing general relativity in cosmology (2019) · cites this paper as De Felice et al. (2010b)
Cites
Construction of cosmologically viable gravity models
De Felice, A., & Tsujikawa, S. (2009) · Physics Letters B · doi:10.1016/j.physletb.2009.03.060 · Cited by 366 · see citing works
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Testing general relativity in cosmology
Ishak, M. (2019) · Living Reviews in Relativity · doi:10.1007/s41114-018-0017-4 · Cited by 449 · see citing works
- Authors
- DE FELICE, A., MOTA, D. F., & TSUJIKAWA, S.
- Affiliations
- Department of Physics, Faculty of Science, Tokyo University of Science, 1-3, Kagurazaka, Shinjuku-ku, Tokyo 162-8601, Japan
- University of Oslo (NO)
- Tokyo University of Science (JP)
- Venue
- Modern Physics Letters A
- Publisher
- World Scientific Pub Co Pte Lt
- Published
- 2010-04-20
- Volume
- 25
- Issue
- 11n12
- Pages
- 885-899
- ISSN
- 0217-7323 (ISSN-L)
- 1793-6632
- OpenAlex
- W2962915624
- Cited by
- 4
- References
- 1
- Citations by year
- 2024: 1 · 2019: 1 · 2018: 2
- FWCI
- 0.00
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Modern Physics Letters A (publishedVersion)
- Funders
- Japan Society for the Promotion of Science
- 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
- Gauss-Bonnet gravity, cosmological perturbations, perfect fluid, density perturbations, radiation domination, matter domination, modified gravity, late-time cosmic acceleration
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