Observational signatures of the theories beyond Horndeski
- Yukawa Institute for Theoretical Physics, Kyoto University, 606-8502, Kyoto (Japan)
- Institute of Cosmology and Gravitation, University of Portsmouth, Portsmouth PO1 3FX (United Kingdom)
- Department of Physics, Faculty of Science, Tokyo University of Science, 1-3, Kagurazaka, Shinjuku, Tokyo 162-8601 (Japan)
In the approach of the effective field theory of modified gravity, we derive the equations of motion for linear perturbations in the presence of a barotropic perfect fluid on the flat isotropic cosmological background. In a simple version of Gleyzes-Langlois-Piazza-Vernizzi (GLPV) theories, which is the minimum extension of Horndeski theories, we show that a slight deviation of the tensor propagation speed squared c{sub t}{sup 2} from 1 generally leads to the large modification to the propagation speed squared c{sub s}{sup 2} of a scalar degree of freedom φ. This problem persists whenever the kinetic energy ρ{sub X} of the field φ is much smaller than the background energy density ρ{sub m}, which is the case for most of dark energy models in the asymptotic past. Since the scaling solution characterized by the constant ratio ρ{sub X}/ρ{sub m} is one way out for avoiding such a problem, we study the evolution of perturbations for a scaling dark energy model in the framework of GLPV theories in the Jordan frame. Provided the oscillating mode of scalar perturbations is fine-tuned so that it is initially suppressed, the anisotropic parameter η=−Φ/Ψ between the two gravitational potentials Ψ and Φ significantly deviates from 1 for c{sub t}{sup 2} away from 1. For other general initial conditions, the deviation of c{sub t}{sup 2} from 1 gives rise to the large oscillation of Ψ with the frequency related to c{sub s}{sup 2}. In both cases, the model can leave distinct imprints for the observations of CMB and weak lensing.
- OSTI ID:
- 22525802
- Journal Information:
- Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 05; Other Information: Country of input: International Atomic Energy Agency (IAEA); ISSN 1475-7516
- Country of Publication:
- United States
- Language:
- English
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