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Density perturbations in generalized Einstein scenarios and constraints on nonminimal couplings from the cosmic microwave background

Shinji Tsujikawa

Burin Gumjudpai

  • Institute of Cosmology and Gravitation, University of Portsmouth, Mercantile House, Portsmouth PO1 2EG, United Kingdom

  • Fundamental Physics & Cosmology Research Unit, The Tah Poe Group of Theoretical Physics (TPTP), Department of Physics, Naresuan University, Phitsanulok, Thailand 65000

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Phys. Rev. D 69, 123523 – Published 29 June, 2004

DOI: https://doi.org/10.1103/PhysRevD.69.123523

Abstract

We study cosmological perturbations in generalized Einstein scenarios and show the equivalence of inflationary observables both in the Jordan frame and the Einstein frame. In particular the consistency relation relating the tensor-to-scalar ratio with the spectral index of tensor perturbations coincides with the one in Einstein gravity, which leads to the same likelihood results in terms of inflationary observables. We apply this formalism to nonminimally coupled chaotic inflationary scenarios with the potential V=cφp and place constraints on the strength of the nonminimal couplings using a compilation of the latest observational data. In the case of the quadratic potential (p=2), the nonminimal coupling is constrained to be ξ>−7.0×10−3 for negative ξ from the 1σ observational contour bound. Although the quartic potential (p=4) is under strong observational pressure for ξ=0, this property is relaxed by taking into account negative nonminimal couplings. We find that inflationary observables are within the 1σ contour bound as long as ξ<−1.7×10−3. We also show that the p>~6 cases are disfavored even in the presence of nonminimal couplings.

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Phys. Rev. D 69, 123523– Published 29 June, 2004
  • Received 9 February 2004

© 2004 American Physical Society

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