Reconstruction of a Nonminimal Coupling Theory with Scale-invariant Power Spectrum

Details Reconstruction of a Nonminimal Coupling Theory with Scale-invariant Power Spectrum Reconstruction of a Nonminimal Coupling Theory with Scale-invariant Power Spectrum

2012-04-01

arxiv.org/abs/1204.0189v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

30 pages, 4 figures

Scientific paper

A nonminimal coupling single scalar field theory, when transformed from its original Jordan frame to Einstein frame, can act like a minimal coupling one. Making use of this property, we investigate how a nonminimal coupling theory with scale-invariant power spectrum could be reconstructed from its minimal coupling counterpart, which can be applied in the early universe. Thanks to the coupling to gravity, the equation of state of our universe for a scale-invariant power spectrum can be relaxed, and the relation between the parameters in the action can be obtained. This approach also provides a means to address the Big-Bang puzzles and anisotropy problem in the nonminimal coupling model within Jordan frame. Due to the equivalence between the two frames, one may be able to find models that are free of the horizon, flatness, singularity as well as anisotropy problems.

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