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arXiv · 1208.4759

Reconstruction of f(R) models with Scale-invariant Power Spectrum

Taotao Qiu
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Abstract

Following our previous work in [JCAP 1206, 041 (2012)], in this paper, we continue our study of reconstructing $f(R)$ modified gravity models that can be connected to a single scalar field in general relativity via conformal transformation, which lead to scale-invariant power spectrum in the early universe. With $f(R)$ modified gravity, one does not need to introduce extra scalar, the nature of which are to be explained. Different from general nonminimal coupling theory, the behavior of the $f(R)$ theory has been fixed by its counterpart in Einstein frame, and thus have one to one correspondence. Numerical plots of the functional form of $f(R)$ as well as the evolution of $R$ in terms of cosmic time $t$ are also presented.

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Taotao Qiu. 2012-11-21. Reconstruction of f(R) models with Scale-invariant Power Spectrum. https://doi.org/10.1016/j.physletb.2012.10.045

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