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A new approach to reconstruction methods in $f(R)$ gravity

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arxiv 1005.1840 v1 pith:PLRMKJDE submitted 2010-05-11 gr-qc astro-ph.CO

Sante Carloni , Rituparno Goswami , Peter K. S. Dunsby This is my paper · ORCID
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keywords approachgravityreconstructionallowsanalysiscosmiccosmologicalderivation
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abstract

We present a new approach of the reconstruction method based on the use of the cosmic parameters instead of a time law for the scale factor. This allows the derivation and analysis of a set of new non-trivial cosmological solutions for $f(R)$-gravity. A number of simple examples are given.

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    A reconstruction method is derived that turns background expansion and linear perturbation data into full non-linear Lagrangians for quintessence, scalar-tensor, k-essence, and shift-symmetric cubic Galileon dark ener...

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