On the Viability of a Non-Analytical f(R)-Theory

Details On the Viability of a Non-Analytical f(R)-Theory On the Viability of a Non-Analytical f(R)-Theory

2010-07-30

arxiv.org/abs/1007.5397v3

Cosmology, the Quantum Vacuum, and Zeta Functions, p. 221 (Springer 2010)

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, 2 figures

Scientific paper

In this paper, we show how a power-law correction to the Einstein-Hilbert action provides a viable modified theory of gravity, passing the Solar-System tests, when the exponent is between the values 2 and 3. Then, we implement this paradigm on a cosmological setting outlining how the main phases of the Universe thermal history are properly reproduced. As a result, we find two distinct constraints on the characteristic length scale of the model, i.e., a lower bound from the Solar-System test and an upper one by guaranteeing the matter dominated Universe evolution.

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