Cyclic cosmology from Lagrange-multiplier modified gravity

Details Cyclic cosmology from Lagrange-multiplier modified gravity Cyclic cosmology from Lagrange-multiplier modified gravity

2010-07-19

arxiv.org/abs/1007.3204v2

Class. Quantum Grav. 28 (2011) 035010

Astronomy and Astrophysics

Astrophysics

Cosmology and Extragalactic Astrophysics

8 pages, 3 figures, references added, accepted for publication

Scientific paper

10.1088/0264-9381/28/3/035010

We investigate cyclic and singularity-free evolutions in a universe governed by Lagrange-multiplier modified gravity, either in scalar-field cosmology, as well as in $f(R)$ one. In the scalar case, cyclicity can be induced by a suitably reconstructed simple potential, and the matter content of the universe can be successfully incorporated. In the case of $f(R)$-gravity, cyclicity can be induced by a suitable reconstructed second function $f_2(R)$ of a very simple form, however the matter evolution cannot be analytically handled. Furthermore, we study the evolution of cosmological perturbations for the two scenarios. For the scalar case the system possesses no wavelike modes due to a dust-like sound speed, while for the $f(R)$ case there exist an oscillation mode of perturbations which indicates a dynamical degree of freedom. Both scenarios allow for stable parameter spaces of cosmological perturbations through the bouncing point.

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