Dynamical $F(R)$ gravities

Details Dynamical $F(R)$ gravities Dynamical $F(R)$ gravities

2012-01-05

arxiv.org/abs/1201.1069v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

discussion on quantum corrections is added

Scientific paper

It is offered that $F(R)-$modified gravities can be considered as nonperturbative quantum effects arising from Einstein gravity. It is assumed that nonperturbative quantum effects gives rise to the fact that the connection becomes incompatible with the metric, the metric factors and the square of the connection in Einstein - Hilbert Lagrangian have nonperturbative additions. In the simplest approximation both additions can be considered as functions of one scalar field. The scalar field can be excluded from the Lagrangian obtaining $F(R)-$gravity. The essence of quantum correction to the affine connection as a torsion is discussed.

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