Higher-Order Corrections to the Effective Gravitational Action from Noether Symmetry Approach

Details Higher-Order Corrections to the Effective Gravitational Action from Noether Symmetry Approach Higher-Order Corrections to the Effective Gravitational Action from Noether Symmetry Approach

1999-12-20

arxiv.org/abs/gr-qc/9912084v1

Gen.Rel.Grav. 32 (2000) 295-311

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

LaTex file, 16 pag., 2 tables, no figures, to appear in Gen. Rel. Grav

Scientific paper

Higher-order corrections of Einstein-Hilbert action of general relativity can be recovered by imposing the existence of a Noether symmetry to a class of theories of gravity where Ricci scalar R and its d'Alembertian $\Box R$ are present. In several cases, it is possible to get exact cosmological solutions or, at least, to simplify dynamics by recovering constants of motion. The main result is that a Noether vector seems to rule the presence of higher-order corrections of gravitaty.

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