arxiv: gr-qc/9912084 · v1 · pith:DFS7TFTBnew · submitted 1999-12-20 · 🌀 gr-qc

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

S. Capozziello , G. Lambiase This is my paper

classification 🌀 gr-qc

keywords correctionshigher-ordernoetheractionsymmetryalembertianapproachcases

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

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