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

S. Capozziello·G. Lambiase
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Abstract

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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S. Capozziello, G. Lambiase. 1999-12-20. Higher-Order Corrections to the Effective Gravitational Action from Noether Symmetry Approach. https://doi.org/10.1023/a%3A1001935510837

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