Higher–Order Corrections to the Effective Gravitational Action from Noether Symmetry Approach
نویسندگان
چکیده
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 2R 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. PACS number(s): 98.80 H, 0450 E-mail: [email protected], [email protected] E-mail: [email protected]
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