Higher-Order Corrections to the Effective Gravitational Action from Noether Symmetry Approach |
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| Authors: | S Capozziello G Lambiase |
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| Institution: | (1) Dipartimento di Scienze Fisiche  E.R. Caianiello , Istituto Nazionale di Fisica Nucleare, Sez. di Napoli, Università di Salerno, 84081 Baronissi (Sa), Italy;(2) Dipartimento di Scienze Fisiche E.R. Caianiello, Istituto Nazionale di Fisica Nucleare, Sez. di Napoli, Università di Salerno, 84081 Baronissi (Sa), Italy |
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| Abstract: | Higher-order corrections of the 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 the Ricci scalar R and its d'Alembertian  R are present. In several cases, it is possible to get exact cosmological solutions or, at least, to simplify the dynamics by recovering constants of motion. The main result is that a Noether vector seems to rule the presence of higher-order corrections of gravity. |
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| Keywords: | Gravitational field equations of arbitrarily high order cosmology |
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