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1

Department of Physics, Trento University, Via Sommarive 14, 38123 Trento, Italy

2

Trento Institute for Fundamental Physics and Applications TIFPA, Istituzione Nazionale di FisicaNucleare INFN Center, Via Sommarive 14, 38123 Trento, Italy





*

Author to whom correspondence should be addressed.



Academic Editor: Remo Garattini

Abstract The aim of this paper is to find higher order geometrical corrections to the Einstein–Hilbert action that can lead only to second order equations of motion. The metric formalism is used, and static spherically-symmetric and Friedmann–Lemaître space-times are considered, in four dimensions. The Fulling, King, Wybourne and Cummings FKWC basis is introduced in order to consider all of the possible invariant scalars, and both polynomial and non-polynomial gravities are investigated. View Full-Text

Keywords: modified gravities; non-polynomial gravities; higher order corrections; regular cosmological solutions; FLRW space-times, static spherically-symmetric space-times modified gravities; non-polynomial gravities; higher order corrections; regular cosmological solutions; FLRW space-times, static spherically-symmetric space-times





Autor: Aimeric Colléaux 1 and Sergio Zerbini 1,2,*

Fuente: http://mdpi.com/



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