Modified Gravity Models Admitting Second Order Equations of Motion

被引：2

作者：

Colleaux, Aimeric ^{[1
]}

Zerbini, Sergio ^{[1
,2
]}

机构：

[1] Trento Univ, Dept Phys, I-38123 Trento, Italy

[2] Ist Nazl Fis Nucl INFN Ctr, Trento Inst Fundamental Phys & Applicat, I-38123 Trento, Italy

来源：

ENTROPY | 2015年 / 17卷 / 10期

关键词：

modified gravities; non-polynomial gravities; higher order corrections; regular cosmological solutions; FLRW space-times; static spherically-symmetric space-times; FIELD EQUATIONS; BIANCHI I;

D O I：

10.3390/e17106643

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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-Lemaitre 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.

引用

页码：6643 / 6662

页数：20

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