Lovelock gravity at the crossroads of Palatini and metric formulations

被引：83

作者：

Exirifard, Q. ^{[1
]}

Sheikh-Jabbari, M. M. ^{[1
]}

机构：

[1] Inst Studies Theoret Phys & Math IPM, Tehran, Iran

来源：

PHYSICS LETTERS B | 2008年 / 661卷 / 2-3期

关键词：

D O I：

10.1016/j.physletb.2008.02.012

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We consider extensions of the Einstein-Hilbert Lagrangian to a general functional of metric and Riemann curvature tensor, L(g(mu nu), R-mu alpha beta nu). A given such Lagrangian describes two different theories depending on considering connection and metric (Palatini formulation), or only the metric (metric formulation) as independent dynamical degrees of freedom. Equivalence of the Palatini and metric formulations at the level of equations of motion, which as we will argue is a manifestation of the casuality based on Einstein relativity, is a physical criterion that restricts form of Lagrangians of modified gravity theories. We prove that within the class of modified gravity theories we consider, only the Lovelock gravity satisfies this requirement. (C) 2008 Elsevier B.V. All rights reserved.

引用

页码：158 / 161

页数：4

共 29 条

[1] Cosmological constraints on f(R) gravity theories within the Palatini approach [J].