The Weyl-Cartan Gauss-Bonnet gravity

被引：26

作者：

Haghani, Zahra ^{[1
]}

Khosravi, Nima ^{[2
]}

Shahidi, Shahab ^{[1
]}

机构：

[1] Damghan Univ, Sch Phys, Damghan 4116736716, Iran

[2] Inst Res Fundamental Sci IPM, Sch Astron, Tehran, Iran

来源：

CLASSICAL AND QUANTUM GRAVITY | 2015年 / 32卷 / 21期

关键词：

Weyl-Cartan theory; Gauss-Bonnet action; Proca action; Ostrogradski instability; TORSION; FIELD; MODEL; F(R); SPIN;

D O I：

10.1088/0264-9381/32/21/215016

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

In this paper, we consider the generalized Gauss-Bonnet action in four-dimensional Weyl-Cartan spacetime. In this spacetime, the presence of a torsion tensor and Weyl vector implies that the generalized Gauss-Bonnet action will not be a total derivative in four-dimensional spacetime. It will be shown that the higher than two time derivatives can be removed from the action by choosing a suitable set of parameters. In the special case where only the trace part of the torsion remains, the model reduces to general relativity plus two vector fields, one of which is massless and the other is massive. We will then obtain the healthy region of the five-dimensional parameter space of the theory in some special cases.

引用

页数：15