The 4D Einstein-Gauss-Bonnet theory of gravity: a review

被引：131

作者：

Fernandes, Pedro G. S. ^{[1
]}

Carrilho, Pedro ^{[1
,2
]}

Clifton, Timothy ^{[1
]}

Mulryne, David J. ^{[1
]}

机构：

[1] Queen Mary Univ London, Dept Phys & Astron, London, England

[2] Univ Edinburgh, Inst Astron, Edinburgh, Midlothian, Scotland

来源：

CLASSICAL AND QUANTUM GRAVITY | 2022年 / 39卷 / 06期

基金：

英国科研创新办公室;

关键词：

cosmology; gravity; general relativity; ROTATING RELATIVISTIC STARS; BLACK-HOLES; TENSOR; EQUATIONS; PROPERTY; SYSTEM; ENERGY; LIMIT;

D O I：

10.1088/1361-6382/ac500a

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We review the topic of 4D Einstein-Gauss-Bonnet (4DEGB) gravity, which has been the subject of considerable interest over the past two years. Our review begins with a general introduction to Lovelock's theorem, and the subject of Gauss-Bonnet terms in the action for gravity. These areas are of fundamental importance for understanding modified theories of gravity, and inform our subsequent discussion of recent attempts to include the effects of a Gauss-Bonnet term in four space-time dimensions by re-scaling the appropriate coupling parameter. We discuss the mathematical complexities involved in implementing this idea, and review recent attempts at constructing well-defined, self-consistent theories that enact it. We then move on to consider the gravitational physics that results from these theories, in the context of black holes, cosmology, and weak-field gravity. We show that 4DEGB gravity exhibits a number of interesting phenomena in each of these areas.

引用

页数：50

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