The 4D Einstein-Gauss-Bonnet Theory of Gravity: A Review

Pedro G. S. Fernandes*, Pedro Carrilho, Timothy Clifton, David J. Mulryne

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract / Description of output

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.
Original languageEnglish
Article number063001
Pages (from-to)1-50
Number of pages50
JournalClassical and quantum gravity
Issue number6
Publication statusPublished - 28 Feb 2022

Keywords / Materials (for Non-textual outputs)

  • cosmology
  • general relativity
  • gravity


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