Derivation of regularized field equations for the Einstein-Gauss-Bonnet theory in four dimensions
By Pedro G. S. Fernandes, P. Carrilho, T. Clifton, David J. Mulryne. Physical Review D, 2020
164 citations recorded by the source corpus.
We propose a regularization procedure for the novel Einstein-Gauss-Bonnet theory of gravity, which produces a set of field equations that can be written in closed form in four dimensions. Our method consists of introducing a counterterm into the action, and does not rely on the embedding or compactification of any higher-dimensional spaces. This counterterm is sufficient to cancel the divergence in the action that would otherwise occur, and exactly reproduces the trace of the field equations of the original formulation of the theory. All other field equations display an extra scalar gravitational degree of freedom in the gravitational sector, in keeping with the requirements of Lovelock’s theorem. We discuss issues concerning the equivalence between our new regularized theory and the original.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/06802b35fe195117dc51c30ac952c2cad3888a84
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Astronomy and Astrophysics
- S. Mukohyama
- Mu-In Park
- Anzhong Wang
- L. Senatore
- P. Creminelli
- Lavinia Heisenberg
- T. Sotiriou
- F. Vernizzi
In Nuclear and High Energy Physics
Citations in the corpus
- The 4D Einstein–Gauss–Bonnet theory of gravity: a review (2022, unknown): “These have resulted in novel scalar–tensor theories either via a conformal regularization [203, 204] (first applied in reference [58] in two-dimensions), or via a regularized Kaluza–Klein reduction [201, 202].”
- A note on the novel 4D Einstein–Gauss–Bonnet gravity (2020, unknown): “[71, 72].”
- A consistent theory of D → 4 Einstein-Gauss-Bonnet gravity (2020, background): “[7] P.”