2022
DOI: 10.48550/arxiv.2201.07515
|View full text |Cite
Preprint
|
Sign up to set email alerts
|

Einstein Gauss-Bonnet Theories as Ordinary, Wess-Zumino Conformal Anomaly Actions

Claudio Corianò,
Matteo Maria Maglio

Abstract: Recently, the possibility of evading Lovelock's theorem at d = 4, via a singular redefinition of the dimensionless coupling of the Gauss-Bonnet term, has been very extensively discussed in the cosmological context. The term is added as a quadratic contribution of the curvature tensor to the Einstein-Hilbert action, originating theories of "Einstein Gauss-Bonnet" (EGB) type. We point out that the action obtained by the dimensional regularization procedure, implemented with the extraction of a single conformal f… Show more

Help me understand this report
View published versions

Search citation statements

Order By: Relevance

Paper Sections

Select...
1
1

Citation Types

0
2
0

Year Published

2022
2022
2023
2023

Publication Types

Select...
2

Relationship

0
2

Authors

Journals

citations
Cited by 2 publications
(2 citation statements)
references
References 18 publications
0
2
0
Order By: Relevance
“…has scaling equal to zero) under a Weyl transformation. Therefore, the regularization of the GB term can indeed generate regulated GB actions which can either take a local or a nonlocal form, depending on the way the conformal factor is treated in the regularization procedure [19,33]. Eq.…”
Section: The Nonlocal Theorymentioning
confidence: 99%
“…has scaling equal to zero) under a Weyl transformation. Therefore, the regularization of the GB term can indeed generate regulated GB actions which can either take a local or a nonlocal form, depending on the way the conformal factor is treated in the regularization procedure [19,33]. Eq.…”
Section: The Nonlocal Theorymentioning
confidence: 99%
“…In section 4, we conclude with some discussions. 1 A related observation in four-dimensions was made in the recent paper [12]. The dimensional reduction approach to obtain modified theories of gravity (a.k.a "four-dimensional Gauss-Bonnet gravity") was introduced in [13] [14][15] [16].…”
Section: Introductionmentioning
confidence: 99%