Einstein-Gauss-Bonnet Gravity with Extra Dimensions
Consortium for Fundamental Physics, School of Mathematics and Statistics, University of Sheffield, Hounsfield Road, Sheffield S3 7RH, UK
Author to whom correspondence should be addressed.
Received: 28 January 2019 / Revised: 25 February 2019 / Accepted: 12 March 2019 / Published: 19 March 2019
PDF [805 KB, uploaded 19 March 2019]
We consider a theory of modified gravity possessing d
extra spatial dimensions with a maximally symmetric metric and a scale factor, whose
-dimensional gravitational action contains terms proportional to quadratic curvature scalars. Constructing the 4D effective field theory by dimensional reduction, we find that a special case of our action where the additional terms appear in the well-known Gauss-Bonnet combination is of special interest as it uniquely produces a Horndeski scalar-tensor theory in the 4D effective action. We further consider the possibility of achieving stabilised extra dimensions in this scenario, as a function of the number and curvature of extra dimensions, as well as the strength of the Gauss-Bonnet coupling. Further questions that remain to be answered such as the influence of matter-coupling are briefly discussed.
This is an open access article distributed under the Creative Commons Attribution License
which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
Share & Cite This Article
MDPI and ACS Style
van de Bruck, C.; Longden, C. Einstein-Gauss-Bonnet Gravity with Extra Dimensions. Galaxies 2019, 7, 39.
van de Bruck C, Longden C. Einstein-Gauss-Bonnet Gravity with Extra Dimensions. Galaxies. 2019; 7(1):39.
van de Bruck, Carsten; Longden, Chris. 2019. "Einstein-Gauss-Bonnet Gravity with Extra Dimensions." Galaxies 7, no. 1: 39.
Show more citation formats
Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.
[Return to top]
For more information on the journal statistics, click here
Multiple requests from the same IP address are counted as one view.