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Is there a novel Einstein-Gauss-Bonnet theory in four dimensions?
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10.1140:epjc:s10052-020-8200-7.pdf
Date
2020-07-01
Author
GÜRSES, METİN
Sisman, Tahsin Cagri
Tekin, Bayram
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Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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No! We show that the field equations of Einstein-Gauss-Bonnet theory defined in generic D>4 dimensions split into two parts one of which always remains higher dimensional, and hence the theory does not have a non-trivial limit to D=4. Therefore, the recently introduced four-dimensional, novel, Einstein-Gauss-Bonnet theory does not admit an intrinsically four-dimensional definition, in terms of metric only, as such it does not exist in four dimensions. The solutions (the spacetime, the metric) always remain D>4 dimensional. As there is no canonical choice of 4 spacetime dimensions out of D dimensions for generic metrics, the theory is not well defined in four dimensions.
Subject Keywords
Physics and Astronomy (miscellaneous)
,
Engineering (miscellaneous)
,
TENSOR
URI
https://hdl.handle.net/11511/47103
Journal
EUROPEAN PHYSICAL JOURNAL C
DOI
https://doi.org/10.1140/epjc/s10052-020-8200-7
Collections
Department of Physics, Article