Is there a novel Einstein-Gauss-Bonnet theory in four dimensions?

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10.1140:epjc:s10052-020-8200-7.pdf

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2020-07-01

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GÜRSES, METİN
Sisman, Tahsin Cagri
Tekin, Bayram

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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

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Citation Formats

M. GÜRSES, T. C. Sisman, and B. Tekin, “Is there a novel Einstein-Gauss-Bonnet theory in four dimensions?,” EUROPEAN PHYSICAL JOURNAL C, pp. 0–0, 2020, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/47103.