https://doi.org/10.1140/epjc/s10052-022-10079-5
Regular Article - Theoretical Physics
On the “Einstein–Gauss–Bonnet gravity in four dimension”
1
Peng Huanwu Center for Fundamental Theory, 230026, Hefei, Anhui, China
2
Interdisciplinary Center for Theoretical Study and Department of Modern Physics, University of Science and Technology of China, 230026, Hefei, Anhui, China
Received:
21
November
2021
Accepted:
29
January
2022
Published online:
9
February
2022
To ensure the existence of a well defined linearized gravitational wave equation, we show that the spacetimes in the so-called “Einstein–Gauss–Bonnet gravity in four dimension” have to be locally conformally flat.
© The Author(s) 2022
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Funded by SCOAP3