https://doi.org/10.1140/epjc/s10052-025-14036-w
Regular Article - Theoretical Physics
Some simple theories of gravity with propagating nonmetricity
1
Department of Physics, Nagoya University, Furo-cho, Chikusa-ku, 464-8602, Nagoya, Japan
2
International School for Advanced Studies, via Bonomea 265, 34136, Trieste, Italy
3
INFN, Sezione di Trieste, Trieste, Italy
a
mikura.yusuke.s8@s.mail.nagoya-u.ac.jp
Received:
22
September
2024
Accepted:
5
March
2025
Published online:
2
April
2025
We investigate symmetric metric-affine theories of gravity with a Lagrangian containing all operators of dimension up to four that are relevant to free propagation in flat space. Complementing recent work in the antisymmetric case, we derive the conditions for the existence of a single massive particle with good properties, in addition to the graviton.
© The Author(s) 2025
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/.