Completeness of uniformly accelerated observers in Galilean spacetimes De la Fuente, Daniel Sánchez Pelegrín, José Antonio Rubio, Rafael M. Newton–Cartan theory Galilean spacetime Accelerated observer Geodesic completeness Acknowledgements The second author is partially supported by Spanish MICINN Project No. PID2020- 116126GB-I00. The rest of the authors are partially supported by Spanish MICINN Project No. PID2021- 126217NB-I00 and Andalusian FEDER 1380930-F. The authors would like to thank the referees for their valuable suggestions. Funding Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature. Spanish MICINN Project No. PID2020- 116126GB-I00 Spanish MICINN Project No. PID2021- 126217NB-I00 Andalusian FEDER 1380930-F We analyze the concept of uniformly accelerated observer in Galilean spacetimes in the context ofNewton–Cartan theory and find natural geometric assumptions to ensure that an inextensible uniformly accelerated observer in a Galilean spacetime does not disappear in a finite proper time. 2022-11-30T13:31:04Z 2022-11-30T13:31:04Z 2022-11-08 info:eu-repo/semantics/article de la Fuente, D., Pelegrín, J.A.S. & Rubio, R.M. Completeness of uniformly accelerated observers in Galilean spacetimes. Lett Math Phys 112, 111 (2022). [https://doi.org/10.1007/s11005-022-01575-6] https://hdl.handle.net/10481/78212 10.1007/s11005-022-01575-6 eng http://creativecommons.org/licenses/by/4.0/ info:eu-repo/semantics/openAccess Atribución 4.0 Internacional Springer Nature