https://doi.org/10.1140/epjc/s10052-024-13373-6
Regular Article
Constraints on metric-Palatini gravity from QPO data
1
Faculty of Engineering and Natural Sciences, Sabancı University, 34956, Tuzla, Istanbul, Turkey
2
Department of Physics, Indian Institute of Technology Guwahati, 781039, Guwahati, Assam, India
3
Institute of Fundamental and Applied Research, National Research University TIIAME, Kori Niyoziy 39, 100000, Tashkent, Uzbekistan
4
Shahrisabz State Pedagogical Institute, Shahrisabz Str. 10, 181301, Shahrisabz, Uzbekistan
5
Astrophysics Research Center, The Open University of Israel, 4353701, Raanana, Israel
6
Inha University in Tashkent, Ziyolilar 9, 100170, Tashkent, Uzbekistan
7
Tashkent State Technical University, 100095, Tashkent, Uzbekistan
8
University of Tashkent for Applied Sciences, Str. Gavhar 1, 100149, Tashkent, Uzbekistan
d
beyhan.pulice@sabanciuniv.edu
Received:
6
January
2024
Accepted:
15
September
2024
Published online:
8
October
2024
In this work, we study metric-Palatini gravity extended by the antisymmetric part of the affine curvature. This gravity theory leads to general relativity plus a geometric Proca field. Using our previous construction of its static spherically-symmetric AdS solution (Eur Phys J. C 83(4):318, 2023), we perform a detailed analysis in this work using the observational quasiperiodic oscillations (QPOs) data. To this end, we use the latest data from stellar-mass black hole GRO J1655-40, intermediate-mass black hole in M82-X1, and the super-massive black hole in SgA* (our Milky Way) and perform a Monte-Carlo-Markov-Chain (MCMC) analysis to determine or bound the model parameters. Our results shed light on the allowed ranges of the Proca mass and other parameters. The results imply that our solutions can cover all three astrophysical black holes. Our analysis can also be extended to more general metric-affine gravity theories.
Dedicated to Durmuş Demir (1967–2024), our supervisor and candid friend.
© The Author(s) 2024
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