Published October 8, 2024 | Version v1
Journal article Open

Constraints on metric-Palatini gravity from QPO data

  • 1. Faculty of Engineering and Natural Sciences, Sabancı University, Tuzla, Istanbul, 34956, Turkey
  • 2. Department of Physics, Indian Institute of Technology Guwahati, Guwahati, Assam, 781039, India
  • 3. Institute of Fundamental and Applied Research, National Research University TIIAME, Kori Niyoziy 39, Tashkent, 100000, Uzbekistan
  • 4. Inha University in Tashkent, Ziyolilar 9, Tashkent, 100170, Uzbekistan
  • 5. University of Tashkent for Applied Sciences, Str. Gavhar 1, Tashkent, 100149, Uzbekistan

Description

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.

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