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March 28, 2026The European Physical Journal C3 citationsOpen Access

Spinning particles around Einstein-geometric Proca AdS compact objects

GRGulzoda RakhimovaBPBeyhan PuliçeEGElham Ghorani

Key Points

  • This research aims to understand the dynamics of spinning test particles near Einstein-geometric Proca anti-de Sitter compact objects.
  • Utilized the Mathisson–Papapetrou–Dixon equations with the Tulczyjew spin supplementary condition.
  • Derived the effective potential affecting spinning particles.
  • Analyzed equatorial motion and orbital stability based on model parameters.
  • Examined head-on collisions near the horizon of the compact objects.
  • Increasing model parameters reduced ISCO radius, angular momentum, and energy of the particles.
  • Spin orientation significantly modified orbital behavior.
  • Einstein-geometric Proca AdS black holes can act as efficient particle accelerators.
  • Distinct features observed compared to Schwarzschild or standard AdS backgrounds.

Abstract

Abstract We investigate the dynamics of spinning test particles in the vicinity of Einstein-geometric Proca (EGP) Anti-de Sitter (AdS) compact objects, which arise from metric-Palatini gravity extended by the antisymmetric part of the affine curvature. Using the Mathisson–Papapetrou–Dixon (MPD) equations with the Tulczyjew spin supplementary condition, we derive the effective potential and analyze the equatorial motion of spinning particles. The influence of the model parameters q₁ q 1, q₂ q 2, and the Proca mass parameter σ on the innermost stable circular orbits (ISCO), superluminal spin bounds, and orbital stability is systematically explored. Our results show that increasing q₁ q 1 and q₂ q 2 reduces the ISCO radius, angular momentum, and energy, while spin orientation introduces significant modifications to orbital behavior. We further examine head-on collisions of spinning particles near the horizon and demonstrate how the center-of-mass energy depends on spin and the EGP theory parameters. The study reveals that Einstein-geometric Proca AdS black holes may act as efficient particle accelerators, with distinctive features absent in Schwarzschild or standard AdS backgrounds. These findings provide new insights into the interplay between spin dynamics, modified gravity, and strong-field compact object physics.

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Cite This Study

Rakhimova et al. (2026) studied this question.

synapsesocial.com/papers/69c771838bbfbc51511e166bhttps://doi.org/10.1140/epjc/s10052-026-15538-x
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