Spinning Particles around Einstein-Geometric Proca AdS Compact Objects

Fuente: arXiv
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Autori principali: Rakhimova, Gulzoda, Puliçe, Beyhan, Ghorani, Elham, Atamurotov, Farruh, Abdujabbarov, Ahmadjon
Natura: Preprint
Pubblicazione: 2026
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author Rakhimova, Gulzoda
Puliçe, Beyhan
Ghorani, Elham
Atamurotov, Farruh
Abdujabbarov, Ahmadjon
author_facet Rakhimova, Gulzoda
Puliçe, Beyhan
Ghorani, Elham
Atamurotov, Farruh
Abdujabbarov, Ahmadjon
contents 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 $q_{1}$, $q_{2}$, 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 $q_{1}$ and $q_{2}$ 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.
format Preprint
id arxiv_https___arxiv_org_abs_2603_28181
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Spinning Particles around Einstein-Geometric Proca AdS Compact Objects
Rakhimova, Gulzoda
Puliçe, Beyhan
Ghorani, Elham
Atamurotov, Farruh
Abdujabbarov, Ahmadjon
General Relativity and Quantum Cosmology
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 $q_{1}$, $q_{2}$, 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 $q_{1}$ and $q_{2}$ 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.
title Spinning Particles around Einstein-Geometric Proca AdS Compact Objects
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2603.28181