https://doi.org/10.1140/epjp/s13360-023-03848-y
Regular Article
Chaotic motion and Periastron precession of spinning test particles moving in the vicinage of a Schwarzschild black hole surrounded by a quintessence matter field
1
Department of Physics, Gurukula Kangri (Deemed to be University), 249 404, Haridwar, Uttarakhand, India
2
Department of Physics, Hemvati Nandan Bahuguna Garhwal University, 246174, Srinagar, Garhwal, Uttarakhand, India
3
Center for Space Research, North-West University, 2745, Mahikeng, South Africa
4
Institute of Fundamental and Applied Research, National Research University TIIAME, Kori Niyoziy 39, 100000, Tashkent, Uzbekistan
5
Akfa University, Milliy Bog Street 264, 111221, Tashkent, Uzbekistan
6
National University of Uzbekistan, 100174, Tashkent, Uzbekistan
7
Tashkent State Technical University, 100095, Tashkent, Uzbekistan
8
Samarkand State University, University Avenue 15, 140104, Samarkand, Uzbekistan
Received:
17
August
2022
Accepted:
26
February
2023
Published online:
15
March
2023
In the present work, our main objective is to investigate the orbits of spinning test particles around a Schwarzschild black hole under the influence of a quintessence matter field (SQBH). We begin with the dynamics of the spinning test particles around SQBH which is governed by the Mathisson–Papapetrou–Dixon equations under the pole–dipole approximation, where the gravitational field and the higher multipoles of the particle are neglected. Depending on the types of saddle points, the effective potential are classified and the possibility of chaotic orbits is discussed. The innermost stable circular orbits (ISCOs) of the spinning particle around SQBH are addressed, as are the effects of the parameters S (particles’ spin) and 
(equation of state parameter). Later, Periastron precession is investigated up to the first-order spin correction for a spinning particle moving in nearly circular orbits around SQBH. It is noted that the addition of particle’s spin revamps the results obtained for the non-spinning particles and also articulates the some interesting observational properties of the SQBH. Additionally, we discuss the ramifications of employing first-order spin corrections for analysing ISCOs, as well as compare our results to the Schwarzschild BH to ensure that they are consistent in the limit when equation of state parameter 
and normalization factor 
.
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