Title: Effectiveness of Hamilton-Jacobi formulation to explore the existence of bound motion around quantum-corrected Reissner-Nordström black hole surrounded by quintessence matter

Authors: Indrajit Halder; Kamal Lochan Mahanta; Rakesh Ranjan Sahoo

Addresses: Department of Mathematics, Kanchrapara College, Kanchrapara, North 24, Parganas, West Bengal, India; Department of Mathematics, C.V. Raman Global University, Bidyanagar, Mahura, Janla, Bhubaneswar, 752054, Odisha, India ' Department of Mathematics, C.V. Raman Global University, Bidyanagar, Mahura, Janla, Bhubaneswar, 752054, Odisha, India ' School of Basic Sciences and Humanities, Odisha University of Technology and Research, Techno Campus, Ghatikia, Bhubaneswar, 751029, Odisha, India

Abstract: The paper analyses the Reissner-Nordström black hole in the context of quintessence matter and quantum effects, exploring the behaviour of time-like test particles. It employs the Hamilton-Jacobi formulation to assess its suitability in investigating bound motion around black holes with a quantum-corrected metric.

Keywords: Reissner-Nordström black hole; quantum correction; Hamilton-Jacobi formulation; bound motion.

DOI: 10.1504/IJDSDE.2025.150085

International Journal of Dynamical Systems and Differential Equations, 2025 Vol.14 No.5, pp.457 - 468

Received: 22 Nov 2024
Accepted: 04 Jul 2025
Published online: 28 Nov 2025 *

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