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<p>We investigate the geodesic of a charged Reissner-Nordstrom-de Sitter (RNdS) black hole encircled by quintessential substances and examine the nature of the lapse function. We also outline the motion of a particle moving in the field of gravitational effect by the charged black hole utilizing the Hamilton-Jacobi formalism. The existence of bound orbits in both static and nonstatic equilibrium is analyzed. We construct an effective potential and investigate its behavior for both photon-like and time-like particles, and the result shows that there is likeness in both the changes of ordinary time and proper time when the variation in the radial distance is made. Using Lyapunov stability, we analyze the stability of circular orbits and also determine the effects of the normalization constant (<InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\gamma \)</EquationSource> </InlineEquation>) on the angular momentum and energy of the test particle. It concludes that an increase in the quessence parameter results in a decreased radius of the photon sphere and a smaller shadow size, indicating a diminished gravitational pull near the black hole.</p>

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Analytical Study of Geodesics of Reissner–Nordstrom–de Sitter Black Hole Surrounded by Quintessential Matter

  • 期刊论文

  • 发表日期：

    2025年12月5日

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  • Indrajit Halder,
  • Kamal Lochan Mahanta,
  • Rakesh Ranjan Sahoo,
  • Ananya Dey Sikder

摘要

We investigate the geodesic of a charged Reissner-Nordstrom-de Sitter (RNdS) black hole encircled by quintessential substances and examine the nature of the lapse function. We also outline the motion of a particle moving in the field of gravitational effect by the charged black hole utilizing the Hamilton-Jacobi formalism. The existence of bound orbits in both static and nonstatic equilibrium is analyzed. We construct an effective potential and investigate its behavior for both photon-like and time-like particles, and the result shows that there is likeness in both the changes of ordinary time and proper time when the variation in the radial distance is made. Using Lyapunov stability, we analyze the stability of circular orbits and also determine the effects of the normalization constant ( \(\gamma \) ) on the angular momentum and energy of the test particle. It concludes that an increase in the quessence parameter results in a decreased radius of the photon sphere and a smaller shadow size, indicating a diminished gravitational pull near the black hole.