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Geodesic motion and circular motion of particles around charged black hole immersed in non-linear Maxwell f(R) gravity.

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Title: Geodesic motion and circular motion of particles around charged black hole immersed in non-linear Maxwell f(R) gravity.
Authors: Halder, Indrajit1 (AUTHOR) indrajit@kpcoll.ac.in
Source: Pramana: Journal of Physics. Dec2025, Vol. 99 Issue 4, p1-12. 12p.
Subjects: Geodesic motion, Circular motion, Lyapunov exponents, Orbits (Astronomy), Black holes, Gravitational potential, Particle dynamics
Abstract: This paper investigates the geodesic motion and circular motion of particles around a linear Maxwell f (R) black hole in a modified gravity black hole field, using a specific metric. It focusses on framing the effective potential function for photon-like as well as massive particles, revealing differences in the behaviour of coordinate and proper time relative to radial distance in the space–time geometry. The analysis focusses on effective potential curves obtained from specific equations, examining the dynamics of massless and massive particles in different scenarios. Moreover, it examines the stability of particle orbits using the Lyapunov exponent and explains how the circular orbit of a particle moving under the influence of gravitational field of the black hole is conditionally stabilised. This paper examines how the cosmological constant and gravitational modification parameter influence the circular and geodesic motion of the particle. Finally, this paper provides a graphical analysis of the radius of the innermost stable circular orbit and outermost stable circular orbit of the particles moving in the field of modified gravity. [ABSTRACT FROM AUTHOR]
Copyright of Pramana: Journal of Physics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Geodesic motion and circular motion of particles around charged black hole immersed in non-linear Maxwell f(R) gravity.
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  Data: <searchLink fieldCode="AR" term="%22Halder%2C+Indrajit%22">Halder, Indrajit</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> indrajit@kpcoll.ac.in</i>
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  Data: <searchLink fieldCode="JN" term="%22Pramana%3A+Journal+of+Physics%22">Pramana: Journal of Physics</searchLink>. Dec2025, Vol. 99 Issue 4, p1-12. 12p.
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  Data: <searchLink fieldCode="DE" term="%22Geodesic+motion%22">Geodesic motion</searchLink><br /><searchLink fieldCode="DE" term="%22Circular+motion%22">Circular motion</searchLink><br /><searchLink fieldCode="DE" term="%22Lyapunov+exponents%22">Lyapunov exponents</searchLink><br /><searchLink fieldCode="DE" term="%22Orbits+%28Astronomy%29%22">Orbits (Astronomy)</searchLink><br /><searchLink fieldCode="DE" term="%22Black+holes%22">Black holes</searchLink><br /><searchLink fieldCode="DE" term="%22Gravitational+potential%22">Gravitational potential</searchLink><br /><searchLink fieldCode="DE" term="%22Particle+dynamics%22">Particle dynamics</searchLink>
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  Label: Abstract
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  Data: This paper investigates the geodesic motion and circular motion of particles around a linear Maxwell f (R) black hole in a modified gravity black hole field, using a specific metric. It focusses on framing the effective potential function for photon-like as well as massive particles, revealing differences in the behaviour of coordinate and proper time relative to radial distance in the space–time geometry. The analysis focusses on effective potential curves obtained from specific equations, examining the dynamics of massless and massive particles in different scenarios. Moreover, it examines the stability of particle orbits using the Lyapunov exponent and explains how the circular orbit of a particle moving under the influence of gravitational field of the black hole is conditionally stabilised. This paper examines how the cosmological constant and gravitational modification parameter influence the circular and geodesic motion of the particle. Finally, this paper provides a graphical analysis of the radius of the innermost stable circular orbit and outermost stable circular orbit of the particles moving in the field of modified gravity. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
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  Data: <i>Copyright of Pramana: Journal of Physics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – Type: doi
        Value: 10.1007/s12043-025-02966-9
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      – Code: eng
        Text: English
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      Pagination:
        PageCount: 12
        StartPage: 1
    Subjects:
      – SubjectFull: Geodesic motion
        Type: general
      – SubjectFull: Circular motion
        Type: general
      – SubjectFull: Lyapunov exponents
        Type: general
      – SubjectFull: Orbits (Astronomy)
        Type: general
      – SubjectFull: Black holes
        Type: general
      – SubjectFull: Gravitational potential
        Type: general
      – SubjectFull: Particle dynamics
        Type: general
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      – TitleFull: Geodesic motion and circular motion of particles around charged black hole immersed in non-linear Maxwell f(R) gravity.
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              M: 12
              Text: Dec2025
              Type: published
              Y: 2025
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