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Turkish Journal of Physics

Abstract

This paper investigates the geodesics of the Schwarzschild black hole modified with the quintessence field and modeled as a barotropic fluid with a constant equation of state derived in Boyer Lindquist coordinates with natural units G = c = 1. Hamilton–Jacobi formalization is applied to investigate the geodesics in both static and nonstatic black hole spacetime. It specifically examines the formation of bound orbits of test particles around the black hole, highlighting that these orbits result from the interplay between the gravitational pull of the black hole and a repulsive force associated with quintessence. The thermodynamic properties of a black hole are explored. Angular momentum and energy of the particle in black hole gravitation are also discussed. The turnaround radius is found to be influenced by the value of the quintessential normalization constant (γ), which affects gravitational interactions in various scenarios. Finally, the stability of the orbit is analyzed using the Lyapunov component.

Author ORCID Identifier

INDRAJIT HALDER: 0000-0001-7717-4357

KAMAL LOCHAN MAHANTA: 0000-0003-4847-446X

RAKESH SAHOO: 0000-0003-4734-6941

DOI

10.55730/1300-0101.2777

Keywords

black hole, circular motion, quintessential dark energy, Thermodynamics

First Page

72

Last Page

91

Publisher

The Scientific and Technological Research Council of Türkiye (TÜBİTAK)

Creative Commons License

Creative Commons Attribution 4.0 International License
This work is licensed under a Creative Commons Attribution 4.0 International License.

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Physics Commons

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