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Particle dynamics and gravitational weak lensing around black hole in the Kalb-Ramond gravity

Farruh AtamurotovAkfa University, Milliy Bog’ Street 264, 111221, Tashkent, UzbekistanDilmurod OrtiqboevGulistan state University, 120100, Gulistan, UzbekistanAhmadjon AbdujabbarovInstitute of Nuclear Physics, 100214, Tashkent, UzbekistanG. MustafaDepartment of Physics, Zhejiang Normal University, Jinhua, 321004, China
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Abstract In this paper, we have studied the particle dynamics, gravitational lensing and energy processes around the black hole (BH) in Kalb–Ramond (KR) gravity. The motion of particles is considered with parameters in KR BH and investigated for massive and massless particles. From this work, we have got the horizon structure, photon orbit of photon and ISCO (inner stable circular orbit) of a mass particle with parameters in KR gravity. The effective potential is also studied for the massless and mass particles. Additionally, we tested energy extracted from BH using the BSW (Banados–Silk–West) method and derived the expression of center mass-energy in KR gravity. The impact of the model parameters $$\gamma $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>γ</mml:mi></mml:math> and $$\lambda $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>λ</mml:mi></mml:math> is checked to study the size of the BH shadow in the KR gravity. Gravitational weak lensing has been explored using the general method and the derived deflection angle of light rays around the BH for the plasma of various concentration distributions. The magnification of brightness is obtained using the angle of deflection of the light rays.

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