Testing strong gravitational lensing effects of various supermassive compact objects for the static and spherically symmetric hairy black hole by gravitational decoupling

G. Mustafa; S. K. Maurya

doi:10.1140/epjc/s10052-024-13057-1

2024 Impact factor 4.8

Particles and Fields

Open Access

Eur. Phys. J. C (2024) 84: 686
https://doi.org/10.1140/epjc/s10052-024-13057-1

Regular Article - Theoretical Physics

Testing strong gravitational lensing effects of various supermassive compact objects for the static and spherically symmetric hairy black hole by gravitational decoupling

G. Mustafa¹ and S. K. Maurya²^b

¹ Department of Physics, Zhejiang Normal University, 321004, Jinhua, People’s Republic of China
² Department of Mathematical and Physical Sciences, College of Arts and Sciences, University of Nizwa, 616, Nizwa, Sultanate of Oman

^b sunil@unizwa.edu.om

Received: 22 March 2024
Accepted: 18 June 2024
Published online: 11 July 2024

Abstract

We investigate the strong gravitational lensing effects of various supermassive compact objects for the static and spherically symmetric hairy black hole by gravitational decoupling. To do this purpose, we first numerically calculate the strong deflection limit coefficients and strong deflection angle with the decoupling modified black hole parameter $α$ $\alpha$ and $β$ $\beta$ . It is observed that for the lowest value of the parameter $α$ $\alpha$ , the strong deflection angle $α_{D}$ $\alpha _D$ reaches its maximum value with the parameter $β$ $\beta$ and for the lowest value of the parameter $β$ $\beta$ , strong deflection angle $α_{D}$ $\alpha _D$ reaches its minimum value with the parameter $α$ $\alpha$ ; and also the strong deflection angle for $α_{D}$ $\alpha _D$ for the decoupling modified black hole is smaller than standard Schwarzschild black hole $(α = 0)$ $(\alpha =0)$ . We investigate the various astrophysical consequences via strong gravitational lensing by considering the example of various supermassive BHs in the centre nearby galaxies and observe that the decoupling modified black hole could be quantitatively distinguished from the standard Schwarzschild black hole ( $α = 0$ $\alpha =0$ ). Findings in our observation suggest that the observational test for a decoupling-modified black hole is indeed feasible.

© The Author(s) 2024

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