Volume 536, Issue 4 2300390
Research Article

Constraints via the Event Horizon Telescope for Black Hole Solutions with Dark Matter under the Generalized Uncertainty Principle Minimal Length Scale Effect

Ali Övgün

Corresponding Author

Ali Övgün

Physics Department, Eastern Mediterranean University, North Cyprus via Mersin 10, 99628 Famagusta, Turkey

E-mail: [email protected]

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Lemuel John F. Sese

Lemuel John F. Sese

Physics Department, Mapúa University, 658 Muralla St., Intramuros, Manila, 1002 Philippines

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Reggie C. Pantig

Reggie C. Pantig

Physics Department, Mapúa University, 658 Muralla St., Intramuros, Manila, 1002 Philippines

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First published: 02 December 2023

Abstract

Four spherically symmetric but non-asymptotically flat black hole solutions surrounded with spherical dark matter distribution perceived under the minimal length scale effect is derived via the generalized uncertainty principle. Here, the effect of this quantum correction, described by the parameter γ $\gamma$ , is considered on a toy model galaxy with dark matter and the three well-known dark matter distributions: the cold dark matter, scalar field dark matter, and the universal rotation curve. The aim is to find constraints to γ $\gamma$ by applying these solutions to the known supermassive black holes: Sagittarius A (Sgr. A*) and Messier 87* (M87*), in conjunction with the available Event Horizon telescope. The effect of γ $\gamma$ is then examined on the event horizon, photonsphere, and shadow radii, where unique deviations from the Schwarzschild case are observed. As for the shadow radii, bounds are obtained for the values of γ $\gamma$ on each black hole solution at 3 σ $3\sigma$ confidence level. The results revealed that under minimal length scale effect, black holes can give positive (larger shadow) and negative values (smaller shadow) of γ $\gamma$ , which are supported indirectly by laboratory experiments and astrophysical or cosmological observations, respectively.

Conflict of Interest

The authors declare no conflict of interest.

Data Availability Statement

Data sharing is not applicable to this article as no new data were created or analyzed in this study.

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