Received: 3 April 2024 / Accepted: 21 May 2024 / Published online: 5 June 2024 | S. Khan, A. Adeel, Z. Yousaf
This study explores the possibility of constructing dark matter (DM) black holes (BHs) within the framework of the Starobinsky gravity model, using the Einasto density parameterization to describe DM halos. The authors investigate different BH models by assuming an anisotropic fluid configuration and considering a de Sitter-like equation of state (EOS) where the radial pressure \( P_r \) is negative. They demonstrate that the central singularity can be replaced by a regular de Sitter core through quadratic \( f(R) \) corrections. Additionally, they explore the use of a nonlocal EOS, which allows for the construction of a fuzzy DM stellar droplet but requires negative radial pressure. The study also examines the potential of these findings in explaining moderately massive DM-BHs within galactic structures, suggesting their role in early galactic formation. The research contributes to the understanding of the connection between DM and BHs, particularly at galactic centers, and provides insights into the evolution and configuration of galactic structures.This study explores the possibility of constructing dark matter (DM) black holes (BHs) within the framework of the Starobinsky gravity model, using the Einasto density parameterization to describe DM halos. The authors investigate different BH models by assuming an anisotropic fluid configuration and considering a de Sitter-like equation of state (EOS) where the radial pressure \( P_r \) is negative. They demonstrate that the central singularity can be replaced by a regular de Sitter core through quadratic \( f(R) \) corrections. Additionally, they explore the use of a nonlocal EOS, which allows for the construction of a fuzzy DM stellar droplet but requires negative radial pressure. The study also examines the potential of these findings in explaining moderately massive DM-BHs within galactic structures, suggesting their role in early galactic formation. The research contributes to the understanding of the connection between DM and BHs, particularly at galactic centers, and provides insights into the evolution and configuration of galactic structures.