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- Title
Modeling the black holes surrounded by a dark matter halo in the galactic center of M87.
- Authors
Liu, Dong; Yang, Yi; Xu, Zhaoyi; Long, Zheng-Wen
- Abstract
In this paper, the structure of a dark matter halo can be well described by the mass model of M87 and the Einasto profile for the cold dark matter model, i.e., ρ eina (r) = ρ e exp (- 2 α - 1 ((r / r e) α - 1)) (Wang et al. in Nature 585:39–42, 2020). Under these conditions, we construct a solution of a static spherically symmetric black hole in a dark matter halo. Then, using the Newman–Janis algorithm, we extend this static solution to the case of rotation, and obtain a solution for the Kerr-like black hole. We prove that this solution of the Kerr-like black hole is indeed a solution to the Einstein field equations. Finally, taking M87 as an example, we study and analyze some physical properties of this Kerr-like black hole, and then compare them with the Kerr black hole. Particularly, from the perspective of the black hole shadow and the fact that the Kerr-like black hole and the Kerr black hole is distinguishable, we give the upper limit of the shape parameter of the Einasto density profile, that is approximately α < 0.22 , which may provide a new method to further improve and perfect the density profile of dark matter model. These research results for the black hole in a dark matter halo may indirectly provide an effective method for detecting the existence of dark matter.
- Subjects
BLACK holes; DARK matter; KERR black holes; GALACTIC center; EINSTEIN field equations; GALACTIC halos; SCHWARZSCHILD black holes
- Publication
European Physical Journal C -- Particles & Fields, 2024, Vol 84, Issue 2, p1
- ISSN
1434-6044
- Publication type
Article
- DOI
10.1140/epjc/s10052-024-12492-4