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We develop a numerical approach to find asymptotically flat black hole solutions coupled to anisotropic fluids, described by generic density profiles. Our model allows for a variety of applications in realistic astrophysical scenarios, and…

General Relativity and Quantum Cosmology · Physics 2023-05-24 Enzo Figueiredo , Andrea Maselli , Vitor Cardoso

In this article we find a four-dimensional metric for a large black hole immersed in dark matter. Specifically, we look for and find a static spherically symmetric black hole solution to the Einstein equations which gives, in the Newtonian…

General Relativity and Quantum Cosmology · Physics 2021-01-12 Fateen Haddad , Nidal Haddad

This note includes results of a study of stationary spherically symmetric ``dark holes'', objects merging central black holes and peripheral scalar graviton dark haloes arising in the framework of the modified gravity -- the quartet-metric,…

General Relativity and Quantum Cosmology · Physics 2025-07-15 Yu. F. Pirogov , O. V. Zenin

Black holes in General Relativity are described by space-time metrics that are simpler in comparison to non-vacuum compact objects. However, given the universality of the gravitational pull, it is expected that dark matter accumulates…

General Relativity and Quantum Cosmology · Physics 2024-07-23 Caio F. B. Macedo , João Luís Rosa , Diego Rubiera-Garcia

For the first time, we obtain the analytical form of black hole space-time metric in dark matter halo for the stationary situation. Using the relation between the rotation velocity (in the equatorial plane) and the spherical symmetric…

General Relativity and Quantum Cosmology · Physics 2018-10-03 Zhaoyi Xu , Xian Hou , Xiaobo Gong , Jiancheng Wang

Supermassive black holes at the center of each galaxy may be surrounded by dark matter. Such dark matter admits a spike structure and vanishes at a certain distance from the black hole. This dark matter will impact the spacetime near the…

General Relativity and Quantum Cosmology · Physics 2023-08-02 Yuqian Zhao , Bing Sun , Kai Lin , Zhoujian Cao

The supermassive black holes at the centers of galaxies may be surrounded by dark matter spike, which could leave detectable imprints on the gravitational wave signals they emit. In this work, combining the mass model of M87, we present…

General Relativity and Quantum Cosmology · Physics 2026-04-15 Dong Liu , Yi Yang , Zheng-wen Long

We consider the metric of an axially symmetric rotating black hole. We do not specify the concrete form of a metric and rely on its behavior near the horizon only. Typically, it is characterized (in the coordinates that generalize the…

General Relativity and Quantum Cosmology · Physics 2023-09-01 H. V. Ovcharenko , O. B. Zaslavskii

Highly accurate numerical solutions to the problem of Black Holes surrounded by uniformly rotating rings in axially symmetric, stationary spacetimes are presented. The numerical methods developed to handle the problem are discussed in some…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Marcus Ansorg , David Petroff

Theoretical models suggest the existence of a dark matter spike surrounding the supermassive black holes at the core of galaxies. The spike density is thought to obey a power law that starts at a few times the black hole horizon radius and…

Astrophysics of Galaxies · Physics 2024-02-08 Ramin G. Daghigh , Gabor Kunstatter

A number of recent papers have claimed to construct solutions of Einstein's equations describing black holes surrounded by dark-matter halos with empirically motivated density profiles such as the Navarro-Frenk-White, Burkert, Einasto,…

General Relativity and Quantum Cosmology · Physics 2025-12-09 S. V. Bolokhov

We construct exact black hole solutions free of curvature singularities, sourced by dark matter halos described by galactic density profiles. Regularity of the geometry is ensured by adopting the relation $P_{r}=-\rho$ between radial…

General Relativity and Quantum Cosmology · Physics 2026-02-09 R. A. Konoplya , A. Zhidenko

We propose a new form of the rotating C-metric with cosmological constant, which generalises the form found by Hong and Teo for the Ricci-flat case. This solution describes the entire class of spherical black holes undergoing rotation and…

General Relativity and Quantum Cosmology · Physics 2016-08-10 Yu Chen , Cheryl Ng , Edward Teo

In this Letter, we present five analytical models in closed forms, each representing a supermassive black hole (SMBH) located at the center of a galaxy surrounded by dark matter (DM) halo. The density profile of the halo vanishes inside…

General Relativity and Quantum Cosmology · Physics 2024-06-21 Zibo Shen , Anzhong Wang , Yungui Gong , Shaoyu Yin

We give a full metric describing the gravitational field of a static and axisymmetric thin disk without radial pressure encircling a Schwarzschild black hole. The disk density profiles are astrophysically realistic, stretching from the…

General Relativity and Quantum Cosmology · Physics 2022-12-13 Petr Kotlařík , David Kofroň

We develop a numerical approach to compute polar parity perturbations within fully relativistic models of black hole systems embedded in generic, spherically symmetric, anisotropic fluids. We apply this framework to study gravitational wave…

General Relativity and Quantum Cosmology · Physics 2024-05-03 Nicholas Speeney , Emanuele Berti , Vitor Cardoso , Andrea Maselli

Astrophysical black holes are embedded in surrounding dark and baryonic matter that can measurably perturb the spacetime. We construct a self-consistent spacetime describing a slowly rotating black hole embedded in an external matter…

General Relativity and Quantum Cosmology · Physics 2026-02-12 Sayak Datta , Chiranjeeb Singha

In this paper we present a new black hole solution surrounded by dark matter halo in the galactic center using the mass model of M87 and that coming from the Universal Rotation Curve (URC) dark matter profile representing family of spiral…

General Physics · Physics 2019-09-04 Kimet Jusufi , Mubasher Jamil , Paolo Salucci , Tao Zhu , Sumarna Haroon

We study the energy-momentum tensor of a dark matter (DM) spike formed during the adiabatic growth of a black hole embedded in a DM halo, and investigate its backreaction on the spacetime geometry. Within the Einstein cluster framework, we…

General Relativity and Quantum Cosmology · Physics 2025-11-18 Wei Xiong , Peng-Cheng Li

Static, spherically symmetric black holes immersed in a dark matter halo with a Hernquist-type density profile have been derived by Cardoso et. al. in Ref. \redcite{Cardoso:2021wlq}. Using the Newman-Janis algorithm, we construct the metric…

General Relativity and Quantum Cosmology · Physics 2026-01-27 Malihe Heydari-Fard , Mohaddese Heydari-Fard
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