Dark matter effect on the weak deflection angle by black holes at the center of Milky Way and M87 galaxies

Abstract

In this paper, we investigated the effect of dark matter on the weak deflection angle by black holes at the galactic center. We consider three known dark matter density profiles such as the Cold Dark Matter (CDM), Scalar Field Dark Matter (SFDM), and the Universal Rotation Curve (URC) from the Burkert profile. To achieve this goal, we used how the positional angles are measured by Ishihara et al. method based on Gauss-Bonnet theorem (GBT) on the optical metric. With the help of the non-asymptotic form of the GBT, the longitudinal angle difference is also calculated. First, we find the emergence of apparent divergent terms on the said profiles, which indicates that the spacetime describing the black hole-dark matter combination is non-asymptotic. We showed that these apparent divergent terms vanish when the distance of the source and receiver are astronomically distant from the black hole. Using the current observational data in the Milky Way and M87 galaxies, we find interesting behaviors of how the weak deflection angle varies with the impact parameter, which gives us some hint on how dark matter interacts with the null particles for each dark matter density profile. We conclude that since these deviations are evident near the dark matter core radius, the weak deflection angle offers a better alternative for dark matter detection than using the deviation from the black hole shadow. With the DM profiles explored in this study, we find that SFDM is the most difficult to detect, while the easiest is the URC profile. With the dark matter profiles explored in this study, we find that the variation of the values for weak deflection angle strongly depends on the dark matter mass on a particular profile.

11 pages, 9 figures. Corrected some typos, added Einstein ring discussion

References in corpus (28)

• First results from DAMA/LIBRA and the combined results with DAMA/NaI
• Light ring stability in ultra-compact objects
• The Universal Rotation Curve of Spiral Galaxies. II The Dark Matter Distribution out to the Virial Radius
• Applications of the Gauss-Bonnet theorem to gravitational lensing
• Shadow of a black hole surrounded by dark matter
• Magnetically charged black holes from non-linear electrodynamics and the Event Horizon Telescope
• RadioAstron -- a Telescope with a Size of 300 000 km: Main Parameters and First Observational Results
• Gravitational Lensing by Rotating Wormholes
• Finite-distance corrections to the gravitational bending angle of light in the strong deflection limit
• The effect of the Brane-Dicke coupling parameter on weak gravitational lensing by wormholes and naked singularities
• A comparison of approximate gravitational lens equations and a proposal for an improved new one
• Stationary Metrics and Optical Zermelo-Randers-Finsler Geometry
• Weak gravitational lensing of regular black holes with cosmic strings using the Gauss-Bonnet theorem
• Finite-distance gravitational deflection of massive particles by the Kerr-like black hole in the bumblebee gravity model
• Circular orbit of a particle and weak gravitational lensing
• Effect of the dilaton field and plasma medium on deflection angle by black holes in Einstein-Maxwell-dilaton-axion theory
• Effect of Non-linear Electrodynamics on Weak field deflection angle by Black Hole
• Weak deflection angle of black-bounce traversable wormholes using Gauss-Bonnet theorem in the dark matter medium
• Effect of the quintessential dark energy on weak deflection angle by Kerr-Newmann Black hole
• Motion of Particles and Gravitational Lensing Around (2+1)-dimensional BTZ black holes in Gauss-Bonnet Gravity
• Uninformed Hawking Radiation
• Geometrization of light bending and its application to SdSw spacetime
• Gravitational Lensing Effect on the Hawking Radiation of Dyonic Black Holes
• Gravitational lens without asymptotic flatness: Its application to the Weyl gravity
• Weak Gravitational lensing by Bocharova-Bronnikov-Melnikov-Bekenstein black holes using Gauss-bonnet theorem
• Null Geodesics and Repulsive Behavior of Gravity in (2+1)-dimensional Massive Gravity
• Baryogenesis through Asymmetric Hawking Radiation from Primordial Black Holes as Dark Matter
• Limits on Primordial Black Holes from M87

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