The no-hair theorem and black hole shadows

Abstract

The successful observation of M87 supermassive black hole by the Black Hole Event Horizon Telescope(EHT) provides a very good opportunity to study the theory of gravity. In this work, we obtain the exact solution for the short hair black hole (BH) in the rotation situation, and calculate in detail how hairs affect the BH shadow. For the exact solution part, using the Newman-Janis algorithm, we generalize the spherically symmetric short-hair black hole metric to the rotation case (space-time lie element (2.25)). For the BH shadow part, we study two hairy BH models. In model 1, the properties of scalar hair are determined by the parameters ${\alpha }_0$ and $L$. In model 2, the scalar hair of the BH is short hair. In this model, the shape of the BH shadow is determined by scalar charge $Q_m$ and $k$. In general, various BH hairs have different effects on the shadows, such as non-monotonic properties and intersection phenomena mentioned in this work. Using these characteristics, it is possible to test the no-hair theorem in future EHT observations, so as to have a deeper understanding of the quantum effect of BHs. In future work, we will use numerical simulations to study the effects of various hairs on BHs and their observed properties.

19 pages, 11 figures

References in corpus (11)

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• Generating rotating regular black hole solutions without complexification
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• Black holes with scalar hair in light of the Event Horizon Telescope
• No-hair theorem for Black Holes in Astrophysical Environments
• Parameter estimation of hairy Kerr black holes from its shadow and constraints from M87*
• Hairy black holes by gravitational decoupling
• Gravitational decoupling for axially symmetric systems and rotating black holes
• No-Hair Theorem in the Wake of Event Horizon Telescope
• Soft Hair as a Soft Wig
• Retesting the no-hair theorem with GW150914

Cited by in corpus (12)

• Dark matter spike around Bumblebee black holes
• Black hole surrounded by the pseudo-isothermal dark matter halo
• Shadow of slowly rotating Kalb-Ramond black holes
• Rotating black hole mimicker surrounded by the string cloud
• Modeling the black holes surrounded by a dark matter halo in the galactic center of M87
• Traces of quantum gravitational correction at third-order curvature through the black hole shadow and particle deflection at the weak field limit
• Lorentz violation signatures in the low-energy sector of Hořava gravity from black hole shadow observations
• Modified Kerr black holes surrounded by dark matter spike
• Thin Accretion Disk Around Rotating Hairy Black Hole: Radiative Property and Optical Appearance
• Gravitational odd-parity perturbation of a Horndeski hairy black hole: quasinormal mode and parameter constraint
• Strong Gravitational Lensing Effects of the Rotating Short-Haired Black Hole and Constraints from EHT Observations
• Radiative properties of thin accretion disks around rotating short-hairy black holes