No-Hair Theorem in the Wake of Event Horizon Telescope

Abstract

Thanks to the release of the extraordinary EHT image of shadow attributed to the M87* supermassive black hole (SMBH), we have a novel window to assess the validity of fundamental physics in the strong-field regime. Motivated by this, we consider Johannsen \& Psaltis metric parameterized by mass, spin, and an additional dimensionless hair parameter $\epsilon$. This parametric framework in the high rotation regimes provides a well-behaved bed to the strong-gravity test of the no-hair theorem (NHT) using the EHT data. Incorporating the $\epsilon$ into the standard Kerr spacetime enrich it in the sense that, depending on setting the positive and negative values for that, we deal with alternative compact objects: deformed Kerr naked singularity and Kerr BH solutions, respectively. Shadows associated with these two possible solutions indicate that the deformation parameter $\epsilon$ affects the geometry shape of standard shadow such that it becomes more oblate and prolate with $\epsilon <0$ and $\epsilon >0$, respectively. By scanning the window associated with three shadow observables oblateness, deviation from circularity, and shadow diameter, we perform a numerical analysis within the range $a_{\ast }=0.9\mp 0.1$ of the dimensionless rotation parameter, to find the constraints on the hair parameter $\epsilon$ in both possible solutions. For both possible signs of $\epsilon$, we extract a variety of upper bounds that are in interplay with $a_{\ast }$. Although by approaching the rotation parameters to the extreme limit, the allowable range of both hair parameters becomes narrower, the hairy Kerr BH solution is a more promising candidate to play the role of the alternative compact object instead of the standard Kerr BH. The lack of tension between hairy Kerr BH with the current observation of the EHT shadow of the M87* SMBH carries this message that there is the possibility of NHT violation.

31 pages, 14 figures, v2: minorly revised, accepted for publication in JCAP

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• Superradiance evolution of black hole shadows revisited
• Weak Gravitational Lensing in Dark Matter and Plasma Mediums for Wormhole-like Static Aether Solution
• Thermodynamics and Shadows of GUP-corrected Black Holes with Topological Defects in Bumblebee Gravity
• Magnetic Reconnection and Energy Extraction from a Spinning Black Hole with Broken Lorentz Symmetry
• 4D scale-dependent Schwarzschild-AdS/dS black holes: study of shadow and weak deflection angle and greybody bounding
• Shape of higher-order images of equatorial emission rings around a Schwarzschild black hole: Analytical description with polar curves
• Constraints on charged Symmergent black hole from shadow and lensing
• Deflection angle and shadow of the Reissner-Nordström black hole with higher-order magnetic correction in Einstein-nonlinear-Maxwell fields
• Shadow and greybody bounding of a regular scale-dependent black hole solution
• Analytic topological hairy dyonic black holes and thermodynamics
• Magnetically Charged Euler-Heisenberg Black Holes with Scalar Hair
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• Particle motion and tidal force in a non-vacuum-charged naked singularity
• Thin accretion disk images of the black hole in symmergent gravity