Effect of gravitational wave on shadow of a Schwarzschild black hole

Abstract

We have studied the shadows of a Schwarzschild black hole under a special polar gravitational perturbation, which is a particular solution of Einstein equations expanded up to first order. It is shown that the black hole shadow changes periodically with time and the change of shadow depends on the Legendre polynomial order parameter l and the frequency σ of gravitational wave. For the odd order of Legendre polynomial, the center of shadow oscillates along the direction which is vertical to equatorial plane. For even l, the center of shadow does not move, but the shadow alternately stretches and squeezes with time along the vertical direction. Moreover, the presence of the gravitational wave leads to the self-similar fractal structures appearing in the boundary of the black hole shadow. We also find that this special gravitational wave has a greater influence on the vertical direction of black hole shadow.

20 pages, 12 figures

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• Shadow and deflection angle of asymptotic, magnetically-charged, non-singular black hole
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• GUP-corrected black holes: Thermodynamic properties, evaporation time and shadow constraint from EHT Observations of M87* and Sgr A*
• Constraining a one-dimensional wave-type gravitational wave parameter through the shadow of M87* via Event Horizon Telescope
• Exploring light deflection and black hole shadows in Rastall theory with plasma effects
• Determination of the spin parameter and the inclination angle by the relativistic images in black hole image
• The ring-shaped shadow of rotating naked singularity with a complete photon sphere
• Forward Ray Tracing and Hot Spots in Kerr Spacetime
• Imprints of a gravitational wave through the weak field deflection of photons
• The surface geometry and shadow of a Schwarzschild black hole with halo
• Gauss-Bonnet lensing of spinning massive particles in static spherically symmetric spacetimes
• Asymptotically-Flat Black Hole Solutions in Symmergent Gravity
• Ringdown of a black hole sourced by a Burkert-density effective anisotropic source