Shadow response of a Schwarzschild black hole in a gravitational standing wave
Motivated by Mandel (2005 Phys. Rev. D 72 084025) and Szybka et al (2019 Phys. Rev. D 100 064025), we develop a perturbative theory of the shadow response of a Schwarzschild black hole to an auxiliary weak standing-wave perturbation. The shadow is defined geometrically as the capture–escape separatrix of the null Hamil...