Non-teleology and motion of a tidally perturbed Schwarzschild black hole

          @misc{ pirsa_PIRSA:21070000,
            doi = {10.48660/21070000},
            url = {https://pirsa.org/21070000},
            author = {Sam, Zeyd},
            keywords = {Other},
            language = {en},
            title = {Non-teleology and motion of a tidally perturbed Schwarzschild black hole},
            publisher = {Perimeter Institute},
            year = {2021},
            month = {jun},
            note = {PIRSA:21070000 see, \url{https://pirsa.org}}
          }
          

Abstract

The prospect of gravitational wave astronomy with EMRIs has motivated increasingly accurate perturbative studies of binary black hole dynamics. Studying the apparent and event horizon of a perturbed Schwarzschild black hole, we find that the two horizons are identical at linear order regardless of the source of perturbation. This implies that the seemingly teleological behaviour of the linearly perturbed event horizon, previously observed in the literature, cannot be truly teleological in origin. The two horizons do generically differ at second order in some ways, but their Hawking masses remain identical. In the context of tidal distortion by a small companion, we also show how the perturbed event horizon in a small-mass-ratio binary is effectively localized in time, and we numerically visualize unexpected behaviour in the black hole’s motion around the binary’s center of mass.