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Backreaction of mass and angular momentum accretion on black holes: General formulation of metric perturbations and application to the Blandford–Znajek process

Backreaction of mass and angular momentum accretion on black holes: General formulation of metric perturbations and application to the Blandford–Znajek process

Abstract We study the metric backreaction of mass and angular momentum accretion on black holes. We first develop the formalism of monopole and dipole linear gravitational perturbations around Schwarzschild black holes in Eddington–Finkelstein coordinates against generic time-dependent matter. We derive the relation between the time dependence of the mass and …