# Bounds on the Bondi mass in perturbations of the Schwarzschild exteriors

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Spyros Alexakis, University of Toronto
Fine Hall 314

Please note special time (4:15).   We consider vacuum perturbations of the Schwarzschild black hole exteriors and derive bounds on the Bondi mass and energy at past null infinity in terms of the area of certain carefully chosen sections of the apparent horizon.  The method relies on a perturbation argument; in particular it only requires a slab of space-time around a smooth null surface originating on the apparent horizon and terminating at past null infinity.