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The Penrose inequality for asymptotically locally hyperbolic spaces with nonpositive mass

Initial Data and Evolution Problems in General Relativity November 18, 2013 - November 22, 2013

November 22, 2013 (09:30 AM PST - 10:30 AM PST)
Speaker(s): Dan Lee (Queens College, CUNY)
Location: MSRI: Simons Auditorium
Video

Abstract In the asymptotically locally hyperbolic setting it is possible to have metrics with scalar curvature at least -6 and negative mass when the genus of the conformal boundary at infinity is positive. Using inverse mean curvature flow, we prove a Penrose inequality for these negative mass metrics. The motivation comes from a previous result of P. Chrusciel and W. Simon, which states that the Penrose inequality we prove implies a static uniqueness theorem for negative mass Kottler metrics
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