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: SLMath: Eisenbud Auditorium

Primary Mathematics Subject Classification No Primary AMS MSC

Secondary Mathematics Subject Classification No Secondary AMS MSC

Video

v1209

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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