Hyperbolic positive mass theorem under modified energy condition |
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Authors: | NaQing Xie |
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Affiliation: | (1) Institute of Mathematics, School of Mathematical Sciences, Fudan University, Shanghai, 200433, China |
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Abstract: | We provide two new positive mass theorems under respective modified energy conditions allowing T00 negative on some compact set for certain modified asymptotically hyperbolic manifolds. This work is analogous to Zhang’s previous result for modified asymptotically flat initial data sets. |
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Keywords: | positive mass theorem modified energy condition modified asymptotically hyperbolic |
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