A Penrose-like inequality for maximal asymptotically flat spin initial data sets |
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Authors: | Daniel Maerten |
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Institution: | (1) Institut de Mathématiques, Université de Neuchatel, Rue Emile Argand 11, CP 158, 2009 Neuchatel, Switzerland |
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Abstract: | We prove a Penrose-like inequality for the mass of a large class of constant mean curvature (CMC) asymptotically flat n-dimensional spin manifolds which satisfy the dominant energy condition and have a future converging, or past converging compact
and connected boundary of non-positive mean curvature and of positive Yamabe invariant. We prove that for every n ≥ 3 the mass is bounded from below by an expression involving the norm of the linear momentum, the volume of the boundary,
dimensionless geometric constants and some normalized Sobolev ratio. |
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Keywords: | Penrose inequality Asymptotically flat manifolds Mass Linear momentum Conformal methods Dirac operator Spinors |
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