A positive quasilocal mass for causal variational principles

URN to cite this document:: urn:nbn:de:bvb:355-epub-751109
DOI to cite this document:: 10.5283/epub.75110

Finster, Felix

; Kamran, Niky

License: Creative Commons Attribution 4.0
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Date of publication of this fulltext: 06 Mar 2025 05:15

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Abstract

A new inequality for a nonlinear surface layer integral is proved for minimizers of causal variational principles. This inequality is applied to obtain a new proof of the positive mass theorem with volume constraint. Next, a positive mass theorem without volume constraint is stated and proved by introducing and using the concept of asymptotic alignment. Moreover, a positive quasilocal mass and a ...