Web22. dec 2016 · We derive the Space-Time Positive Mass theorem in arbitrary dimensions, without topological constraints. The main new tools are skin structures and surgeries on minimal and marginally outer... Web11. jún 2024 · Abstract. The rigidity statement of the positive mass theorem asserts that an asymptotically flat initial data set for the Einstein equations with zero ADM mass, and …

Remark on the nonlinear stability of Minkowski spacetime: a …

Web6. apr 2024 · Download Citation Remark on the nonlinear stability of Minkowski spacetime: a rigidity theorem In the framework of the nonlinear stability of Minkowski spacetime, we show that if the radiation ... WebAbstract: One of the central results in mathematical relativity is the positive mass theorem which has first been proven by Schoen-Yau using minimal surfaces, and Witten using spinors. We show how the level-sets of spacetime harmonic functions can be used to give a new proof of the spacetime positive mass theorem. bridgend bothy

Equality in the Spacetime Positive Mass Theorem SpringerLink

WebThe spacetime positive mass theorem in dimensions less than eight 2 where (E;P) is the ADM energy-momentum vector of (M;g;k). We brie y survey earlier results: The special … WebPositive Mass Theorem Positive Mass Rigidity Result Trapped Surfaces Rigidity Results Special Case AbstractWe prove several rigidity results related to the spacetime positive mass theorem. A key step is to show that certain marginally outer trapped surfaces are weakly outermost. WebNegative inertia is an unusual and counter-intuitive property of matter, extensively investigated in some of the most exotic branches of physics and engineering at both macroscopic and microscopic levels. Such an exotic property promises a wide range of applications, from Alcubierre drive to acoustic wave manipulation. Here, a novel approach … can\u0027t login to mojag account