scholarly journals Stability of the Spacetime Positive Mass Theorem in Spherical Symmetry

2020 ◽  
Author(s):  
Edward Bryden ◽  
Marcus Khuri ◽  
Christina Sormani
Keyword(s):  
Spherical Symmetry ◽  
Positive Mass Theorem ◽  
Positive Mass

scholarly journals The Jang Equation and the Positive Mass Theorem in the Asymptotically Hyperbolic Setting

2021 ◽  
Author(s):  
Anna Sakovich
Keyword(s):  
Initial Data ◽  
Spatial Dimension ◽  
Positive Mass Theorem ◽  
Positive Mass ◽  
Asymptotically Hyperbolic ◽  
Jang Equation

AbstractWe solve the Jang equation with respect to asymptotically hyperbolic “hyperboloidal” initial data. The results are applied to give a non-spinor proof of the positive mass theorem in the asymptotically hyperbolic setting. This work focuses on the case when the spatial dimension is equal to three.

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