jang equation
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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.

scholarly journals Jenkins–Serrin-type results for the Jang equation

2016 ◽  
Vol 102 (2) ◽  
pp. 207-242 ◽  
Author(s):  
Michael Eichmair ◽  
Jan Metzger
Keyword(s):  
Jang Equation

scholarly journals Existence and Blow-Up Behavior for Solutions of the Generalized Jang Equation

2013 ◽  
Vol 38 (12) ◽  
pp. 2199-2237 ◽  
Author(s):  
Qing Han ◽  
Marcus Khuri
Keyword(s):  
Blow Up ◽  
Jang Equation

scholarly journals The Jang Equation Reduction of the Spacetime Positive Energy Theorem in Dimensions Less Than Eight

2013 ◽  
Vol 319 (3) ◽  
pp. 575-593 ◽  
Author(s):  
Michael Eichmair
Keyword(s):  
Positive Energy ◽  
Jang Equation

scholarly journals On blow-up solutions of the Jang equation in spherical symmetry

2010 ◽  
Vol 27 (6) ◽  
pp. 065001 ◽  
Author(s):  
Catherine Williams
Keyword(s):  
Spherical Symmetry ◽  
Blow Up ◽  
Jang Equation

scholarly journals A Jang equation approach to the Penrose inequality

2010 ◽  
Vol 27 (2) ◽  
pp. 741-766 ◽  
Author(s):  
Hubert L. Bray ◽  
◽  
Marcus A. Khuri ◽  
Keyword(s):  
Equation Approach ◽  
Penrose Inequality ◽  
Jang Equation

scholarly journals The Jang equation, apparent horizons and the Penrose inequality

2004 ◽  
Vol 21 (24) ◽  
pp. 5777-5787 ◽  
Author(s):  
Edward Malec ◽  
Niall Ó Murchadha
Keyword(s):  
Penrose Inequality ◽  
Apparent Horizons ◽  
Jang Equation
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