scholarly journals The Global Nonlinear Stability of Minkowski Space for Self-gravitating Massive Fields

2016 ◽  
Vol 346 (2) ◽  
pp. 603-665 ◽  
Author(s):  
Philippe G. LeFloch ◽  
Yue Ma
Keyword(s):  
Minkowski Space ◽  
Nonlinear Stability ◽  
Massive Fields

On the twistor description of massive fields

1981 ◽  
Vol 374 (1758) ◽  
pp. 431-445 ◽  
Keyword(s):  
Minkowski Space ◽  
Complex Manifold ◽  
Twistor Space ◽  
Spin Operator ◽  
Dirac Equations ◽  
Penrose Transform ◽  
Twistor Description ◽  
Integral Formulae ◽  
Massless Fields ◽  
Massive Fields

This paper forms a part of the twistor programme whereby constructions of physics on Minkowski space are transferred, it is hoped, to simpler constructions on Penrose’s twistor-space . We show how the Penrose transform may be used to describe solutions of the Dirac equations on Minkowski space in terms of certain cohomology classes on a related five-dimensional complex manifold. This is accomplished along the same lines as the corresponding representation of massless fields. It means that Penrose’s integral formulae for massive fields may be interpreted cohomologically. We also give a brief discussion of the spin operator in twistor space.

On generalized partially null Mannheim curves in Minkowski space-time

2016 ◽  
Vol 46 (1) ◽  
pp. 159-170 ◽  
Author(s):  
Emilija Nešović ◽  
Milica Grbović
Keyword(s):  
Minkowski Space ◽  
Space Time ◽  
Minkowski Space Time
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