scholarly journals Light cone consistency in bimetric general relativity

2001 ◽  
Author(s):  
J. Brian Pitts
Keyword(s):  
General Relativity ◽  
Light Cone ◽  
Bimetric General Relativity

Bimetric general relativity

1979 ◽  
Vol 25 (9) ◽  
pp. 266-270 ◽  
Author(s):  
N. Rosen
Keyword(s):  
General Relativity ◽  
Bimetric General Relativity

An algebraic treatment of certain classes of spinor equations with an application to general relativity

1993 ◽  
Vol 443 (1918) ◽  
pp. 409-428 ◽  
Keyword(s):  
General Relativity ◽  
Series Expansion ◽  
Taylor Series ◽  
Light Cone ◽  
Taylor Series Expansion ◽  
Algebraic Manipulation ◽  
Weyl Spinor ◽  
Starting Point ◽  
Algebraic Treatment ◽  
New Formulation

A new formulation for treating spinor equations on a spacetime is introduced and applied to the spin-2 equation for the Weyl spinor in vacuum general relativity. The power of the formalism rests on the fact that it is index free, describing structures in terms of algebraic relations which makes it well adapted for use in algebraic manipulation programs. The starting point is the fact that connections in bundles can be viewed as derivations on the algebra of sections of the bundle. In the case of the spin bundle there is a canonical operator basis that allows one to take components in a canonical way so that one can express everything in terms of scalar operators. Thus, essentially, this is a non-commutative Newman-Penrose formalism. In an application to general relativity we present an algorithm that recursively produces the terms of a Taylor series expansion of the Weyl spinor around the apex of a light cone from characteristic data given on that cone.

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