Einstein–Cartan theory in the spin coefficient formalism

1980 ◽  
Vol 21 (6) ◽  
pp. 1449-1454 ◽  
Author(s):  
R. Gambini ◽  
L. Herrera
Keyword(s):  
Spin Coefficient ◽  
Cartan Theory ◽  
Coefficient Formalism

Angular momentum in general relativity I. Definition and asymptotic behaviour

1977 ◽  
Vol 354 (1679) ◽  
pp. 379-405 ◽  
Keyword(s):  
General Relativity ◽  
Black Hole ◽  
Angular Momentum ◽  
Asymptotic Behaviour ◽  
Event Horizon ◽  
Conservation Law ◽  
General Definition ◽  
Field Equations ◽  
Spin Coefficient ◽  
Coefficient Formalism

Angular momentum in axisymmetric space-times is investigated. The conclusions lead to a general definition suitable for all asymptoticallyflat spaces which is valid both at infinity and on the event horizon of a black hole. This first paper restricts attention to considerations at infinity. Working in terms of the spin coefficient formalism, the field equations are solved asymptotically at large distances and the definition is evaluated. A conservation law is derived and finally the effect on the angular momentum of a supertranslation of the coordinates is discussed.

SPACE–TIMES WITH A TWO-DIMENSIONAL GROUP OF CONFORMAL MOTIONS

1996 ◽  
Vol 11 (05) ◽  
pp. 845-861 ◽  
Author(s):  
CHARALAMPOS KOLASSIS ◽  
GARRY LUDWIG
Keyword(s):  
Simple Proof ◽  
Sufficient Conditions ◽  
Conformal Killing ◽  
Two Dimensional ◽  
Spin Coefficient ◽  
Dimensional Group ◽  
Star Operation ◽  
Conformal Killing Vectors ◽  
Necessary And Sufficient ◽  
Coefficient Formalism

The necessary and sufficient conditions for a space–time to admit a two-dimensional group of conformal motions (and, in particular, of homothetic motions) acting on nonnull orbits are found in the compacted spin-coefficient formalism. Although the discussion is restricted to the case of spacelike orbits, similar results are readily obtained for timelike orbits via the (modified) Sachs star operation. A number of theorems are obtained dealing with such topics as the Gaussian curvature of the group orbits, orthogonal transitivity, and hypersurface orthogonality of the conformal Killing vectors. A simple proof is presented of a generalization of a theorem due to Papapetrou.

scholarly journals Spin-coefficient formalism

Scholarpedia ◽  
2009 ◽  
Vol 4 (6) ◽  
pp. 7445 ◽  
Author(s):  
Ezra Newman ◽  
Roger Penrose
Keyword(s):  
Spin Coefficient ◽  
Coefficient Formalism

scholarly journals NEUTRINO ASYMMETRY IN GENERAL RELATIVISTIC ROTATING RADIATIVE STARS

2003 ◽  
Vol 12 (06) ◽  
pp. 1047-1052
Author(s):  
L. C. GARCIA DE ANDRADE
Keyword(s):  
Field Approximation ◽  
Test Field ◽  
Spin Coefficient ◽  
Gravitational Fields ◽  
General Relativistic ◽  
Coefficient Formalism

Neutrino asymmetry in general relativistic radiative spacetime exterior to spinning stars is investigating by making use of Newman–Penrose (NP) spin coefficient formalism. It is shown that neutrino current depends on the direction of rotation of the star. The solution is obtained in test field approximation where the neutrinos do not generate gravitational fields.

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