scholarly journals New Mathematical Methods in Physics and Problems in General Relativity

1974 ◽  
Vol 30 (3) ◽  
pp. 131-134
Keyword(s):  
General Relativity ◽  
Mathematical Methods ◽  
Mathematical Methods In Physics

Mathematical Methods in Physics

1965 ◽  
Vol 16 (8) ◽  
pp. 327-327
Author(s):  
J B L Powell
Keyword(s):  
Mathematical Methods ◽  
Mathematical Methods In Physics

Mathematical Methods in Physics and Engineering

1963 ◽  
Vol 17 (84) ◽  
pp. 472
Author(s):  
George N. Trytten ◽  
John W. Dettman
Keyword(s):  
Mathematical Methods ◽  
Mathematical Methods In Physics

GENERALISED PSEUDO-RIEMANNIAN GEOMETRY FOR GENERAL RELATIVITY

2002 ◽  
Vol 17 (20) ◽  
pp. 2776-2776
Author(s):  
R. STEINBAUER ◽  
M. KUNZINGER
Keyword(s):  
General Relativity ◽  
Riemannian Geometry ◽  
Rapid Development ◽  
Generalized Functions ◽  
Field Equations ◽  
Mathematical Methods ◽  
Colombeau Algebras ◽  
Rigorous Treatment ◽  
General Relativistic ◽  
Nonlinear Generalized Functions

The study of singular spacetimes by distributional methods faces the fundamental obstacle of the inherent nonlinearity of the field equations. Staying strictly within the distributional (in particular: linear) regime, as determined by Geroch and Traschen2 excludes a number of physically interesting examples (e.g., cosmic strings). In recent years, several authors have therefore employed nonlinear theories of generalized functions (Colombeau algebras, in particular) to tackle general relativistic problems1,5,8. Under the influence of these applications in general relativity the nonlinear theory of generalized functions itself has undergone a rapid development lately, resulting in a diffeomorphism invariant global theory of nonlinear generalized functions on manifolds3,4,6. In particular, a generalized pseudo-Riemannian geometry allowing for a rigorous treatment of generalized (distributional) spacetime metrics has been developed7. It is the purpose of this talk to present these new mathematical methods themselves as well as a number of applications in mathematical relativity.

Mathematical Methods in Physics

1977 ◽  
Vol 45 (11) ◽  
pp. 1132-1132 ◽  
Author(s):  
H. W. Wyld ◽  
Edward G. Harris
Keyword(s):  
Mathematical Methods ◽  
Mathematical Methods In Physics

Mathematical Methods in Physics

1966 ◽  
Vol 34 (1) ◽  
pp. 79-79
Author(s):  
J. S. R. Chisholm ◽  
R. M. Morris ◽  
A. A. Mullin
Keyword(s):  
Mathematical Methods ◽  
Mathematical Methods In Physics
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