scholarly journals Gerardy: Christian Ludwig Gerling an Carl Friedrich Gauss/Vainberg: Variational Methods for the Study of Nonlinear Operators/Zurmühl: Matrizen und ihre technischen Anwendungen/Bradford: Elementare Topologie/Petrow: Einstein-Räume/Weber: General Relativity

1964 ◽  
Vol 20 (11) ◽  
pp. 543-549
Author(s):  
K. Strubecker ◽  
M. Päsler ◽  
K. Westpfahl ◽  
H. Walter ◽  
H. Schopper ◽  
...  
Keyword(s):  
General Relativity ◽  
Variational Methods ◽  
Nonlinear Operators

Variational Methods for the Study of Nonlinear Operators

1966 ◽  
Vol 73 (10) ◽  
pp. 1134
Author(s):  
E. H. Rothe ◽  
M. M. Vainberg ◽  
L. M. Kantorovich ◽  
G. P. Akilov ◽  
Amiel Feinstein
Keyword(s):  
Variational Methods ◽  
Nonlinear Operators

Variational methods with torsion in general relativity

1977 ◽  
Vol 60 (1) ◽  
pp. 1-2 ◽  
Author(s):  
John L. Safko ◽  
Michael Tsamparlis ◽  
Fredrick Elston
Keyword(s):  
General Relativity ◽  
Variational Methods

Variational methods and positive energy in general relativity

1968 ◽  
Vol 50 (3) ◽  
pp. 548-570 ◽  
Author(s):  
Dieter R Brill ◽  
Stanley Deser
Keyword(s):  
General Relativity ◽  
Variational Methods ◽  
Positive Energy

Bondi’s vector, and the Seliger & Whitham Variational Principle for matter fields

1979 ◽  
Vol 368 (1732) ◽  
pp. 59-73
Keyword(s):  
General Relativity ◽  
Variational Principle ◽  
Variational Methods ◽  
Poynting Vector ◽  
Equations Of Motion ◽  
Direct Calculation ◽  
Newtonian Limit ◽  
Conserved Quantities ◽  
Matter Fields

Bondi’s Newtonian Poynting Vector is extended to other ‘Bondi-type’ conserved quantities, which are also derived by variational methods. By means of the technique of Seliger & Whitham it is shown that they are the expressions which arise most naturally in contexts concerned with the equations of motion. The pseudo-tensor derived from the Lagrangian R √(— g) is the corresponding expression in General Relativity; direct calculation verifies that it tends to Bondi’s vector in the Newtonian limit.

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