Static, Axially Symmetric, Interior Solution in General Relativity

1967 ◽  
Vol 153 (5) ◽  
pp. 1359-1363 ◽  
Author(s):  
Walter C. Hernandez
Keyword(s):  
General Relativity ◽  
Interior Solution ◽  
Axially Symmetric

An interior solution in general relativity

1968 ◽  
Vol 306 (1484) ◽  
pp. 1-3 ◽  
Keyword(s):  
General Relativity ◽  
Mass Density ◽  
Gravitational Mass ◽  
Interior Solution

Formulae are given for the field of a sphere of constant gravitational mass density.

Axially Symmetric Fields in General Relativity

1970 ◽  
Vol 2 (2) ◽  
pp. 410-412
Author(s):  
R. M. Misra
Keyword(s):  
General Relativity ◽  
Axially Symmetric

Rotating fluid masses in general relativity. II

1966 ◽  
Vol 62 (3) ◽  
pp. 495-501 ◽  
Author(s):  
R. H. Boyer
Keyword(s):  
General Relativity ◽  
Variational Principle ◽  
First Integrals ◽  
Constant Angular Velocity ◽  
Hydrodynamic Equations ◽  
Rotating Fluid ◽  
Axially Symmetric ◽  
Field Equations ◽  
Full Field ◽  
Specific Entropy

AbstractWe describe some properties of a stationary, isolated, axially symmetric, rotating body of perfect fluid, according to general relativity. We first specialize to the case of constant specific entropy and constant angular velocity. The latter condition is equivalent to rigidity in the Born sense; both conditions are consequences of a simple variational principle. The hydrodynamic equations can then be integrated completely. Analogous first integrals are given also for the case of differential rotation. No use is made of the full field equations.

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