On the structure and stability of rapidly rotating fluid bodies in general relativity. I - The numerical method for computing structure and its application to uniformly rotating homogeneous bodies

1976 ◽  
Vol 204 ◽  
pp. 200 ◽  
Author(s):  
E. M. Butterworth ◽  
J. R. Ipser
Keyword(s):  
General Relativity ◽  
Numerical Method ◽  
Rotating Fluid ◽  
Structure And Stability ◽  
Computing Structure

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.

The gravitational field of a rotating fluid mass in general relativity

1962 ◽  
Vol 270 (1343) ◽  
pp. 467-492 ◽  
Keyword(s):  
General Relativity ◽  
Gravitational Field ◽  
Residual Energy ◽  
The Body ◽  
Energy Tensor ◽  
Constant Density ◽  
Rotating Fluid ◽  
Fluid Mass

A method recently given by Das, Florides & Synge is now slightly modified and applied to find the gravitational field of a steadily rotating fluid mass, not necessarily of constant density. The result is approximate in the sense that, outside the body, there is a residual energy tensor T ij such that is small of the order (m/a) 3 , where m is the mass of the body and a a typical radius.

Black Hole, Neutron Star and Numerical Relativity

2021 ◽  
Vol 30 (6) ◽  
pp. 7-13
Author(s):  
Jinho KIM
Keyword(s):  
Black Holes ◽  
General Relativity ◽  
Black Hole ◽  
Neutron Star ◽  
Neutron Stars ◽  
Numerical Method ◽  
High Velocity ◽  
Compact Objects ◽  
Compact Stars ◽  
Speed Of Light

Compact stars, e.g., black holes and neutron stars, are the most energetic objects in astrophysics. These objects are accompanied by extremely strong gravity and a high velocity, which approaches the speed of light. Therefore, compact objects should be dealt with in Einstein’s relativity. This article will briefly introduce a numerical method that will allow us to obtain general solutions in general relativity. Several applications using numerical relativistic simulations will also be presented.

Rapidly rotating fluid bodies in general relativity

1975 ◽  
Vol 200 ◽  
pp. L103 ◽  
Author(s):  
E. M. Butterworth ◽  
J. R. Ipser
Keyword(s):  
General Relativity ◽  
Rotating Fluid
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