A new coordinate condition, and elementary flatness, for axially symmetric interior solutions in general relativity

1972 ◽  
Vol 6 (1) ◽  
pp. 53-59 ◽  
Author(s):  
D. Rawson-Harris
Keyword(s):  
General Relativity ◽  
Axially Symmetric ◽  
Coordinate Condition ◽  
Interior Solutions

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.

scholarly journals Newman-Janis Ansatz for rotating wormholes

2021 ◽  
Vol 2081 (1) ◽  
pp. 012005
Author(s):  
A C Gutiérrez-Piñeres ◽  
N H Beltrán ◽  
C S López-Monsalvo
Keyword(s):  
General Relativity ◽  
Black Hole ◽  
Field Equation ◽  
Einstein Equation ◽  
Open Problem ◽  
Einstein Field Equation ◽  
Kerr Black Hole ◽  
Rotating Fluids ◽  
Anisotropic Pressures ◽  
Interior Solutions

Abstract A central problem in General Relativity is obtaining a solution to describe the source’s interior counterpart for Kerr black hole. Besides, determining a method to match the interior and exterior solutions through a surface free of predefined coordinates remains an open problem. In this work, we present the ansatz formulated by the Newman-Janis to generate solutions to the Einstein field equation inspired by the mention problems. We present a collection of independent classes of exact interior solutions of the Einstein equation describing rotating fluids with anisotropic pressures. Furthermore, we will elaborate on some obtained solutions by alluding to rotating wormholes.

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