All Stationary Vacuum Metrics with Shearing Geodesic Eigenrays

1972 ◽  
Vol 13 (11) ◽  
pp. 1695-1699 ◽  
Author(s):  
J. Kóta ◽  
Z. Perjés
Keyword(s):  
Stationary Vacuum ◽  
Vacuum Metrics

scholarly journals Vacuum solutions of Einstein equations that depend on one coordinate

2020 ◽  
pp. 10-11
Author(s):  
S. Parnovsky
Keyword(s):  
Exact Solution ◽  
General Theory ◽  
Cosmological Constant ◽  
Gravitational Wave ◽  
Einstein Equations ◽  
Theory Of Relativity ◽  
General Theory Of Relativity ◽  
Vacuum Metrics ◽  
Vacuum Solutions ◽  
Zero Frequency

In the famous textbook written by Landau and Lifshitz all the vacuum metrics of the general theory of relativity are derived, which depend on one coordinate in the absence of a cosmological constant. Unfortunately, when considering these solutions the authors missed some of the possible solutions discussed in this article. An exact solution is demonstrated, which is absent in the book by Landau and Lifshitz. It describes space-time with a gravitational wave of zero frequency. It is shown that there are no other solutions of this type than listed above and Minkowski’s metrics. The list of vacuum metrics that depend on one coordinate is not complete without solution provided in this paper.

A Note on the Factor Structure of Some Non-Rational Vacuum Metrics

2000 ◽  
Vol 32 (11) ◽  
pp. 2131-2139
Author(s):  
J. L. Hernández-Pastora ◽  
V. S. Manko ◽  
J. Martín ◽  
E. Ruiz
Keyword(s):  
Factor Structure ◽  
Vacuum Metrics

The asymptotics of stationary electro-vacuum metrics in odd spacetime dimensions

2007 ◽  
Vol 24 (4) ◽  
pp. 867-874 ◽  
Author(s):  
Robert Beig ◽  
Piotr T Chruściel
Keyword(s):  
Vacuum Metrics
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