scholarly journals Boost–rotation symmetric vacuum space–times with spinning sources

2002 ◽  
Vol 43 (3) ◽  
pp. 1536-1546 ◽  
Author(s):  
A. Pravdová ◽  
V. Pravda
Keyword(s):  
Rotation Symmetric ◽  
Symmetric Vacuum ◽  
Vacuum Space

scholarly journals On the sources of static plane symmetric vacuum space-times

1998 ◽  
Vol 244 (6) ◽  
pp. 462-466 ◽  
Author(s):  
M.F.A. da Silva ◽  
Anzhong Wang ◽  
N.O. Santos
Keyword(s):  
Plane Symmetric ◽  
Symmetric Vacuum ◽  
Static Plane ◽  
Vacuum Space

scholarly journals Asymptotic behavior in polarized T2-symmetric vacuum space–times

1999 ◽  
Vol 40 (1) ◽  
pp. 340-352 ◽  
Author(s):  
James Isenberg ◽  
Satyanad Kichenassamy
Keyword(s):  
Asymptotic Behavior ◽  
Symmetric Vacuum ◽  
Vacuum Space

ON BOOST-ROTATION SYMMETRIC SPACE–TIMES WITH (NON)SPINNING SOURCES

2002 ◽  
Vol 17 (20) ◽  
pp. 2771-2771
Author(s):  
V. PRAVDA ◽  
A. PRAVDOVÁ
Keyword(s):  
Gravitational Field ◽  
Moving Objects ◽  
Axially Symmetric ◽  
Null Infinity ◽  
Additional Symmetry ◽  
Asymptotically Flat ◽  
Symmetric Spacetimes ◽  
Rotation Symmetric ◽  
Symmetric Vacuum ◽  
Accelerated Particles

Boost-rotation symmetric spacetimes are the only axially symmetric vacuum spacetimes with an additional symmetry that are radiative and admit global null infinity1,2. They are the only radiative asymptotically flat exact solutions representing the gravitational field of moving objects – uniformly accelerated "particles" of various kinds3. The general theory of boost-rotation symmetric spacetimes was first developed for nonspinning sources4 (i.e. for hypersurface orthogonal Killing vectors) and later partially generalized for spinning sources5. The C-metric3 and the spinning C-metric6,7,8 belonging to this class were analyzed. With appropriately chosen parameters they represent the gravitational field of uniformly accelerated Schwarzschild and Kerr black or white holes. Stability of geodesics describing co-accelerated particles was also studied using an effective potential9 and a Lyapunov function8.

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