scholarly journals Reducibility of valence-3 Killing tensors in Weyl’s class of stationary and axially symmetric spacetimes

2015 ◽  
Vol 92 (8) ◽  
Author(s):  
Andreas Vollmer
Keyword(s):  
Axially Symmetric ◽  
Killing Tensors ◽  
Symmetric Spacetimes

Optical reference geometry for stationary and axially symmetric spacetimes

1995 ◽  
Vol 12 (6) ◽  
pp. 1467-1472 ◽  
Author(s):  
Marek A Abramowicz ◽  
Pawel Nurowski ◽  
Norbert Wex
Keyword(s):  
Axially Symmetric ◽  
Symmetric Spacetimes ◽  
Optical Reference

scholarly journals Scalar resonances in axially symmetric spacetimes

2015 ◽  
Vol 24 (05) ◽  
pp. 1550037
Author(s):  
Ignacio F. Ranea-Sandoval ◽  
Héctor Vucetich
Keyword(s):  
Wave Equation ◽  
Scalar Wave ◽  
Axially Symmetric ◽  
Closed Timelike Curves ◽  
Scalar Wave Equation ◽  
Kerr Spacetime ◽  
Symmetric Spacetimes ◽  
Resonant Modes ◽  
Unstable Solutions ◽  
Scalar Resonances

We study properties of resonant solutions to the scalar wave equation in several axially symmetric spacetimes. We prove that nonaxial resonant modes do not exist neither in the Lanczos dust cylinder, the extreme (2 + 1) dimensional Bañados–Taitelboim–Zanelli (BTZ) spacetime nor in a class of simple rotating wormhole solutions. Moreover, we find unstable solutions to the wave equation in the Lanczos dust cylinder and in the r2 < 0 region of the extreme (2 + 1) dimensional BTZ spacetime, two solutions that possess closed timelike curves. Similarities with previous results obtained for the Kerr spacetime are explored.

scholarly journals TELEPARALLEL ENERGY–MOMENTUM DISTRIBUTION OF STATIC AXIALLY SYMMETRIC SPACETIMES

2008 ◽  
Vol 23 (37) ◽  
pp. 3167-3177 ◽  
Author(s):  
M. SHARIF ◽  
M. JAMIL AMIR
Keyword(s):  
General Relativity ◽  
Energy Density ◽  
Momentum Distribution ◽  
Coupling Constant ◽  
Axially Symmetric ◽  
Symmetric Spacetimes ◽  
Teleparallel Theory ◽  
Theory Of Gravity ◽  
Comparison Of The Results ◽  
Special Case

This paper is devoted to discuss the energy–momentum for static axially symmetric spacetimes in the framework of teleparallel theory of gravity. For this purpose, we use the teleparallel versions of Einstein, Landau–Lifshitz, Bergmann and Möller prescriptions. A comparison of the results shows that the energy density is different but the momentum turns out to be constant in each prescription. This is exactly similar to the results available in literature using the framework of general relativity. It is mentioned here that Möller energy–momentum distribution is independent of the coupling constant λ. Finally, we calculate energy–momentum distribution for the Curzon metric, a special case of the above-mentioned spacetime.

Dualities and geometrical invariants for static and spherically symmetric spacetimes

2016 ◽  
Vol 25 (09) ◽  
pp. 1641007
Author(s):  
Paola Terezinha Seidel ◽  
Luís Antonio Cabral
Keyword(s):  
General Class ◽  
Hamiltonian Formalism ◽  
Spherically Symmetric ◽  
Conserved Quantities ◽  
Singularity Structure ◽  
Killing Tensors ◽  
Symmetric Spacetimes ◽  
Killing Equation ◽  
Spherically Symmetric Spacetimes ◽  
Spacetime Metric

In this work, we consider spinless particles in curved spacetime and symmetries related to extended isometries. We search for solutions of a generalized Killing equation whose structure entails a general class of Killing tensors. The conserved quantities along particle’s geodesic are associated with a dual description of the spacetime metric. In the Hamiltonian formalism, some conserved quantities generate a dual description of the metric. The Killing tensors belonging to the conserved objects imply in a nontrivial class of dual metrics even for a Schwarzschild metric in the original spacetime. From these metrics, we construct geometrical invariants for classes of dual spacetimes to explore their singularity structure. A nontrivial singularity behavior is obtained in the dual sector.

scholarly journals Newtonian limit of axially symmetric spacetimes

1992 ◽  
Vol 46 (4) ◽  
pp. 1866-1868 ◽  
Author(s):  
G. Philip Perry ◽  
C. Sean Bohun
Keyword(s):  
Newtonian Limit ◽  
Axially Symmetric ◽  
Symmetric Spacetimes
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