scholarly journals Source integrals for multipole moments in static and axially symmetric spacetimes

2014 ◽  
Vol 90 (2) ◽  
Author(s):  
Norman Gürlebeck
Keyword(s):  
Axially Symmetric ◽  
Multipole Moments ◽  
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.

scholarly journals THE ISRAEL THEOREM: WHAT IS NATURE TRYING TO TELL US?

2008 ◽  
Vol 17 (03n04) ◽  
pp. 557-561 ◽  
Author(s):  
L. HERRERA
Keyword(s):  
Time Scale ◽  
Einstein Equations ◽  
Axially Symmetric ◽  
Multipole Moments ◽  
Schwarzschild Solution ◽  
Small Deviations ◽  
Asymptotically Flat ◽  
Physical Consequences ◽  
Physical Phenomena ◽  
Vacuum Space

We explore the possible physical consequences derived from the fact that the only static and asymptotically flat vacuum space–time possessing a regular horizon is the Schwarzschild solution (Israel theorem). If small deviations from the Schwarzschild metric are described by means of exact solutions to Einstein equations (as should be the case), then for very compact configurations, at the time scale at which radiatable multipole moments are radiated away, important physical phenomena should occur, as illustrated by some results on different solutions belonging to the Weyl class of static, axially symmetric solutions to the Einstein equations.

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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