scholarly journals Noether Gauge Symmetries for Petrov Type D-Levi-Civita Space-Time in Spherical and Cylindrical Coordinates

2016 ◽  
Vol 2016 ◽  
pp. 1-8 ◽  
Author(s):  
Adil Jhangeer ◽  
Tayyaba Naz
Keyword(s):  
Space Time ◽  
Petrov Type ◽  
Conserved Quantities ◽  
Restricted Range ◽  
Cylindrical Coordinates ◽  
Type D ◽  
Gauge Symmetries ◽  
Petrov Type D

Petrov Type D-Levi-Civita (DLC) space-time is considered in two different coordinates, that is, spherical and cylindrical. Noether gauge symmetries and their corresponding conserved quantities for respective metric with the restricted range of parameters and coordinates are discussed.

scholarly journals Cylindrically Symmetric, Asymptotically Flat, Petrov Type D Spacetime with a Naked Curvature Singularity and Matter Collapse

2017 ◽  
Vol 2017 ◽  
pp. 1-6 ◽  
Author(s):  
Faizuddin Ahmed
Keyword(s):  
Cosmic Time ◽  
Petrov Type ◽  
Energy Conditions ◽  
Anisotropic Fluid ◽  
Curvature Singularity ◽  
Field Equations ◽  
Asymptotically Flat ◽  
Type D ◽  
Cylindrically Symmetric ◽  
Petrov Type D

We present a cylindrically symmetric, Petrov type D, nonexpanding, shear-free, and vorticity-free solution of Einstein’s field equations. The spacetime is asymptotically flat radially and regular everywhere except on the symmetry axis where it possesses a naked curvature singularity. The energy-momentum tensor of the spacetime is that for an anisotropic fluid which satisfies the different energy conditions. This spacetime is used to generate a rotating spacetime which admits closed timelike curves and may represent a Cosmic Time Machine.

scholarly journals Petrov type D equation on horizons of nontrivial bundle topology

2019 ◽  
Vol 100 (8) ◽  
Author(s):  
Denis Dobkowski-Ryłko ◽  
Jerzy Lewandowski ◽  
István Rácz
Keyword(s):  
Petrov Type ◽  
Type D ◽  
Petrov Type D

scholarly journals Petrov type D pure radiation fields of Kundt's class

1990 ◽  
Vol 7 (4) ◽  
pp. 577-580 ◽  
Author(s):  
P Wils ◽  
N Van den Bergh
Keyword(s):  
Petrov Type ◽  
Pure Radiation ◽  
Radiation Fields ◽  
Type D ◽  
Petrov Type D

Huygens' Principle on Petrov Type D Space-Times

1989 ◽  
Vol 501 (8) ◽  
pp. 593-597 ◽  
Author(s):  
V. Wünsch
Keyword(s):  
Petrov Type ◽  
Type D ◽  
Huygens Principle ◽  
Petrov Type D
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