scholarly journals Classification of Petrov Type D Empty Einstein Spaces with Diverging Null Geodesic Congruences

1982 ◽  
Vol 67 (3) ◽  
pp. 828-843 ◽  
Author(s):  
K.-i. Ishikawa ◽  
T. Miyashita
Keyword(s):  
Null Geodesic ◽  
Petrov Type ◽  
Type D ◽  
Einstein Spaces ◽  
Petrov Type D

Complete classification of the Wainwright Petrov type D perfect fluid models

2009 ◽  
Author(s):  
Lode Wylleman ◽  
Kerstin E. Kunze ◽  
Marc Mars ◽  
Miguel Angel Vázquez-Mozo
Keyword(s):  
Perfect Fluid ◽  
Complete Classification ◽  
Petrov Type ◽  
Fluid Models ◽  
Type D ◽  
Perfect Fluid Models ◽  
Petrov Type D

scholarly journals An exhaustive classification of aligned Petrov type D purely magnetic perfect fluids

2006 ◽  
Vol 23 (10) ◽  
pp. 3353-3359 ◽  
Author(s):  
Norbert Van den Bergh ◽  
Lode Wylleman
Keyword(s):  
Petrov Type ◽  
Type D ◽  
Perfect Fluids ◽  
Petrov Type D

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 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 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
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