scholarly journals Doubly torqued vectors and a classification of doubly twisted and Kundt spacetimes

2021 ◽  
Vol 53 (4) ◽  
Author(s):  
Carlo Alberto Mantica ◽  
Luca Guido Molinari
Keyword(s):  
Simple Structure ◽  
Conformal Killing ◽  
Killing Vectors ◽  
Conformal Killing Vectors ◽  
Kundt Spacetimes

AbstractThe simple structure of doubly torqued vectors allows for a natural characterization of doubly twisted down to warped spacetimes, as well as Kundt spacetimes down to PP waves. For the first ones the vectors are timelike, for the others they are null. We also discuss some properties, and their connection to hypersurface orthogonal conformal Killing vectors, and null Killing vectors.

ON A PERFECT FLUID K¨ AHLER SPACETIME

2016 ◽  
Vol 12 (3) ◽  
pp. 4350-4355
Author(s):  
VIBHA SRIVASTAVA ◽  
P. N. PANDEY
Keyword(s):  
Field Equation ◽  
Perfect Fluid ◽  
Sectional Curvature ◽  
Einstein Field Equation ◽  
Cosmological Term ◽  
Conformal Killing ◽  
Killing Vectors ◽  
Projectively Flat ◽  
Conformal Killing Vectors

The object of the present paper is to study a perfect fluid K¨ahlerspacetime. A perfect fluid K¨ahler spacetime satisfying the Einstein field equation with a cosmological term has been studied and the existence of killingand conformal killing vectors have been discussed. Certain results related to sectional curvature for pseudo projectively flat perfect fluid K¨ahler spacetime have been obtained. Dust model for perfect fluid K¨ahler spacetime has also been studied.

INHERITING SPACELIKE CONFORMAL KILLING VECTORS IN STRING COSMOLOGY

2003 ◽  
Vol 12 (05) ◽  
pp. 885-892 ◽  
Author(s):  
HÜSNÜ BAYSAL
Keyword(s):  
General Relativity ◽  
Cosmic Strings ◽  
String Cosmology ◽  
Conformal Killing ◽  
Killing Vectors ◽  
Conformal Killing Vectors

We study the consequences of the existence of spacelike conformal Killing vectors (SpCKV) parallel to xa for cosmic strings and string fluid in the context of general relativity. The inheritance symmetries of the cosmic strings and string fluid are discussed in the case of SpCKV. Furthermore we examine proper homothetic spacelike Killing vectors for the cosmic strings and string fluid.

Symmetry inheritance of conformal Killing vectors

1991 ◽  
Vol 32 (6) ◽  
pp. 1541-1551 ◽  
Author(s):  
E. Saridakis ◽  
M. Tsamparlis
Keyword(s):  
Conformal Killing ◽  
Killing Vectors ◽  
Conformal Killing Vectors

scholarly journals Exact solutions of Bianchi I spacetimes which admit Conformal Killing Vectors

2015 ◽  
Vol 47 (2) ◽  
Author(s):  
Michael Tsamparlis ◽  
Andronikos Paliathanasis ◽  
Leonidas Karpathopoulos
Keyword(s):  
Exact Solutions ◽  
Conformal Killing ◽  
Killing Vectors ◽  
Bianchi I ◽  
Conformal Killing Vectors
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