Killing tensors from conformal Killing vectors

We investigate the form of Killing tensors, constructed from conformal Killing vectors of a given spacetime (M, g), by utilizing the Koutras algorithm. As an example we find irreducible Killing tensors in Robertson–Walker spacetimes. A number of theorems are given for the existence of Killing tensors in the conformally related spacetime [Formula: see text]. The form of the conformally related Killing tensors are explicitly determined. The conditions on the conformal factor Ω relating the two spacetimes (M, g) and [Formula: see text] are determined for the existence of the tensors. Also we briefly consider the role of recurrent vectors, inheriting conformal vectors and gradient conformal vectors in building Killing tensors.

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Killing tensors and conformal Killing tensors from conformal Killing vectors

Classical and Quantum Gravity ◽

10.1088/0264-9381/20/11/301 ◽

2003 ◽

Vol 20 (11) ◽

pp. 1929-1942 ◽

Cited By ~ 22

Author(s):

Raffaele Rani ◽

S Brian Edgar ◽

Alan Barnes

Keyword(s):

Conformal Killing ◽

Killing Vectors ◽

Killing Tensors ◽

Conformal Killing Vectors

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ON A PERFECT FLUID KÂ¨ AHLER SPACETIME

JOURNAL OF ADVANCES IN PHYSICS ◽

10.24297/jap.v12i3.44 ◽

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 KÂ¨ahlerspacetime. A perfect fluid KÂ¨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 KÂ¨ahler spacetime have been obtained. Dust model for perfect fluid KÂ¨ahler spacetime has also been studied.

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ON GENERALIZATIONS OF PRODUCT-CONFORMAL KILLING VECTORS

Demonstratio Mathematica ◽

10.1515/dema-1974-0311 ◽

1974 ◽

Vol 7 (3) ◽

Author(s):

Κ. D. Singh ◽

A. Nigam

Keyword(s):

Conformal Killing ◽

Killing Vectors ◽

Conformal Killing Vectors

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INHERITING SPACELIKE CONFORMAL KILLING VECTORS IN STRING COSMOLOGY

International Journal of Modern Physics D ◽

10.1142/s0218271803003360 ◽

2003 ◽

Vol 12 (05) ◽

pp. 885-892 ◽

Cited By ~ 1

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.

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