A note on teleparallel Killing vector fields in Bianchi type VIII and IX space–times in teleparallel theory of gravitation

doi:10.1088/1674-1056/20/7/070401

Abstract In this paper we classify Bianchi type VIII and IX space—times according to their teleparallel Killing vector fields in the teleparallel theory of gravitation by using a direct integration technique. It turns out that the dimensions of the teleparallel Killing vector fields are either 4 or 5. From the above study we have shown that the Killing vector fields for Bianchi type VIII and IX space—times in the context of teleparallel theory are different from that in general relativity.

Keywords: Weitzenb?ck geometry teleparallel theory of gravitation conservation laws

Received: 10 December 2010
Revised: 26 January 2011
Accepted manuscript online:

PACS:	04.20.-q	(Classical general relativity)
	04.20.Jb	(Exact solutions)
	11.30.-j	(Symmetry and conservation laws)

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Ghulam Shabbir, Amjad Ali, and Suhail Khan A note on teleparallel Killing vector fields in Bianchi type VIII and IX space–times in teleparallel theory of gravitation 2011 Chin. Phys. B 20 070401

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A note on teleparallel Killing vector fields in Bianchi type VIII and IX space–times in teleparallel theory of gravitation

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