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

中国物理B ›› 2011, Vol. 20 ›› Issue (7): 70401-070401.doi: 10.1088/1674-1056/20/7/070401

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

Amjad Ali¹, Ghulam Shabbir², Suhail Khan²

(1)Department of Basic Sciences, University of Engineering and Technology, Peshawar, Khyber Pukhtoonkhwa, Pakistan; (2)Faculty of Engineering Sciences, GIK Institute of Engineering Sciences and Technology, Topi, Swabi, Khyber Pukhtoonkhwa, Pakistan

收稿日期:2010-12-10 修回日期:2011-01-26 出版日期:2011-07-15 发布日期:2011-07-15

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

Ghulam Shabbir^a)†, Amjad Ali^b), and Suhail Khan^a)

^a Faculty of Engineering Sciences, GIK Institute of Engineering Sciences and Technology, Topi, Swabi, Khyber Pukhtoonkhwa, Pakistan; ^b Department of Basic Sciences, University of Engineering and Technology, Peshawar, Khyber Pukhtoonkhwa, Pakistan

Received:2010-12-10 Revised:2011-01-26 Online:2011-07-15 Published:2011-07-15

摘要/Abstract

摘要： 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.

关键词: Weitzenbö, ck geometry, teleparallel theory of gravitation, conservation laws

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.

Key words: Weitzenb?ck geometry, teleparallel theory of gravitation, conservation laws

中图分类号: (Classical general relativity)

04.20.-q

04.20.Jb (Exact solutions) 11.30.-j (Symmetry and conservation laws)

Ghulam Shabbir, Amjad Ali, Suhail Khan. A note on teleparallel Killing vector fields in Bianchi type VIII and IX space–times in teleparallel theory of gravitation[J]. 中国物理B, 2011, 20(7): 70401-070401.

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[J]. Chin. Phys. B, 2011, 20(7): 70401-070401.

参考文献 20

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

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

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