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Extending Bianchi Type-I and Type-II Homogeneous Three Manifolds to Four Dimensions

Aslam Abdullah, and Hishamuddin Zainuddin, and Zainul Abidin Hassan, (2007) Extending Bianchi Type-I and Type-II Homogeneous Three Manifolds to Four Dimensions. Jurnal Fizik Malaysia, 28 (1 & 2). pp. 13-15. ISSN 0128-0333

Full text not available from this repository.

Affiliations

Universiti Putra Malaysia, Institute for Mathematical Research
Universiti Putra Malaysia, Faculty of Science
Universiti Tun Hussein Onn Malaysia, Fakulti Kejuruteraan Mekanikal dan Pembuatan. Jabatan Kejuruteraan Loji dan Automotif

Abstract

Type-I and Type-II homogeneous cosmologies described by three-parameter isometry groups $G_3$ with transitive actions on three-manifolds were extended to those involving transitive groups of isometries $G_4$ with an additional dimension off our-manifolds. In order to extend a three-manifold metric which admits the Bianchi type-N (N = I, II) to that of four-manifold, the group $G_4$ was specified via a translational symmetry over the extra dimension. The extended metric of types I & II are solved explicitly.

Item Type:Journal
Keywords:Type-I and Type-II homogeneous cosmologies
Subjects:Q Science, Computer Science
ID Code:3329

[1] C. M. Chen. P. M. Ho, I. P. Neupane, N. Ohta, and J. E. Wang, "Hyperbolic Space Cosmologies", JHEP, 0310, 058 (2003).

[2] P., Brax, and C.v.d. Bruck, "Cosmology and Brane Worlds: A review": Class. Quant. Grav., 20, R201-R232 (2003).

[3] L. Bianchi, "On the Three-Dimensional Manifolds which Admit a Continuous Group of Motions" (Eng. Trans.), Memorie di Matematica e di Fisica della Sicieta Italiana delle Scienze Serie Terza, Torno, XI, 267-352 (1898).

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