Extension of type-V and type-IX homogeneous cosmologies
Homogeneous cosmologies described by four-parameter transitive groups of isometries G4 with an additional dimension of four-manifolds were obtained by extending Type-V and Type-IX cosmologies which involve isometry groups G3 with transitive actions on three-manifolds. The group G4 was specified via...
| Main Authors: | , |
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| Format: | Conference or Workshop Item |
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Elsevier B.V. (ScienceDirect)
2013
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| Online Access: | http://psasir.upm.edu.my/id/eprint/41358/ |
| Summary: | Homogeneous cosmologies described by four-parameter transitive groups of isometries G4 with an additional dimension of four-manifolds were obtained by extending Type-V and Type-IX cosmologies which involve isometry groups G3 with transitive actions on three-manifolds. The group G4 was specified via a translational symmetry over the extra dimension in order to extend a three-manifold metric which admits Bianchi Type-N (N=V, IX) to that of four-manifold. The extended metric of Types V and IX are solved explicitly. |
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