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Homogeneous space-times with seven isometries (1992)

Rebouças, M. J. ; Teixeira, A. F. F.

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 33 (1992), S. 2855-2862

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ISSN: 1089-7658

Source: AIP Digital Archive

Topics: Mathematics , Physics

Notes: A new homogeneous space-time with seven isometries is derived by means of a complex transformation. It is shown that it is conformally flat and its Weyl-flat form is exhibited. Its Killing vector fields and the corresponding Lie algebra are also presented. An integral representation of these vector fields is found. Sources for the new space-time geometry are obtained by combining Synge's approach to Einstein's equations with energy conditions and Segrè classification of the energy-momentum tensors. A comparison with other rare space-times possessing a G7 of motions is made by using a suite of computer algebra programs.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1063/1.529554

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