The General Solution of Bianchi Type III Vacuum Cosmology
نویسندگان
چکیده
منابع مشابه
The General Solution of Bianchi Type III Vacuum Cosmology
The second order Ordinary Differential Equation which describes the unknown part of the solution space of some vacuum Bianchi Cosmologies is completely integrated for Type III, thus obtaining the general solution to Einstein’s Field Equations for this case, with the aid of the sixth Painlevé transcendent PV I . For particular representations of PV I we obtain the known Kinnersley two-parameter ...
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A general method for solving the Cosmological Einstein’s Field Equations (EFE) in vacuum is presented, and is applied to the Bianchi Type III vacuum cosmology. As a result, the entire space of solutions for this model is found. This space is composed of two distinct, disconnected ,three-parameter families. Both of them admit four Killing vector Fields and no homothetic vector. One family repres...
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متن کامل60 70 63 v 1 1 7 Ju l 2 00 6 The General Solution of Bianchi Type III Vacuum Cosmology
The second order Ordinary Differential Equation which describes the unknown part of the solution space of some vacuum Bianchi Cosmologies is completely integrated for Type III, thus obtaining the general solution to Einstein’s Field Equations for this case. Imposing the space-time generalization of a ”hidden” symmetry of the generic Type III spatial slice, enables us to retrieve a two-parameter...
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ژورنال
عنوان ژورنال: Journal of Physics: Conference Series
سال: 2007
ISSN: 1742-6588,1742-6596
DOI: 10.1088/1742-6596/68/1/012039