Automorphism Inducing Diffeomorphisms and the general solution of Bianchi Type III Vacuum Cosmology
نویسندگان
چکیده
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 represents a pp-wave. [email protected] [email protected] 1
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60 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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