Asymptotic cosmological solutions - Orthogonal Bianchi type-II models

Details Asymptotic cosmological solutions - Orthogonal Bianchi type-II models Asymptotic cosmological solutions - Orthogonal Bianchi type-II models

Mar 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989cqgra...6..383u&link_type=abstract

Classical and Quantum Gravity (ISSN 0264-9381), vol. 6, March 1, 1989, p. 383-396.

Statistics

Computation

9

Asymptotic Methods, Computational Astrophysics, Cosmology, Differential Equations, Ideal Fluids, Matter (Physics), Tensors, Vacuum Effects

Scientific paper

The time evolution of the orthogonal spatially homogeneous Bianchi type-II models is analyzed by applying qualitative techniques to the reduced and regularized differential system of Rosquist and Jantzen (1985). This enables the asymptotic behavior of solutions near the initial singularity and in the distant future to be obtained. A global picture emerges in which the general orthogonal type-II solution is shown to be spiraling about the non-LRS solution found by Collins (1971). An example of how one can obtain exact solutions with help of the series method developed by Picard (1928) is given.

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