Asymptotes of solutions of a perfect fluid coupled with a cosmological constant in four-dimensional spacetime with toroidal symmetry |
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Authors: | Gregory A. Benesh Anzhong Wang |
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Affiliation: | (1) Department of Physics, Baylor University, 101 Bagby Avenue, Waco, Texas 76706, USA |
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Abstract: | Asymptotes of solutions of a perfect fluid when coupled with a cosmological constant in four-dimensional spacetime with toroidal symmetry are studied. In particular, it is found that the problem of self-similar solutions of the first kind for a fluid with the equation of state, p = kρ, can be reduced to solving a master equation of the form, For k = 0 and k = −1/3 the general solutions are obtained and their main local and global properties are studied in detail. |
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Keywords: | Self-similar solution Global solution |
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