Exact solutions for inhomogeneous generalisations of some vacuum Bianchi models

Details Exact solutions for inhomogeneous generalisations of some vacuum Bianchi models Exact solutions for inhomogeneous generalisations of some vacuum Bianchi models

May 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984cqgra...1..291h&link_type=abstract

Classical and Quantum Gravity (ISSN 0264-9381), vol. 1, May 11, 1984, p. 291-300.

Mathematics

12

Cosmology, Relativity, Space-Time Functions, Einstein Equations, Inhomogeneity, Singularity (Mathematics), Vacuum

Scientific paper

Vacuum solutions for inhomogeneous generalizations of Bianchi models III, V, and VI(h) are derived. These solutions generalize particular exact solutions previously obtained by Carmeli and Charach. As particular cases, general vacuum solutions for homothetic models of types fIII, fV, and fVI(h) are derived. Some properties of these solutions are discussed, especially their singular or regular nature at the boundaries of the intervals of definition of the space-like and time-like variables. In particular, doubts are cast on the interpretation of vacuum homothetic solutions as cosmological models.

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