The Kasner Type Universe in New General Relativity

Details The Kasner Type Universe in New General Relativity The Kasner Type Universe in New General Relativity

Jun 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984pthph..71.1213f&link_type=abstract

Progress of Theoretical Physics, Vol. 71, No. 6, pp. 1213-1220

Physics

4

Scientific paper

In n + 1 dimensional new general relativity including a cosmological constant based on the Weitzenböck spacetime with absolute parallelism, exact solutions of the gravitational field equations in vacuum for diagonal and space-independent parallel vector fields are found. In usual 3 + 1 dimensional spacetime, these solutions reduce, for example, to the de Sitter and the Kasner solutions in the limiting case epsilon -> 0. The parameter epsilon causes a difference to our solutions from those of general relativity. Especially, for the Kasner solution in new general relativity with the condition epsilon < 0, there is a solution which gives a model of the universe expanding in all directions. In general relativity, there is no solution of this type.

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