On Bianchi type-I vacuum solutions in R+R2 theories of gravitation. II. The axially symmetric anisotropic case.

Details On Bianchi type-I vacuum solutions in R+R2 theories of gravitation. II. The axially symmetric anisotropic case. On Bianchi type-I vacuum solutions in R+R2 theories of gravitation. II. The axially symmetric anisotropic case.

Oct 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985gregr..17..971s&link_type=abstract

General Relativity and Gravitation, Volume 17, Issue 10, pp.971-980

Mathematics

Logic

5

Gravitation Theory:Bianchi Models

Scientific paper

The field equations following from a LagrangianL(1/L)(-g)1/2[(1/2)R+l 2(αR lk R lk +βR 2)] will be considered for Bianchi type-I homogeneous models. Thereby the special case,α+3β=0, is considered qualitatively for axially symmetric anisotropic metrics. Generically, the solutions have both past and future singularities, but it will be proven by topological arguments that the two-dimensional space of solutions possesses a one-parameter subspace of solutions with a behavior similar to the Kasner solution.

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