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Cosmological models in certain scalar-tensor theories. (English) Zbl 0870.53066

Summary: Exact solutions of the Einstein field equations are obtained in the scalar-tensor theories developed by Saez and Ballester (1985) and Lau and Prokhovnik (1986) when the line-element has the form \[ ds^2= \exp (2h) dt^2- \exp (2A) (dx^2+ dy^2)- \exp (2B)dz^2 \] where \(h\), \(A\), and \(B\) are functions of \(t\) only. The solutions are spatially homogeneous, locally rotationally symmetric, and admit a Bianchi I group of motions on hypersurfaces \(t=\) constant. The dynamical behaviour of these models is also discussed.

MSC:

53Z05 Applications of differential geometry to physics
83F05 Relativistic cosmology
83D05 Relativistic gravitational theories other than Einstein’s, including asymmetric field theories
Full Text: DOI

References:

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