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Singularities and isotropy in a Brans-Dicke Bianchi-type VII universe

1998/10/02 by H. N. Núñez‐Yépez, H. N. Núñez-Yépez, Núñez-Yépez, H. N.
Earth and Planetary Sciences · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geophysics and Gravity Measurements #gr-qc

paper · pdf · doi:10.48550/arxiv.gr-qc/9810008

12 pages, 3 figures submitted to Gen. Rel. Grav

arxiv created 1998/10/02 · openalex publication_date 1998/10/02 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the dynamical effects in the scale factors due to the scalar ϕ-field at the early stages of a supposedly anisotropic Universe expansion in connection with the problem of the initial singularity in the scalar-tensor cosmology of Jordan-Brans-Dicke. This is done by considering the behaviour of the general analytical solutions for the homogeneous model of Bianchi type VII in the vacuum case. We conclude that the Bianchi-VII0 model shows an isotropic expansion and that its only physical solution is equivalent to a Friedman-Robertson-Walker spacetime whose evolution begins in a singularity and ends in another; moreover, we obtain that the general Bianchi-VIIh (with h≠ 0) models show strong curvature singularities that produces a complete collapse of the homogeinity surfaces to a 2-plane, to a string-like one-dimensional manifold, or to a single point.

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