General vacuum-Universe solutions in Brans-Dicke cosmology

Details General vacuum-Universe solutions in Brans-Dicke cosmology General vacuum-Universe solutions in Brans-Dicke cosmology

Feb 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983ap%26ss..90...51c&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 90, no. 1, Feb. 1983, p. 51-58.

Physics

17

Big Bang Cosmology, Field Theory (Physics), Space-Time Functions, Tensor Analysis, Cosmic Dust, Dirac Equation, Mach Inertia Principle, Relativity, Scalars, Vacuum

Scientific paper

The scalar field of the Jordan-Brans and Dicke cosmological theory is rescaled in order to integrate its equations and obtain general solutions for the homogeneous and isotropic, flat, open or closed space 'vacuum' Universe. Each solution is characterized by the sign of the second time derivative of the rescaled fields, so that the solutions are mutually exclusive. Of these solutions, the open space one is damped-oscillatory; the scale factor of the Robertson-Walker line element attains its absolute minimum, equal to zero, in only one of the two 'extreme' cycles. Otherwise, the minimum remains positive. If the scalar field is dominant near the singularity, these solutions may have physical significance. The equations can also be integrated for the case of a flat 'dust' Universe to get a general solution which is also a solution for the closed and open space.

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