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Exact solutions of the hyperextended scalar-tensor theory with potential in the Bianchi type I model

Stéphane Fay

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The hyperextended scalar-tensor theory with a potential is defined by three free functions: the gravitational function, the Brans-Dicke coupling function and the potential. Starting from the expression of the 3-volume and the potential as a function of the proper time, we determine the exact solutions of this theory. We study two important cases corresponding to power and exponential laws for the 3-volume and the potential.


PACS

04.20.Jb Exact solutions

04.50.-h Higher-dimensional gravity and other theories of gravity

98.80.-k Cosmology

MSC

85A40 Cosmology (For relativistic cosmology, see 83F05)

83C15 Exact solutions

83F05 Cosmology

Subjects

Gravitation and cosmology

Astrophysics and astroparticles

Dates

Issue 1 (7 January 2001)

Received 19 June 2000, in final form 6 November 2000



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