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Dynamical study of the hyperextended scalar-tensor theory in the empty Bianchi type I model

Stéphane Fay

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The dynamics of the hyperextended scalar-tensor theory in the empty Bianchi type I model is investigated. We describe a method giving the sign of the first and second derivatives of the metric functions whatever the coupling function. Hence, we can predict whether a theory gives birth to an expanding, contracting, bouncing or inflationary cosmology. The dynamics of a string-inspired theory without an antisymmetric field strength is analysed. Some exact solutions are found.


PACS

98.80.Cq Particle-theory and field-theory models of the early Universe (including cosmic pancakes, cosmic strings, chaotic phenomena, inflationary universe, etc.)

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

98.80.Bp Origin and formation of the Universe

MSC

83F05 Cosmology

83E15 Kaluza-Klein and other higher-dimensional theories

Subjects

Gravitation and cosmology

Astrophysics and astroparticles

Dates

Issue 7 (7 April 2000)

Received 13 July 1999, in final form 4 January 2000



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