On the inflationary solutions in higher-derivative gravity with dilaton field
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1997
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Elsevier Science BV
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Abstract
We discuss the existence of de Sitter inflationary solutions for the string-inspired fourth-derivative gravity theories with dilaton field. We consider a space-time of arbitrary dimension D and an arbitrary parametrization of the target space metric. The specific features of the theory in dimension D = 4 and those of the special ghost-free parametrization of the metric are found. We also consider similar string-inspired theories with torsion and construct an inflationary solution with torsion and dilaton for D = 4. The stability of the inflationary solutions is also investigated.
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© 1997 Elsevier Science B.V. The authors are grateful to the referee for the suggestion to study the stability of the de Sitter solutions, presented in Section 6. A.L.M. thanks Prof. A. Dobado for useful discussions and also acknowledges partial support by the Ministerio de Educación y Ciencia (Spain) (CXCYT AEN96-1634). I.L.Sh. thanks the Departamento de Fisica - ICE, Universidade Federal de Juiz de Fora for warm hospitality. The work of I.L.Sh. has been supported in part by Russian Foundation for Basic Research under the project No.96-02-16017.