We study anisotropic solutions for the pure R-2 gravity model with a scalar field in the BianchiI metric. The evolution equations have a singularity at zero value of the Ricci scalar R for anisotropic solutions, whereas these equations are smooth for isotropic solutions. So, there is no anisotropic solution with the Ricci scalar smoothly changing its sign during evolution. We have found anisotropic solutions using the conformal transformation of the metric and the Einstein frame. The general solution in the Einstein frame has been found explicitly. The corresponding solution in the Jordan frame has been constructed in quadratures
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Univ Fed Espirito Santo, Dept Fis, Ave Fernando Ferrari 514, BR-29075910 Vitoria, ES, BrazilUniv Fed Espirito Santo, Dept Fis, Ave Fernando Ferrari 514, BR-29075910 Vitoria, ES, Brazil
Sbisa, Fulvio
Piattella, Oliver F.
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Univ Fed Espirito Santo, Dept Fis, Ave Fernando Ferrari 514, BR-29075910 Vitoria, ES, Brazil
Heidelberg Univ, Inst Theoret Phys, Philosophenweg 16, D-69120 Heidelberg, GermanyUniv Fed Espirito Santo, Dept Fis, Ave Fernando Ferrari 514, BR-29075910 Vitoria, ES, Brazil
Piattella, Oliver F.
Joras, Sergio E.
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Univ Fed Rio de Janeiro, Inst Fis, CP 68528, BR-21941972 Rio De Janeiro, RJ, BrazilUniv Fed Espirito Santo, Dept Fis, Ave Fernando Ferrari 514, BR-29075910 Vitoria, ES, Brazil
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Queen Mary Univ London, Sch Phys & Astron, Mile End Rd, London E1 4NS, EnglandQueen Mary Univ London, Sch Phys & Astron, Mile End Rd, London E1 4NS, England