Anisotropic homogeneous string cosmology with two-loop corrections

Abstract

The two-loop (order ${\alpha }^{\prime }$) $\beta$-function equations, which are equivalent to the equations of motion of ${\alpha }^{\prime }$-corrected string effective action, are considered for anisotropic homogeneous space-times. These equations are solved for all Bianchi-type models in two schemes of effective action, namely $R^2$ and Gauss-Bonnet schemes with zero cosmological constant and then the metric, dilaton and $B$-field are found at ${\alpha }^{\prime }$ perturbative corrections.

33 pages

References in corpus (4)

• Towards a Stringy Resolution of the Cosmological Singularity
• EVH Black Hole Solutions With Higher Derivative Corrections
• Stringy corrections to a time-dependent background solution of string and M-Theory
• Chaotic dynamics of the Bianchi IX universe in Gauss-Bonnet gravity

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• Classical and quantum (2+1)-dimensional spatially homogeneous string cosmology
• Quasinormal modes of three $(2+1)$-dimensional black holes in string theory, conformal gravity, and Hu-Sawicki $F(R)$ theory via the Heun function
• Spatially homogeneous black hole solutions in $z=4$ Hořava-Lifshitz gravity in $(4+1)$ dimensions with Nil geometry and $H^2\times R$ horizons
• Regular $(2+1)$-dimensional spatially homogeneous ${\alpha }^{\prime }$-corrected BTZ-like black hole in string theory