Non-critical anisotropic Bianchi type $I$ string cosmology with ${\alpha }^{\prime }$-corrections

Abstract

We present non-critical Bianchi type $I$ string cosmology solutions in the presence of central charge deficit term $\Lambda$. The leading order string frame curvature appears to be in the high curvature limit $R{\alpha }^{\prime }\gtrsim 1$, which underlines the necessity of including higher order ${\alpha }^{\prime }$-corrections. We give new solutions of two-loop (order ${\alpha }^{\prime }$) $\beta$-function equations of $\sigma$-model with non-zero $\Lambda$ and dilaton field in both cases of absence and presence of spatially homogeneous $H$-field ($H=dB$). Also, the evolution of solutions is studied in the Einstein frame, where the string effective action can transform to Gauss-Bonnet gravity model coupled to the dilaton field with potential. We study explicit examples in order ${\alpha }^{\prime }$ with chosen values of appeared constants in the solutions and discuss the cosmological implications.

References in corpus (9)

• Generic instabilities of non-singular cosmologies in Horndeski theory: a no-go theorem
• Gauss-Bonnet cosmologies: crossing the phantom divide and the transition from matter dominance to dark energy
• Accelerating Cosmologies in the Einstein-Gauss-Bonnet Theory with Dilaton
• Inflation from Superstring/M-Theory Compactification with Higher Order Corrections II -- Case of Quartic Weyl Terms --
• Stringy corrections to a time-dependent background solution of string and M-Theory
• On Bouncing and Nonsingular Solutions in Einstein-scalar-Gauss-Bonnet Cosmology
• Chaotic dynamics of the Bianchi IX universe in Gauss-Bonnet gravity
• Cosmologies from higher-order string corrections
• Anisotropic homogeneous string cosmology with two-loop corrections

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• Classical and quantum (2+1)-dimensional spatially homogeneous string cosmology
• Regular $(2+1)$-dimensional spatially homogeneous ${\alpha }^{\prime }$-corrected BTZ-like black hole in string theory