Inflation in $R + R^2$ Gravity with Torsion

dc.creatorWang, Chih-Hung
dc.creatorWu, Yu-Huei
dc.date2008-07-01
dc.date2009-02-06
dc.date.accessioned2026-07-07T12:40:13Z
dc.date.available2026-07-07T12:40:13Z
dc.descriptionWe examine an inflationary model in $R + R^2$ gravity with torsion, where $R^2$ denotes five independent quadratic curvature invariants; it turns out that only two free parameters remain in this model. We show that the behavior of the scale factor $a(t)$ is determined by two scalar fields, axial torsion $χ(t)$ and the totally anti-symmetric curvature $E(t)$, which satisfy two first-order differential equations. Considering $\dotχ\approx 0$ during inflation leads to a power-law inflation: $a \sim (t+ A)^p$ where $1< p \leq 2 $, and the constant $A$ is determined by the initial values of $E$, $χ$ and the two parameters. After the end of inflation, $χ$ and $E$ will enter into an oscillatory phase.
dc.description9 pages, LaTex; v2: separated into five sections, added more content in Introduction and Conclusion, abstract and section 2 improved; v3: three typos are corrected
dc.identifierhttps://arxiv.org/abs/0807.0069
dc.identifierhttp://arxiv.org/abs/0807.0069
dc.identifierClass.Quant.Grav.26:045016,2009
dc.identifierdoi:10.1088/0264-9381/26/4/045016
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/219375
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleInflation in $R + R^2$ Gravity with Torsion
dc.typetext

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