Gravitational waves from inflation with antisymmetric tensor field

Abstract

We build upon the past studies of inflation with rank-2 antisymmetric tensor field, including here the tensor perturbations to metric. We perform a comprehensive analysis of the background dynamics of our model in the presence of non-minimal coupling curvature terms $R$ and $R_{\mu \nu }$. We find appropriate conditions on the nonminimal coupling parameters to satisfy the constraint of speed of propagation of gravitational waves. Including the tensor perturbations, the model is found to be free from ghost instabilities with minimal constraints on the parameters. We also study the evolution of gravitational waves, calculate the power spectrum and the tensor spectral index.

arXiv commentA calculational error has been corrected leading to minor changes in results without affecting conclusions; matches published version 21 pages, 3 figures, 1 table

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• Ultraviolet Unitarity Violations in Non-minimally Coupled Scalar-Starobinsky Inflation
• Inflation with antisymmetric tensor field: new candidates
• Inflation using a triplet of Antisymmetric tensor fields
• Scalar and vector modes in inflation with antisymmetric tensor field