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.

中文翻译：

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来自反对称张量场暴胀的引力波

我们建立在过去对 2 阶反对称张量场的膨胀研究的基础上，包括这里的张量扰动到度量。在存在非最小耦合曲率项 $R$ 和 $R_{\mu\nu}$ 的情况下，我们对模型的背景动力学进行了全面分析。我们在非最小耦合参数上找到了合适的条件，以满足引力波传播速度的约束。包括张量扰动，该模型被发现没有鬼不稳定性，对参数的限制最小。我们还研究了引力波的演化，计算了功率谱和张量谱指数。