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arXiv 1707.06459gr-qc
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Horava-Lifshitz引力中的极小超对称扩张暴胀场

Minimal-supersymmetric extended inflation field in Horava-Lifshitz gravity

A. Tawfik, A. Diab, E. Abou El Dahab

摘要:

本文研究了在无可投射性条件和有详细平衡条件和无细致平衡条件的一般协变Horava-Lifshitz(HL)引力中的Friedmann暴胀.相应地,我们推导出由于描述最小超对称扩展暴胀的单标量场势而引起的弗里德曼方程的修正。通过实现两个描述充满暗能量的宇宙背景几何的与时间无关的状态方程(EoS),确定了张量和标量密度涨落及其比值对暴胀场的依赖关系.后者指的是暴胀场相对于哈勃参数的时间演化。此外,张量谱密度波动的比率计算依赖于光谱指数。对于冷暗能量EoS $ω=-1/3$,我们发现张量-谱密度涨落不依赖于不同的引力理论,并且相对于最近的BICEP 2/Keck Array-Planck观测,$10^{-9} \lessapprox r \lessapprox 10^{-3}$,结果非常小。我们还计算了原始谱的张量和标量扰动。

英文摘要:

We study the Friedmann inflation in general covariant Horava-Lifshitz (HL) gravity without the projectability conditions and with detailed and non-detailed balance conditions. Accordingly, we derive modifications in the Friedmann equations due to a single-scalar field potential describing minimal-supersymmetrically extended inflation. By implementing two time-independent equations of state (EoS) characterizing the cosmic background geometry filled up with dark energy, the dependence of the tensorial and scalar density fluctuations and their ratios on the inflation field are determined. The latter refer to the time evolution of the inflationary field relative to the Hubble parameter. Furthermore, the ratios of tensorial-to-spectral density fluctuations are calculated in dependence on the spectral index. For cold dark energy EoS $ω=-1/3$, we find that the tensorial-to-spectral density fluctuations are not depending on the different theories of gravity and the results are very small relative to the recent BICEP2/Keck Array-Planck observations, $10^{-9} \lessapprox r \lessapprox 10^{-3}$. We have also calculated the tensorial and scalar perturbations of the primordial spectra.

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