Quadratic effective energy--momentum tensor on uniform-density hypersurfaces during slow-roll inflation
摘要
We investigate the quadratic-order effective energy--momentum tensor (2EMT) of scalar cosmological perturbations on uniform-density hypersurfaces during slow-roll inflation. The 2EMT is constructed from terms quadratic in the linear metric and inflaton perturbations, and is therefore a gauge-fixed effective source rather than a gauge-invariant observable. We impose the complete scalar gauge conditions and , express all perturbations in terms of the Bardeen potential , and evaluate the Fourier-space 2EMT in the long- and short-wavelength domains. We distinguish the ``strict'' infrared and ultraviolet limits from the ``intermediate'' regimes. The uniform-density and comoving results agree in the strict infrared limit. In the intermediate infrared regime, the dominant leading order remains the same, while explicit finite-gradient corrections distinguish the two gauges. In the ultraviolet, the 2EMT is enhanced by due to the slowly varying matter clock, , and the leading uniform-density 2EMT terms exhibit an additional enhancement by from the Laplacian term. The intermediate ultraviolet expansion makes the subleading gradient hierarchy explicit without changing the leading terms. We compare these results with newly recalculated longitudinal, spatially-flat, and comoving expressions, displayed in a more explicit form than in the earlier analysis. The comparison shows that the gauge dependence is structured: uniform-density and comoving slicings coincide for adiabatic super-Hubble modes, whereas the longitudinal and spatially-flat gauges are {\it slow-roll} suppressed in the strict infrared and become {\it gradient} dominated in the intermediate infrared.
引用
@article{arxiv.2608.13498,
title = {Quadratic effective energy--momentum tensor on uniform-density hypersurfaces during slow-roll inflation},
author = {Inyong Cho},
journal= {arXiv preprint arXiv:2608.13498},
year = {2026}
}
备注
18 pages