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Abstract

Infrared divergence of pure Einstein gravity contributions to cosmological density power spectrum

We probe the pure Einstein's gravity contributions to the second-order density power spectrum and present two new results. In the small-scale, we discover that the Einstein's gravity contribution is quite small. Thus, our result guarantees that one could safely rely on Newton's gravity in handling the baryon acoustic oscillation scale. In the large scale, however, we discover a surprising result that the Einstein's gravity contribution to the second-order power spectrum dominates the relativistic/Newtonian linear-order power spectrum. Thus, we encounter an infrared divergence in the next-to-leading-order power spectrum due to pure Einstein gravity contribution appearing in the third-order perturbation.

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