Primordial SdS universe from a 5D vacuum: scalar field fluctuations on Schwarzschild and Hubble horizons

Abstract

We study scalar field fluctuations of the inflaton field in an early inflationary universe on an effective 4D Schwarzschild-de Sitter (SdS) metric, which is obtained after make a planar coordinate transformation on a 5D Ricci-flat Schwarzschild-de Sitter (SdS) static metric. We obtain the important result that the spectrum of fluctuations at zeroth order is independent of the scalar field mass $M$ on Schwarzschild scales, while on cosmological scales it exhibits a mass dependence. However, in the first-order expansion, the spectrum depends of the inflaton mass and the amplitude is linear with the Black-Hole (BH) mass $m$.

arXiv commentFinal version to be published in JCAP

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Cited by in corpus (6)

• Scalar cosmological perturbations from inflationary black holes
• Inflaton fluctuations in the presence of cosmological defects
• Stochastic emergence of inflaton fluctuations in a SdS primordial universe with large-scale repulsive gravity from a 5D vacuum
• The primordial explosion of a false white hole from a 5D vacuum
• Gravitational waves during inflation from a 5D large-scale repulsive gravity model
• Inflation as a White Hole explosion from a 5D vacuum