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

JOSÉ EDGAR MADRIZ AGUILAR; MAURICIO BELLINI

JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS

IOP PUBLISHING LTD

Año: 2010 p. 1 - 17

1475-7516

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 massdependence. 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.