Power spectrum for perturbations in an inflationary model for a closed universe

Abstract

Abstract We derive the power spectrum of primordial quantum fluctuations in an inflationary universe for curvature parameter $${\mathcal {K}}=1$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>K</mml:mi> <mml:mo>=</mml:mo> <mml:mn>1</mml:mn> </mml:mrow> </mml:math> . This is achieved through a Born–Oppenheimer type of approximation scheme from the Wheeler–DeWitt equation of canonical quantum gravity using gauge-invariant variables. Compared to the flat model, the closed model exhibits a deficit of power at large scales.

Topics & Concepts