Eur. Phys. J. C (2013) 73: 2598
https://doi.org/10.1140/epjc/s10052-013-2598-0

Regular Article - Theoretical Physics

Scalar fluctuations of the scalar metric during inflation from a non-perturbative 5D large-scale repulsive gravity model

¹ Departamento de Matemáticas, Centro Universitario de Ciencias Exactas e ingenierías (CUCEI), Universidad de Guadalajara (UdG), Av. Revolución 1500, S.R., 44430, Guadalajara, Jalisco, Mexico
² Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad Nacional de Mar del Plata (UNMdP), Funes 3350, C.P. 7600, Mar del Plata, Argentina
³ Instituto de Investigaciones Físicas de Mar del Plata (IFIMAR), Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET), Mar del Plata, Argentina

^* e-mail: mbellini@mdp.edu.ar

Received: 4 June 2013
Revised: 14 August 2013
Published online: 16 October 2013

Abstract

We develop a non-perturbative formalism for scalar metric fluctuations from a 5D extended version of general relativity in vacuum. In this work we concentrate our efforts on calculations valid on large cosmological scales, which are dominant during the inflationary phase of the universe. The resulting metric in this limit is obtained after implementing a planar coordinate transformation on a 5D Ricci-flat metric solution. We calculate the spectrum of these fluctuations with an effective 4D Schwarzschild–de Sitter spacetime on cosmological scales, which is obtained after we make a static foliation on the non-compact extra coordinate. Our results show how the squared metric fluctuations of the primordial universe become scale invariant with the inflationary expansion.