Stochastic emergence of inflaton fluctuations in a SdS primordial universe with large-scale repulsive gravity from a 5D vacuum

L.M. Reyes; J.E. Madriz Aguilar; M. Bellini

doi:10.1140/epjp/i2011-11056-2

EPJ

Stochastic emergence of inflaton fluctuations in a SdS primordial universe with large-scale repulsive gravity from a 5D vacuum

L.M. Reyes¹^*, J.E. Madriz Aguilar¹ and M. Bellini²^,3

¹ Departamento de Física, DCI, Universidad de Guanajuato, Lomas del Bosque 103, Col. Lomas del Campestre, C.P. 37150, León Guanajuato, Mexico
² Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad Nacional de Mar del Plata, 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), Buenos Aires, Argentina

Received: 1 December 2010
Accepted: 29 May 2011
Published online: 13 June 2011

Abstract

We develop a stochastic approach to study scalar-field fluctuations of the inflaton field in an early inflationary universe with a black hole (BH), which is described by an effective 4D Schwarzschild-de Sitter (SdS) metric. This effective 4D metric is the induced metric on a 4D hypersurface, here representing our universe, which is obtained from a 5D Ricci-flat SdS static metric, after implementing a planar coordinate transformation. On this background, we found that at the end of the inflation, the squared fluctuations of the inflaton field are not exactly scale independent and result sensitive to the mass of the BH.