Scale-invariant curvature fluctuations from an extended semiclassical gravity

Journal Article · Sun Feb 15 00:00:00 EST 2015 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.4908127· OSTI ID:22403107

Pinamonti, Nicola ^[1]; Siemssen, Daniel ^[1]

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1. Dipartimento di Matematica, Università di Genova, Via Dodecaneso 35, 16146 Genova (Italy)

We present an extension of the semiclassical Einstein equations which couple n-point correlation functions of a stochastic Einstein tensor to the n-point functions of the quantum stress-energy tensor. We apply this extension to calculate the quantum fluctuations during an inflationary period, where we take as a model a massive conformally coupled scalar field on a perturbed de Sitter space and describe how a renormalization independent, almost-scale-invariant power spectrum of the scalar metric perturbation is produced. Furthermore, we discuss how this model yields a natural basis for the calculation of non-Gaussianities of the considered metric fluctuations.

• OSTI ID: 22403107
• Journal Information: Journal of Mathematical Physics, Vol. 56, Issue 2; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CORRELATION FUNCTIONS
DE SITTER SPACE
EINSTEIN FIELD EQUATIONS
FLUCTUATIONS
GRAVITATION
METRICS
PERTURBATION THEORY
RENORMALIZATION
SCALAR FIELDS
SCALARS
SEMICLASSICAL APPROXIMATION
STOCHASTIC PROCESSES
TENSORS