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Title: The Weyl tensor correlator in cosmological spacetimes

Abstract

We give a general expression for the Weyl tensor two-point function in a general Friedmann-Lemaître-Robertson-Walker spacetime. We work in reduced phase space for the perturbations, i.e., quantize only the dynamical degrees of freedom without adding any gauge-fixing term. The general formula is illustrated by a calculation in slow-roll single-field inflation to first order in the slow-roll parameters ε and δ, and the result is shown to have the correct de Sitter limit as ε, δ → 0. Furthermore, it is seen that the Weyl tensor correlation function in slow-roll does not suffer from infrared divergences, unlike the two-point functions of the metric and scalar field perturbations. Lastly, we show how to recover the usual tensor power spectrum from the Weyl tensor correlation function.

Authors:
 [1]
  1. Departament de Física Fonamental, Institut de Ciències del Cosmos (ICC), Universitat de Barcelona (UB), C/ Martí i Franquès 1, 08028 Barcelona (Spain)
Publication Date:
OSTI Identifier:
22382092
Resource Type:
Journal Article
Journal Name:
Journal of Cosmology and Astroparticle Physics
Additional Journal Information:
Journal Volume: 2014; Journal Issue: 12; Other Information: Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1475-7516
Country of Publication:
United States
Language:
English
Subject:
79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; CORRELATION FUNCTIONS; COSMOLOGICAL INFLATION; DE SITTER GROUP; DE SITTER SPACE; DEGREES OF FREEDOM; INFRARED DIVERGENCES; METRICS; PERTURBATION THEORY; PHASE SPACE; SCALAR FIELDS; SPACE-TIME; SPECTRA; TENSORS

Citation Formats

Fröb, Markus B., E-mail: mfroeb@itp.uni-leipzig.de. The Weyl tensor correlator in cosmological spacetimes. United States: N. p., 2014. Web. doi:10.1088/1475-7516/2014/12/010.
Fröb, Markus B., E-mail: mfroeb@itp.uni-leipzig.de. The Weyl tensor correlator in cosmological spacetimes. United States. doi:10.1088/1475-7516/2014/12/010.
Fröb, Markus B., E-mail: mfroeb@itp.uni-leipzig.de. Mon . "The Weyl tensor correlator in cosmological spacetimes". United States. doi:10.1088/1475-7516/2014/12/010.
@article{osti_22382092,
title = {The Weyl tensor correlator in cosmological spacetimes},
author = {Fröb, Markus B., E-mail: mfroeb@itp.uni-leipzig.de},
abstractNote = {We give a general expression for the Weyl tensor two-point function in a general Friedmann-Lemaître-Robertson-Walker spacetime. We work in reduced phase space for the perturbations, i.e., quantize only the dynamical degrees of freedom without adding any gauge-fixing term. The general formula is illustrated by a calculation in slow-roll single-field inflation to first order in the slow-roll parameters ε and δ, and the result is shown to have the correct de Sitter limit as ε, δ → 0. Furthermore, it is seen that the Weyl tensor correlation function in slow-roll does not suffer from infrared divergences, unlike the two-point functions of the metric and scalar field perturbations. Lastly, we show how to recover the usual tensor power spectrum from the Weyl tensor correlation function.},
doi = {10.1088/1475-7516/2014/12/010},
journal = {Journal of Cosmology and Astroparticle Physics},
issn = {1475-7516},
number = 12,
volume = 2014,
place = {United States},
year = {2014},
month = {12}
}