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Title: Inflation in a renormalizable cosmological model and the cosmic no-hair conjecture

Abstract

The possibility of having inflation in a renormalizable cosmological model is investigated. The cosmic no-hair conjecture is proved to hold for all Bianchi types except Bianchi type IX. By the use of a conformal transformation on the metric we show that these models are equivalent to the ones described by the Einstein-Hilbert action for gravity minimally coupled to a set of scalar fields with inflationary potentials. Henceforth, we prove that inflationary solutions behave as attractors in solution space, making it a natural event in the evolution of such models.

Authors:
; ;
Publication Date:
Research Org.:
Department of Physics, University of Tokyo, Bunkyo-ku, Tokyo 113, Japan(JP); NASA/Fermilab Astrophysics Center, MS 209 Fermi National Accelerator Laboratory, P.O. Box 500, Batavia, Illinois 60510; Department of Physics, Hirosaki University, Hirosaki, Japan
OSTI Identifier:
6141810
Resource Type:
Journal Article
Journal Name:
Phys. Rev. D; (United States)
Additional Journal Information:
Journal Volume: 39:10
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; COSMOLOGICAL MODELS; RENORMALIZATION; COUPLING CONSTANTS; EQUATIONS OF MOTION; GRAVITATIONAL FIELDS; METRICS; SCALAR FIELDS; SPACE-TIME; SYMMETRY BREAKING; UNIVERSE; VACUUM STATES; DIFFERENTIAL EQUATIONS; EQUATIONS; MATHEMATICAL MODELS; PARTIAL DIFFERENTIAL EQUATIONS; 640106* - Astrophysics & Cosmology- Cosmology

Citation Formats

Maeda, K, Stein-Schabes, J A, and Futamase, T. Inflation in a renormalizable cosmological model and the cosmic no-hair conjecture. United States: N. p., 1989. Web. doi:10.1103/PhysRevD.39.2848.
Maeda, K, Stein-Schabes, J A, & Futamase, T. Inflation in a renormalizable cosmological model and the cosmic no-hair conjecture. United States. https://doi.org/10.1103/PhysRevD.39.2848
Maeda, K, Stein-Schabes, J A, and Futamase, T. Mon . "Inflation in a renormalizable cosmological model and the cosmic no-hair conjecture". United States. https://doi.org/10.1103/PhysRevD.39.2848.
@article{osti_6141810,
title = {Inflation in a renormalizable cosmological model and the cosmic no-hair conjecture},
author = {Maeda, K and Stein-Schabes, J A and Futamase, T},
abstractNote = {The possibility of having inflation in a renormalizable cosmological model is investigated. The cosmic no-hair conjecture is proved to hold for all Bianchi types except Bianchi type IX. By the use of a conformal transformation on the metric we show that these models are equivalent to the ones described by the Einstein-Hilbert action for gravity minimally coupled to a set of scalar fields with inflationary potentials. Henceforth, we prove that inflationary solutions behave as attractors in solution space, making it a natural event in the evolution of such models.},
doi = {10.1103/PhysRevD.39.2848},
url = {https://www.osti.gov/biblio/6141810}, journal = {Phys. Rev. D; (United States)},
number = ,
volume = 39:10,
place = {United States},
year = {1989},
month = {5}
}