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Title: Cosmic no-hair theorem in power-law inflation

Abstract

We prove a cosmic no-hair theorem for Bianchi models in power-law inflation. Provided that the potential of an inflaton {phi} is exp({minus}{lambda}{kappa}{phi}) with 0{le}{lambda}{lt} {radical}2/3 , we find that the isotropic power-law solution is the unique attractor for any initially expanding Bianchi-type models except type IX. For Bianchi type IX, this conclusion is also true if the initial ratio of the vacuum energy to the maximum three-curvature is larger than one half.

Authors:
 [1];  [2]
  1. Department of Physics, Faculty of Science, University of Tokyo, Bunkyo-ku, Tokyo 113 (Japan)
  2. Department of Physics, Waseda University, Shinjuku-ku, Tokyo 169 (Japan)
Publication Date:
OSTI Identifier:
7278138
Resource Type:
Journal Article
Journal Name:
Physical Review, D (Particles Fields); (United States)
Additional Journal Information:
Journal Volume: 45:4; Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; COSMOLOGY; INFLATIONARY UNIVERSE; GRAVITATIONAL FIELDS; BACKGROUND RADIATION; GENERAL RELATIVITY THEORY; KALUZA-KLEIN THEORY; LAGRANGIAN FUNCTION; MICROWAVE RADIATION; PHASE TRANSFORMATIONS; SCALAR FIELDS; SPACE-TIME; UNIVERSE; COSMOLOGICAL MODELS; ELECTROMAGNETIC RADIATION; FIELD THEORIES; FUNCTIONS; MATHEMATICAL MODELS; RADIATIONS; UNIFIED-FIELD THEORIES; 661310* - Relativity & Gravitation- (1992-); 662110 - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)

Citation Formats

Kitada, Y, and Maeda, K. Cosmic no-hair theorem in power-law inflation. United States: N. p., 1992. Web. doi:10.1103/PhysRevD.45.1416.
Kitada, Y, & Maeda, K. Cosmic no-hair theorem in power-law inflation. United States. https://doi.org/10.1103/PhysRevD.45.1416
Kitada, Y, and Maeda, K. Sat . "Cosmic no-hair theorem in power-law inflation". United States. https://doi.org/10.1103/PhysRevD.45.1416.
@article{osti_7278138,
title = {Cosmic no-hair theorem in power-law inflation},
author = {Kitada, Y and Maeda, K},
abstractNote = {We prove a cosmic no-hair theorem for Bianchi models in power-law inflation. Provided that the potential of an inflaton {phi} is exp({minus}{lambda}{kappa}{phi}) with 0{le}{lambda}{lt} {radical}2/3 , we find that the isotropic power-law solution is the unique attractor for any initially expanding Bianchi-type models except type IX. For Bianchi type IX, this conclusion is also true if the initial ratio of the vacuum energy to the maximum three-curvature is larger than one half.},
doi = {10.1103/PhysRevD.45.1416},
url = {https://www.osti.gov/biblio/7278138}, journal = {Physical Review, D (Particles Fields); (United States)},
issn = {0556-2821},
number = ,
volume = 45:4,
place = {United States},
year = {1992},
month = {2}
}