Cosmic no-hair theorem in power-law inflation

Details Cosmic no-hair theorem in power-law inflation Cosmic no-hair theorem in power-law inflation

Feb 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992phrvd..45.1416k&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 45, Issue 4, 15 February 1992, pp.1416-1419

Physics

54

Particle-Theory And Field-Theory Models Of The Early Universe, Gravity In More Than Four Dimensions, Kaluza-Klein Theory, Unified Field Theories, Alternative Theories Of Gravity

Scientific paper

We prove a cosmic no-hair theorem for Bianchi models in power-law inflation. Provided that the potential of an inflaton φ is exp(-λκφ) with 0<=λ< √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.

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