Simple types of anisotropic inflation

Journal Article · Fri Jan 15 00:00:00 EST 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.023513· OSTI ID:21409046

Barrow, John D ^[1]; Hervik, Sigbjoern ^[2]

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1. DAMTP, Centre for Mathematical Sciences, Cambridge University, Wilberforce Road, Cambridge CB3 0WA (United Kingdom)
2. Faculty of Science and Technology, University of Stavanger, N-4036 Stavanger (Norway)

We display some simple cosmological solutions of gravity theories with quadratic Ricci curvature terms added to the Einstein-Hilbert Lagrangian which exhibit anisotropic inflation. The Hubble expansion rates are constant and unequal in three orthogonal directions. We describe the evolution of the simplest of these homogeneous and anisotropic cosmological models from its natural initial state and evaluate the deviations they will create from statistical isotropy in the fluctuations produced during a period of anisotropic inflation. The anisotropic inflation is not a late-time attractor in these models but the rate of approach to a final isotropic de Sitter state is slow and is conducive to the creation of observable anisotropic statistical effects in the microwave background. The statistical anisotropy would not be scale invariant and the level of statistical anisotropy will grow with scale.

• OSTI ID: 21409046
• Journal Information: Physical Review. D, Particles Fields, Vol. 81, Issue 2; Other Information: DOI: 10.1103/PhysRevD.81.023513; (c) 2010 The American Physical Society; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANISOTROPY
COSMOLOGICAL MODELS
DE SITTER SPACE
FLUCTUATIONS
GRAVITATION
HILBERT SPACE
HUBBLE EFFECT
INFLATIONARY UNIVERSE
ISOTROPY
LAGRANGIAN FUNCTION
MATHEMATICAL SOLUTIONS
MICROWAVE RADIATION
BANACH SPACE
ELECTROMAGNETIC RADIATION
FUNCTIONS
MATHEMATICAL MODELS
MATHEMATICAL SPACE
RADIATIONS
SPACE
VARIATIONS