Anisotropic inflation
The theory of inflationary cosmology is studied for initially anisotropic cosmological models. New inflation was considered in a Bianchi 1 universe with constant scale factor and the one loop effective potential was derived for a massive, quartically self-interacting, scalar field coupled to gravity. Regularization is accomplished by Hawking's zeta function method, and the effective potential is renormalized. The effects on inflation are discussed for various parameters. The R squared inflation in Bianchi 1 and 9 models are analyzed. The field equations are written as coupled first order differential equations and are solved numerically. Analytical arguments are also given using an R-H (Ricci scalar and Hubble parameter) phase space approach. For the Bianchi 1 case, any amount of initial anisotropy decays quickly relative to the length of the inflationary epoch, and the amount of inflation is enhanced. The same behavior is found in Bianchi 9 universes, with the exception of models near isotropy. In these cases, a wide range of initial parameters causes the universe to recollapse, thus reducing the phase space in which inflation can occur. Next, the b{sub 8} coefficient in the Schwinger-deWitt expansion of the coincident heat kernel for a massive scalar field in an arbitrary curved spacetime was calculated. This expansion is commonly used in the renormalization of the stress energy tensor. Other b{sub n} coefficients were derived using recurrence relations. The operator is split into the flat space Laplacian and the perturbation arising from curved space terms. Geometric quantities in the perturbation are expanded using Riemann normal coordinates and terms which contribute to b{sub n} identified by dimensional arguments. Both b{sub 6} and b{sub 8} are found.
- Research Organization:
- Texas Univ., Austin, TX (USA)
- OSTI ID:
- 6709521
- Resource Relation:
- Other Information: Ph.D. Thesis
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
GENERAL PHYSICS
COSMOLOGICAL MODELS
ANISOTROPY
COSMOLOGY
DIFFERENTIAL EQUATIONS
DISTURBANCES
GRAVITATION
ISOTROPY
KERNELS
SCALARS
SPACE-TIME
TENSORS
THEORETICAL DATA
UNIVERSE
DATA
EQUATIONS
INFORMATION
MATHEMATICAL MODELS
NUMERICAL DATA
640106* - Astrophysics & Cosmology- Cosmology