The big bang and inflation united by an analytic solution
- Department of Physics and Astronomy, University of Southern California, Los Angeles, California 90089-2535 (United States)
- Department of Physics and School of Earth and Space Exploration, Arizona State University, Tempe, Arizona 85287-1404 (United States)
Exact analytic solutions for a class of scalar-tensor gravity theories with a hyperbolic scalar potential are presented. Using an exact solution we have successfully constructed a model of inflation that produces the spectral index, the running of the spectral index, and the amplitude of scalar perturbations within the constraints given by the WMAP 7 years data. The model simultaneously describes the big bang and inflation connected by a specific time delay between them so that these two events are regarded as dependent on each other. In solving the Friedmann equations, we have utilized an essential Weyl symmetry of our theory in 3+1 dimensions which is a predicted remaining symmetry of 2T-physics field theory in 4+2 dimensions. This led to a new method of obtaining analytic solutions in the 1T field theory which could in principle be used to solve more complicated theories with more scalar fields. Some additional distinguishing properties of the solution includes the fact that there are early periods of time when the slow-roll approximation is not valid. Furthermore, the inflaton does not decrease monotonically with time; rather, it oscillates around the potential minimum while settling down, unlike the slow-roll approximation. While the model we used for illustration purposes is realistic in most respects, it lacks a mechanism for stopping inflation. The technique of obtaining analytic solutions opens a new window for studying inflation, and other applications, more precisely than using approximations.
- OSTI ID:
- 21513090
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 83, Issue 4; Other Information: DOI: 10.1103/PhysRevD.83.043522; (c) 2011 American Institute of Physics; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
AMPLITUDES
ANALYTICAL SOLUTION
APPROXIMATIONS
DISTURBANCES
EXACT SOLUTIONS
FIELD THEORIES
GRAVITATION
INFLATIONARY UNIVERSE
MANY-DIMENSIONAL CALCULATIONS
PERTURBATION THEORY
SCALAR FIELDS
SYMMETRY
TIME DELAY
CALCULATION METHODS
COSMOLOGICAL MODELS
MATHEMATICAL MODELS
MATHEMATICAL SOLUTIONS