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Acceleration from M theory and fine-tuning

Yungui Gong1,2 and Anzhong Wang2

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The compactification of M theory with time-dependent hyperbolic internal space gives an effective scalar field with exponential potential which provides a transient acceleration in the Einstein frame in four dimensions. Ordinary matter and radiation are present in addition to the scalar field coming from compactification. We find that we have to fine-tune the initial conditions of the scalar field so that our universe experiences acceleration now. During the evolution of our universe, the volume of the internal space increases about 12 times. The time variation of the internal space results in a large time variation of the fine structure constant which violates the observational constraint on the variation of the fine structure constant. The large variation of the fine structure constant is a generic feature of transient acceleration models.


PACS

11.25.Yb M theory

04.50.-h Higher-dimensional gravity and other theories of gravity

98.80.Es Observational cosmology (including Hubble constant, distance scale, cosmological constant, early Universe, etc)

11.25.Mj Compactification and four-dimensional models

98.80.Cq Particle-theory and field-theory models of the early Universe (including cosmic pancakes, cosmic strings, chaotic phenomena, inflationary universe, etc.)

MSC

83E30 String and superstring theories (See also 81T30)

83F05 Cosmology

85A40 Cosmology (For relativistic cosmology, see 83F05)

Subjects

Gravitation and cosmology

Particle physics and field theory

Astrophysics and astroparticles

Dates

Issue 10 (21 May 2006)

Received 17 February 2006

Published 24 April 2006



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