Acceleration from M theory and Fine-tuning

Details Acceleration from M theory and Fine-tuning Acceleration from M theory and Fine-tuning

2006-02-14

arxiv.org/abs/gr-qc/0602055v3

Class.Quant.Grav. 23 (2006) 3419-3426

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, 3 figures, use iopart, v2; references updated, accepted for publication in Class. Quantum Grav

Scientific paper

10.1088/0264-9381/23/10/012

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 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.

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