Abstract
We consider the effect of string inhomogeneities on the time dependent background of Brane Gas Cosmology. We derive the equations governing the linear perturbations of the dilaton-gravity background in the presence of string matter sources. We focus on long wavelength fluctuations and find that there are no instabilities. Thus, the predictions of Brane Gas Cosmology are robust against the introduction of linear perturbations. In particular, we find that the stabilization of the extra dimensions (moduli) remains valid in the presence of dilaton and string perturbations.
Highlights
Understanding the behavior of strings in a time dependent background has been a subject of much interest and has been pursued in a number of differing ways
We have considered the evolution of linearized string inhomogeneities and dilaton fluctuations in the background of Brane Gas Cosmology (BGC)
This generalizes the result of the conventional theory of cosmological perturbations in Einstein gravity in four space-time dimensions which states that on scales larger than the Hubble radius, self-gravitational effects dominate the dynamics, and that the matter sources are dragged along by the metric
Summary
Understanding the behavior of strings in a time dependent background has been a subject of much interest and has been pursued in a number of differing ways. In [5] it was shown that by considering both momentum and winding modes of strings, the six confined dimensions can be stabilized at the self-dual radius, where the energy of the string gas is minimal. This result demonstrated that, in BGC, the volume moduli of the extra dimensions can be stabilized in a natural and intuitive way.
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