TL;DR
This paper investigates the anisotropic evolution of a probe D-brane within a p-brane background, deriving conditions for isotropic evolution and calculating associated masses and charges.
Contribution
It introduces a model for anisotropic D-brane evolution with specific topology and derives conditions for isotropy, including background p-brane properties.
Findings
Derived anisotropic evolution equations for D-branes.
Identified conditions for isotropic evolution.
Calculated masses and charges of background p-branes.
Abstract
The evolution of a probe D-brane in the p-brane background has been considered. The anisotropic evolution of the world-volume of the D-brane with a given topology of a world-volume in a form of a direct product of a n-dimensional flat space and (3-n)-dimensional sphere has been obtained. In this case the anisotropy is described with the aid of two parameters (Hubble parameters). The special case of this evolution, namely the isotropic evolution corresponds to equality of these two parameters. In the latter case the masses and charges of the background p-branes have been derived.
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