TL;DR
This paper investigates the cosmological evolution of a closed universe modeled as a spherical probe brane moving in specific curved backgrounds, deriving Friedmann equations and analyzing effective energy components.
Contribution
It derives the Friedmann equations and effective energy-momentum for a spherical probe brane in AdS and dilatonic D-brane backgrounds, linking brane motion to cosmological evolution.
Findings
Derived Friedmann equations for the probe brane universe.
Analyzed effective energy density and pressure due to brane motion.
Commented on the connection to giant graviton configurations.
Abstract
We study the cosmological evolution of the closed universe on a spherical probe brane moving in the AdS background and the near-horizon background of the dilatonic D-branes. The Friedmann equations describing the evolution of the brane universe, and the effective energy density and pressure simulated on the probe brane due to its motion in the curved background spacetime are obtained and analyzed. We also comment on the relevance of the spherical probe brane to the giant graviton for the special value of the probe energy.
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