A Note on Thermodynamics and Holography of Moving Giant Gravitons

TL;DR

This paper investigates the thermodynamic and holographic properties of a moving giant graviton in a brane universe, confirming certain holographic bounds and exploring their implications in a cosmological context.

Contribution

It extends previous work by analyzing thermodynamics and holographic principles of moving giant gravitons, highlighting the validity of holographic bounds in this setting.

Findings

Fischler-Susskind holographic bound is satisfied for p>3.

Bekenstein and Hubble entropy bounds hold in this model.

Verlinde's holographic principle is applicable to the brane universe.

Abstract

In our previous work (Phys. Rev. D63, 085010, hep-th/0011290), we showed that the brane universe on the giant graviton moving in the near-horizon background of the dilatonic D(6-p)-brane is described by the mirage cosmology. We study thermodynamic properties of the moving giant graviton by applying thermodynamics of cosmology and the recently proposed holographic principles of cosmology. We find that the Fischler-Susskind holographic bound is satisfied by the closed brane universe on the moving giant graviton with p>3. The Bekenstein and the Hubble entropy bounds and the recently proposed Verlinde's holographic principle applied to the brane universe on the giant graviton are also studied.