The Friedmann Equation in Brane-World Scenarios

Justin Khoury and Ren-Jie Zhang
Phys. Rev. Lett. 89, 061302 – Published 23 July 2002

Abstract

The Friedmann law on the brane generically depends quadratically on the brane energy density and involves a “dark radiation” term due to the bulk Weyl tensor. Despite its unfamiliar form, we show how it can be derived from a standard four-dimensional Brans-Dicke theory at low energy. In particular, the dark radiation term is found to depend linearly on the brane energy densities. For any equation of state on the branes, the radion evolves such as to generate radiation-dominated cosmology. The radiation-dominated era is conventional and consistent with nucleosynthesis.

  • Received 1 April 2002

DOI:https://doi.org/10.1103/PhysRevLett.89.061302

©2002 American Physical Society

Authors & Affiliations

Justin Khoury1 and Ren-Jie Zhang2

  • 1Joseph Henry Laboratories, Princeton University, Princeton, New Jersey 08544
  • 2School of Natural Sciences, Institute for Advanced Study, Princeton, New Jersey 08540

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Issue

Vol. 89, Iss. 6 — 5 August 2002

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