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Dark radiation dynamics on the brane

Rui Neves* and Cenalo Vaz†

  • Área Departamental de Física/CENTRA, FCT, Universidade do Algarve, Campus de Gambelas, 8000-117 Faro, Portugal

  • *Email address: rneves@ualg.pt
  • †Email address: cvaz@ualg.pt
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Phys. Rev. D 66, 124002 – Published 3 December, 2002

DOI: https://doi.org/10.1103/PhysRevD.66.124002

Abstract

We investigate the dynamics of a spherically symmetric vacuum on a Randall and Sundrum 3-brane world. Under certain natural conditions, the effective Einstein equations on the brane form a closed system for spherically symmetric dark radiation. We determine exact dynamical and inhomogeneous solutions, which are shown to depend on the brane cosmological constant, on the dark radiation tidal charge and on its initial energy configuration. We identify the conditions defining these solutions as singular or as globally regular. Finally, we discuss the confinement of gravity to the vicinity of the brane and show that a phase transition to a regime where gravity is not bound to the brane may occur at short distances during the collapse of positive dark energy density on a realistic de Sitter brane.

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Phys. Rev. D 66, 124002– Published 3 December, 2002
  • Received 19 August 2002

© 2002 American Physical Society

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