Thick brane isotropization in a generalized 5D anisotropic standing wave braneworld model

Merab Gogberashvili, Alfredo Herrera–Aguilar, Dagoberto Malagón–Morejón, Refugio Rigel Mora–Luna, and Ulises Nucamendi
Phys. Rev. D 87, 084059 – Published 23 April 2013

Abstract

We study a smooth cosmological solution within a generalized 5D standing wave braneworld modeled by gravity and a phantom scalar field. In this model the 3-brane is anisotropically warped along its spatial dimensions and contains a novel time-dependent scale factor that multiplies the anisotropic spatial interval of the 5D metric, a fact that allows us to study cosmological effects. By explicitly solving the bulk field equations we found a natural mechanism which isotropizes the braneworld for a wide class of natural initial conditions. We are able to give a physical interpretation of the anisotropic dissipation: as the anisotropic energy of the 3-brane rapidly leaks into the bulk through the nontrivial components of the nonlocal Weyl tensor projected to the brane, the bulk becomes less isotropic. At the same time, under the action of the 4D cosmological constant, the anisotropic braneworld super-exponentially isotropizes by itself, rendering a 3-brane with de Sitter symmetry embedded in a 5D de Sitter space-time, while the phantom scalar field exponentially vanishes.

  • Received 6 December 2012

DOI:https://doi.org/10.1103/PhysRevD.87.084059

© 2013 American Physical Society

Authors & Affiliations

Merab Gogberashvili1,*, Alfredo Herrera–Aguilar2,3,†, Dagoberto Malagón–Morejón2,‡, Refugio Rigel Mora–Luna3,§, and Ulises Nucamendi3,∥

  • 1Andronikashvili Institute of Physics, 6 Tamarashvili Street, Tbilisi 0177, Georgia and Javakhishvili State University, 3 Chavchavadze Avenue, Tbilisi 0128, Georgia
  • 2Instituto de Ciencias Físicas, Universidad Nacional Autónoma de México, Apartado Postal 48-3, CP 62251, Cuernavaca, Morelos, Mexico
  • 3Instituto de Física y Matemáticas, Universidad Michoacana de San Nicolás de Hidalgo, Edificio C-3, Ciudad Universitaria, Morelia CP 58040, Michoacán, Mexico

  • *gogber@gmail.com
  • aha@fis.unam.mx
  • malagon@fis.unam.mx
  • §rigel@ifm.umich.mx
  • ulises@ifm.umich.mx

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Issue

Vol. 87, Iss. 8 — 15 April 2013

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