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Cosmological magnetogenesis from extra-dimensional Gauss-Bonnet gravity

Kumar Atmjeet*, Isha Pahwa†, and T. R. Seshadri‡

Kandaswamy Subramanian§

  • Department of Physics and Astrophysics, University of Delhi, Delhi 110007, India

  • IUCAA, Post Bag 4, Ganeshkhind, Pune 411007, India

  • *katmjeet@physics.du.ac.in
  • †ipahwa@physics.du.ac.in
  • ‡trs@physics.du.ac.in
  • §kandu@iucaa.ernet.in
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Phys. Rev. D 89, 063002 – Published 3 March, 2014

DOI: https://doi.org/10.1103/PhysRevD.89.063002

Abstract

Generation of primordial magnetic fields during inflation typically requires the breaking of conformal invariance of the electromagnetic action. In this paper this has been achieved naturally in a higher-dimensional cosmological model with a Gauss-Bonnet term in the action. The evolution of the scale factor of the extra dimension (whose dynamics is influenced by the Gauss-Bonnet term) acts as the cause for the breaking of conformal invariance. Different cases have been investigated, each of which is characterized by the number of higher dimensions, the value of the Gauss-Bonnet parameter, and the cosmological constant. Many of the scenarios considered are highly constrained by the requirements that the cosmic evolution is stable, that the normal dimensions expand, and that there is no backreaction due to growing electric fields. However, there do exist scenarios which satisfy the above requirements and are well suited for magnetogenesis. In particular, a scenario where the number of extra dimensions D=4 and the cosmological constant is nonzero turns out to be best suited for generating primordial magnetic fields. It is shown that for these values of parameters, a scale-invariant magnetic field of the order of 10−10–10−9 G can be produced. Even in these most favorable scenarios, the higher-dimensional space expands during inflation at the same rate as the normal dimension. Hence, if a mechanism could freeze the evolution of the higher dimension, this seems to be a viable mechanism to produce acceptable primordial magnetic fields.

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Phys. Rev. D 89, 063002– Published 3 March, 2014
  • Received 31 December 2013

© 2014 American Physical Society

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