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Extended disformal approach in the scenario of rainbow gravity

Gabriel G. Carvalho*, Iarley P. Lobo†, and Eduardo Bittencourt‡

  • CAPES Foundation, Ministry of Education of Brazil, Brasília, Brazil and Sapienza Università di Roma—Dipartimento di Fisica P.le Aldo Moro 5, 00185 Rome, Italy

  • *Gabriel.Carvalho@icranet.org
  • †Iarley.PereiraLobo@icranet.org
  • ‡Eduardo.Bittencourt@icranet.org
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Phys. Rev. D 93, 044005 – Published 4 February, 2016

DOI: https://doi.org/10.1103/PhysRevD.93.044005

Abstract

We investigate all feasible mathematical representations of disformal transformations on a space-time metric according to the action of a linear operator upon the manifold’s tangent and cotangent bundles. The geometric, algebraic, and group structures of this operator and their interfaces are analyzed in detail. Then, we scrutinize a possible physical application, providing a new covariant formalism for a phenomenological approach to quantum gravity known as rainbow gravity.

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Phys. Rev. D 93, 044005– Published 4 February, 2016
  • Received 2 November 2015

© 2016 American Physical Society

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