• Characterization of the Lovelock gravity by Bianchi derivative

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      https://www.ias.ac.in/article/fulltext/pram/074/06/0875-0882

    • Keywords

       

      Gauss–Bonnet gravity; Lovelock gravity; higher derivative; higher dimensions; Bianchi derivative.

    • Abstract

       

      We prove the theorem: The second-order quasilinear differential operator as a second-rank divergence-free tensor in the equation of motion for gravitation could always be derived from the trace of the Bianchi derivative of the fourth-rank tensor, which is a homogeneous polynomial in curvatures. The existence of such a tensor for each term in the polynomial Lagrangian is a new characterization of the Lovelock gravity.

    • Author Affiliations

       

      Naresh Dadhich1

      1. Inter-University Centre for Astronomy & Astrophysics, Post Bag 4, Pune 411 007, India
    • Dates

       
  • Pramana – Journal of Physics | News

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