Non-relativistic and ultra-relativistic scaling limits of multimetric gravity

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Ekiz E., Kasikci O., Ozkan M., Senisik C. B., Zorba U.

JOURNAL OF HIGH ENERGY PHYSICS, no.10, 2022 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Publication Date: 2022
  • Doi Number: 10.1007/jhep10(2022)151
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, INSPEC, zbMATH, Directory of Open Access Journals
  • Keywords: Chern-Simons Theories, Classical Theories of Gravity, Gauge Symmetry, Space-Time Symmetries
  • Istanbul Technical University Affiliated: Yes


We present a method of contraction that can be applied to re-construct the recent extended non-relativistic and ultra-relativistic algebras as well as corresponding action principles. The methodology involves the use of multiple copies of Poincare algebra. Consequently, the contraction defines non-relativistic or ultra-relativistic limits of multimetric theories of gravity. In particular, we show that the non-relativistic scaling limit of bi-metric gravity corresponds to the recent formulation of an action principle for Newtonian gravity with a constant background mass density.