Scale invariance in Newton-Cartan and Horava-Lifshitz gravity

Devecioglu D. O. , Özdemir N., Özkan M., Zorba U.

CLASSICAL AND QUANTUM GRAVITY, vol.35, no.11, 2018 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 35 Issue: 11
  • Publication Date: 2018
  • Doi Number: 10.1088/1361-6382/aac07e
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: Newton-Cartan gravity, Schrodinger symmetries, HoravaLifshitz gravity, SYMMETRY, GEOMETRY
  • Istanbul Technical University Affiliated: Yes


We present a detailed analysis of the construction of Z = 2 and Z not equal 2 scale invariant Horava-Lifshitz gravity. The construction procedure is based on the realization of Horava-Lifshitz gravity as the dynamical Newton-Cartan geometry as well as a non-relativistic tensor calculus in the presence of the scale symmetry. An important consequence of this method is that it provides us with the necessary mechanism to distinguish the local scale invariance from the local Schrodinger invariance. Based on this result we discuss the z = 2 scale invariant Horava-Lifshitz gravity and the symmetry enhancement to the full Schrodinger group.