Scale invariance in Newton-Cartan and Horava-Lifshitz gravity


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

CLASSICAL AND QUANTUM GRAVITY, cilt.35, 2018 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 35 Konu: 11
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1088/1361-6382/aac07e
  • Dergi Adı: CLASSICAL AND QUANTUM GRAVITY

Özet

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.