Non-Relativistic and Ultra-Relativistic Scaling Limits of Multimetric Gravity
arXiv:2207.07882 · doi:10.1007/JHEP10(2022)151
Abstract
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 Poincaré 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.
32 pages, v2, references updated, version appeared in JHEP
References in corpus (16)
- Massive Gravity in Three Dimensions
- Conformal Carroll groups and BMS symmetry
- Carroll versus Newton and Galilei: two dual non-Einsteinian concepts of time
- Newtonian Gravity and the Bargmann Algebra
- Conformal Carroll groups
- Dynamics of Carroll Particles
- New massive gravity, extended
- Expansions of algebras and superalgebras and some applications
- A Chern-Simons approach to Galilean quantum gravity in 2+1 dimensions
- AdS Carroll Chern-Simons supergravity in 2+1 dimensions and its flat limit
- Three-dimensional Spin-3 Theories Based on General Kinematical Algebras
- Non-Relativistic Gravity Theory based on an Enlargement of the Extended Bargmann Algebra
- N-extended Chern-Simons Carrollian supergravities in 2+1 spacetime dimensions
- Interacting spin-2 fields in three dimensions
- Three-dimensional non-relativistic supergravity and torsion
- Unitary Extension of Exotic Massive 3D Gravity from Bi-gravity