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.
arXiv comment32 pages, v2, references updated, version appeared in JHEP
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