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arXiv · 2207.07882

Non-Relativistic and Ultra-Relativistic Scaling Limits of Multimetric Gravity

Ertuğrul Ekiz·Oguzhan Kasikci·Mehmet Ozkan·Cemal Berfu Senisik·Utku Zorba
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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 Poincar\'e 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.

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Ertuğrul Ekiz, Oguzhan Kasikci, Mehmet Ozkan, Cemal Berfu Senisik, Utku Zorba. 2022-07-16. Non-Relativistic and Ultra-Relativistic Scaling Limits of Multimetric Gravity. https://doi.org/10.1007/jhep10(2022)151

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