Lie Algebra Expansions and Actions for Non-Relativistic Gravity

Understand

We show that the general method of Lie algebra expansions can be applied to re-construct several algebras and related actions for non-relativistic gravity that have occurred in the recent literature.

• We explain the method and illustrate its applications by giving several explicit examples.
• The method can be generalized to include the construction of actions for ultra-relativistic gravity, i.e.
• Carroll gravity, and non-relativistic supergravity as well.