Lie algebra expansions and actions for non-relativistic gravity

Abstract

Abstract 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 ultra-relativistic gravity and non-relativistic supergravity as well.

Keywords

• Classical Theories of Gravity
• Space-Time Symmetries
• Chern-Simons Theories
• Effective Field Theories