Constructive Gravity: Foundations and Applications

Abstract

Constructive gravity allows to calculate the Lagrangian for gravity, provided one previously prescribes the Lagrangian for all matter fields on a spacetime geometry of choice. We explain the physical and mathematical foundation of this result and point out how to answer questions about gravity that could not be meaningfully asked previously.

Comments: 23 pages, invited rapporteur article for the proceedings of the 15th Marcel Grossmann Meeting Rome 2018