Constructive Gravity: Foundations and Applications
Frederic P. Schuller
TL;DR
Constructive gravity provides a method to derive gravitational Lagrangians based on prescribed matter field Lagrangians and spacetime geometry, enabling new questions about gravity to be addressed.
Contribution
The paper introduces a foundational approach to construct gravitational Lagrangians from matter fields and geometry, expanding the theoretical framework of gravity.
Findings
A systematic method to compute gravity Lagrangians from matter fields.
Clarification of the physical and mathematical basis of constructive gravity.
New possibilities for exploring gravity theories previously inaccessible.
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.
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Taxonomy
TopicsRelativity and Gravitational Theory · Cosmology and Gravitation Theories · Computational Physics and Python Applications