Symmetric Criticality in General Relativity

Authors

Charles G. Torre, Department of Physics, Utah State UniversityFollow

Document Type

Article

Publication Date

2018

Creative Commons License

This work is licensed under a Creative Commons Attribution-Noncommercial 4.0 License

Abstract

In this worksheet I explore the local Lagrangian version of the Principle of Symmetric Criticality (PSC) due to Anderson, Fels, and Torre], which asserts the commutativity of the processes (i) of symmetry reduction (for finding group-invariant fields) and (ii) forming Euler-Lagrange equations. There are two obstructions to PSC, which I will call the Lie algebra obstruction and the isotropy obstruction. In this worksheet I will illustrate these obstructions in the General Theory of Relativity.

Recommended Citation

Torre, Charles G., "Symmetric Criticality in General Relativity" (2018). Research Vignettes. Paper 15.
https://digitalcommons.usu.edu/dg_applications/15