134 citations · 367 across the 14 of their papers we have counts for
14 papers
Geometrization Conditions for Perfect Fluids, Scalar Fields, and Electromagnetic Fields
D. S. Krongos, C. G. Torre
Rainich-type conditions giving a spacetime "geometrization" of matter fields in general relativity are reviewed and extended. Three types of matter are considered: perfect fluids,…
The Spacetime Geometry of a Null Electromagnetic Field
C. G. Torre
We give a set of local geometric conditions on a spacetime metric which are necessary and sufficient for it to be a null electrovacuum, that is, the metric is part of a solution to…
All homogeneous pure radiation spacetimes satisfy the Einstein-Maxwell equations
C. G. Torre
It is shown that all homogeneous pure radiation solutions to the Einstein equations admit electromagnetic sources. This corrects an error in the literature.
Symmetric Criticality in Classical Field Theory
C. G. Torre
This is a brief overview of work done by Ian Anderson, Mark Fels, and myself on symmetry reduction of Lagrangians and Euler-Lagrange equations, a subject closely related to Palais'…
Symmetry Reduction of Quasi-Free States
C. G. Torre
Given a group-invariant quasi-free state on the algebra of canonical commutation relations (CCR), we show how group averaging techniques can be used to obtain a symmetry reduced CC…
The Helically-Reduced Wave Equation as a Symmetric-Positive System
C. G. Torre
Motivated by the partial differential equations of mixed type that arise in the reduction of the Einstein equations by a helical Killing vector field, we consider a boundary value…