87 citations · 176 across the 5 of their papers we have counts for
5 papers
Symmetry reduction of gravitational Lagrangians
Guillermo Frausto, Ivan Kolář, Tomáš Málek +1
We analyze all possible symmetry reductions of Lagrangians that yield fully equivalent field equations for any 4-dimensional metric theory of gravity. Specifically, we present a co…
A New Non-Inheriting Homogeneous Solution of the Einstein-Maxwell Equations with Cosmological Term
I. M. Anderson, C. G. Torre
We find a new homogeneous solution to the Einstein-Maxwell equations with a cosmological term. The spacetime manifold is . The spacetime metric admits a simply transi…
New Symbolic Tools for Differential Geometry, Gravitation, and Field Theory
I. M. Anderson, C. G. Torre
DifferentialGeometry is a Maple software package which symbolically performs fundamental operations of calculus on manifolds, differential geometry, tensor calculus, Lie algebras,…
Asymptotic conservation laws in field theory
I. M. Anderson, C. G. Torre
A new, general, field theoretic approach to the derivation of asymptotic conservation laws is presented. In this approach asymptotic conservation laws are constructed directly from…
Symmetries of the Einstein Equations
C. G. Torre, I. M. Anderson
Generalized symmetries of the Einstein equations are infinitesimal transformations of the spacetime metric that formally map solutions of the Einstein equations to other solutions.…