141 citations · 582 across the 23 of their papers we have counts for
11 papers · 1 filter
Spacetime Groups
Ian Anderson, Charles Torre
A spacetime group is a connected 4-dimensional Lie group G endowed with a left invariant Lorentz metric h and such that the connected component of the isometry group of h is G itse…
Affine Symmetry, Geodesics, and Homogeneous Spacetimes
David Maughan, Charles Torre
We show that the conservation laws for the geodesic equation which are associated to affine symmetries can be obtained from symmetries of the Lagrangian for affinely parametrized g…
Rainich Conditions in (2+1)-Dimensional Gravity
D. S. Krongos, C. G. Torre
In (3 + 1) spacetime dimensions the Rainich conditions are a set of equations expressed solely in terms of the metric tensor which are equivalent to the Einstein-Maxwell equations…
Schrodinger representation for the polarized Gowdy model
C. G. Torre
The polarized Gowdy model is, in a standard gauge, characterized by a point particle degree of freedom and a scalar field degree of freedom obeying a linear field equat…
Observables for the polarized Gowdy model
C. G. Torre
We give an explicit characterization of all functions on the phase space for the polarized Gowdy 3-torus spacetimes which have weakly vanishing Poisson brackets with the Hamiltonia…
Cosmology, cohomology, and compactification
C. G. Torre
Ashtekar and Samuel have shown that Bianchi cosmological models with compact spatial sections must be of Bianchi class A. Motivated by general results on the symmetry reduction of…