162 citations · 299 across the 9 of their papers we have counts for
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Hamiltonian Dynamics of Spatially-Homogeneous Vlasov-Einstein Systems
Takahide Okabe, P. J. Morrison, J. E. Friedrichsen +1
We introduce a new matter action principle, with a wide range of applicability, for the Vlasov equation in terms of a conjugate pair of functions. Here we apply this action princip…
Gauge symmetries in Ashtekar's formulation of general relativity
D. C. Salisbury, J. M. Pons, L. C. Shepley
It might seem that a choice of a time coordinate in Hamiltonian formulations of general relativity breaks the full four-dimensional diffeomorphism covariance of the theory. This is…
The gauge group in the real triad formulation of general relativity
J. M. Pons, D. C. Salisbury, L. C. Shepley
We construct explicitly generators of projectable four-dimensional diffeomorphisms and triad rotation gauge symmetries in a model of vacuum gravity where the fundamental dynamical…
Gauge Transformations in Einstein-Yang-Mills Theories
J. M. Pons, D. C. Salisbury, L. C. Shepley
We discuss the relation between spacetime diffeomorphisms and gauge transformations in theories of the Yang-Mills type coupled with Einstein's General Relativity. We show that loca…
Gauge group and reality conditions in Ashtekar's complex formulation of canonical gravity
J. M. Pons, D. C. Salisbury, L. C. Shepley
We discuss reality conditions and the relation between spacetime diffeomorphisms and gauge transformations in Ashtekar's complex formulation of general relativity. We produce a gen…
Dimensional reduction and gauge group reduction in Bianchi-Type cosmology
J. M. Pons, L. C. Shepley
In this paper we examine in detail the implementation, with its associated difficulties, of the Killing conditions and gauge fixing into the variational principle formulation of Bi…