13 citations · 19 across the 8 of their papers we have counts for
5 papers · 1 filter
Spinorial coordinates for Lorentzian 4-metrics
D. C. Robinson
Lorentzian 4-metrics are expressed in spinorial coordinates. In these coordinates the metric components can be factorized into a product of complex conjugate quantities. The linear…
Generalized Chern-Simons action principles for gravity
D. C. Robinson
Generalized differential forms are employed to construct generalized connections. Lorentzian four-metrics determined by certain of these connections satisfy Einstein's vacuum field…
Intrinsic Geometry of a Null Hypersurface
Paweł Nurowski, David C. Robinson
We apply Cartan's method of equivalence to construct invariants of a given null hypersurface in a Lorentzian space-time. This enables us to fully classify the internal geometry of…
Extension of bundles of null directions
Pawel Nurowski, Lane Hughston, David Robinson
The geometry of P, the bundle of null directions over an Einstein space-time, is studied. The full set of invariants of the natural G-structure on P is constructed using the Cartan…
Linearized Constraints in the Connection Representation: Hamilton-Jacobi Solution
J. N. Goldberg, D. C. Robinson
Newman and Rovelli have used singular Hamilton-Jacobi transformations to reduce the phase space of general relativity in terms of the Ashtekar variables. Their solution of the gaug…