181 citations · 425 across the 13 of their papers we have counts for
13 papers
Exterior Differential Systems for Field Theories
Frank B. Estabrook
Exterior Differential Systems (EDS) and Cartan forms, set in the state space of field variables taken together with four space-time variables, are formulated for classical gauge th…
Specialized Orthonormal Frames and Embedding
Frank B. Estabrook
We discuss some specializations of the frames of flat orthonormal frame bundles over geometries of indefinite signature, and the resulting symmetries of families of embedded Rieman…
The Hilbert Lagrangian and Isometric Embedding: Tetrad Formulation of Regge-Teitelboim Gravity
Frank B. Estabrook
We discuss Exterior Differential Systems (EDS) for the vacuum gravitational field. These EDS are derived by varying the Hilbert-Einstein Lagrangian, given most elegantly as a Carta…
Modulator noise suppression in the LISA Time-Delay Interferometric combinations
Massimo Tinto, John W. Armstrong, Frank B. Estabrook
We previously showed how the measurements of some eighteen time series of relative frequency or phase shifts could be combined (1) to cancel the phase noise of the lasers, (2) to c…
Field Theories found Geometrically from Embeddings in Flat Frame Bundles
Frank B. Estabrook
We present two families of exterior differential systems (EDS) for non-isometric embeddings of orthonormal frame bundles over Riemannian spaces of dimension q = 2, 3, 4, 5.... into…
Classic field theories of gravitation embedded in ten dimensions
Frank B. Estabrook
Two classic field theories of metric gravitation are given as constant-coefficient Exterior Differential Systems (EDS) on the flat orthonormal frame bundle over ten dimensional spa…