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pro vyhledávání: '"Robinson, D C"'
Autor:
Robinson, D C
Generalized differential forms are used in discussions of metric geometries and Einstein's vacuum field equations. Cartan's structure equations are generalized and applied. In particular flat generalized connections are associated with any metric. Ei
Externí odkaz:
http://arxiv.org/abs/2202.00578
Autor:
Robinson, D. C.
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 linearized theory and Einstein's vacuum field equations are studied using th
Externí odkaz:
http://arxiv.org/abs/2104.02067
Autor:
Robinson, D. C.
Publikováno v:
European Physical Journal H (2019)
This essay concerns the study of gravitation and general relativity at King's College London (KCL). It covers developments since the nineteenth century but its main focus is on the quarter of a century beginning in 1955. At King's research in the twe
Externí odkaz:
http://arxiv.org/abs/1811.07303
Autor:
Robinson, D. C.
Generalized differential forms are employed to construct generalized connections. Lorentzian four-metrics determined by certain of these connections satisfy Einstein's vacuum field equations when the connections are flat. Generalized Chern-Simons act
Externí odkaz:
http://arxiv.org/abs/1506.09090
Autor:
Robinson, D. C.
The algebra and calculus of generalized differential forms are reviewed and employed to construct a class of generalized connections and to investigate their properties. The class includes generalized connections which are flat when Einstein's vacuum
Externí odkaz:
http://arxiv.org/abs/1312.0846
Autor:
Robinson, D. C.
Vector fields with components which are generalized zero-forms are constructed. Inner products with generalized forms, Lie derivatives and Lie brackets are computed. The results are shown to generalize previously reported results for generalized vect
Externí odkaz:
http://arxiv.org/abs/1309.4607
We present a noncommutative version of a plane-wave solution to the gravitational field equations. We start with a given classical solution, admittedly rather simple, and construct an algebra and a differential calculus which supports the metric. In
Externí odkaz:
http://arxiv.org/abs/hep-th/0207225
Publikováno v:
Philosophical Transactions: Mathematical, Physical and Engineering Sciences, 1999 Mar . 357(1752), 397-413.
Externí odkaz:
https://www.jstor.org/stable/55120
Publikováno v:
Philosophical Transactions: Mathematical, Physical and Engineering Sciences, 1999 Mar . 357(1752), 515-531.
Externí odkaz:
https://www.jstor.org/stable/55125
Autor:
Aymar, R., Pease, R. S., Robinson, D. C., Wolf, G. H., Hawryluk, R. J., Haines, M. G., Windsor, C., Keilhacker, M., Bruhns, H., Lackner, K., Vandenplas, P., Cordey, J. G., Sheffield, J.
Publikováno v:
Philosophical Transactions: Mathematical, Physical and Engineering Sciences, 1999 Mar . 357(1752), 471-491.
Externí odkaz:
https://www.jstor.org/stable/55123