Rainich conditions
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Rainich conditions
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WebbIn 1925, George Yuri Rainich presented purely mathematical conditions which are both necessary and sufficient for a Lorentzian manifold to admit an interpretation in general relativity as a non-null electrovacuum. These comprise three algebraic conditions and one differential condition. WebbThe weather is very nice in autumn. En Canadá, el invierno es bastante frío. In Canada, the winter is quite cold. Take Note: When it comes to describing people or things, the verb …
Webb1 mars 1990 · The structure equations for the bitorsion inherent in the biframe bundle lead to a generalization of Rainich's algebraic conditions for electromagnetic-type stress tensors which includes... WebbTensor[RainichElectromagneticField] - from a given metric satisfying the Rainich conditions, calculate an electromagnetic field which solves the Einstein-Maxwell equations Calling Sequences RainichElectromagneticField( g , RainichElectromagneticField(...
WebbThe Rainich conditions apply only to those metrics for which the Ricci tensor is non-null, that is, There are 2 algebraic Rainich conditions and 1 differential condition C1: C2: C3: … Webb15 juni 2005 · We present a study of Rainich-like conditions for symmetric and trace-free tensors T. For arbitrary even rank we find a necessary and sufficient differential condition for a tensor to satisfy the source-free field equation.
WebbIn the literature, the algebraic Rainich conditions are obtained using special methods such as spinors, duality rotations, an eigenvalue problem for certain 4×4 matrices or
Webb31 okt. 2024 · The (generalized) Rainich conditions are algebraic conditions which are polynomial in the (mixed-component) stress–energy tensor. As such they are logically … the history of smaw weldingWebb18 jan. 2016 · As it is known, in 1925 Rainich published necessary and sufficient conditions to be satisfied by the Ricci tensor, in order to correspond via Einstein's … the history of smoking acedmicWebb16 jan. 2024 · Similarly the Rainich conditions [22, 23], and related Rainich classification of stress–energy tensors [24–26], are only trivially modified by an overall shift in the Lorentz-invariant eigenvalues, leaving the eigenvectors invariant. Further afield, the null energy condition (NEC) is never affected by the Rastall redefinition process. the history of smartphonesWebbWe present a study of Rainich-like conditions for symmetric and trace-free tensors T. For arbitrary even rank we find a necessary and sufficient differential condition for a tensor to satisfy the source-free field equation. For rank 4, in a generic case, we combine these conditions with previously obtained algebraic conditions to gain a complete set of … the history of slavery throughout the worldWebbIn 1925, George Yuri Rainich presented purely mathematical conditions which are both necessary and sufficient for a Lorentzian manifold to admit an interpretation in general … the history of sliced breadWebbMorgan of Glencoe. Morgan of Glencoe à l'occasion d'un partenariat avec le Comptoir Irlandais, en 2024. Morgan of Glencoe, née en 1988 et originaire du Pays de Porhoët 1 en Bretagne, est une autrice 2, compositrice, harpeuse 3, chanteuse 4, conteuse 5 et streameuse 6 française 7 . the history of sloveniaWebbAbstract The algebraic Rainich conditions for neutrino fields are obtained in terms of an algebraic classification of symmetric second-rank tensors. The differential Rainich conditions are also obtained for ail but one class of neutrino fields. the history of sneaker culture