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- W4300193071 abstract "The Einstein-Maxwell fields of rotating stationary sources are represented by the SU(2,1) spinor potential $Psi_A$ satisfying [ nabla cdot [Theta ^{-1}(Psi_Anabla Psi_B-Psi_Bnabla Psi_A)]=-2Theta ^{-2}vec{C}cdot (Psi_Anabla Psi_B-Psi_Bnabla Psi_A) ] where $Theta =Psi ^{dagger }cdot Psi $ is the SU(2,1) norm of $Psi $% . The Ernst potentials are expressed in terms of the spinor potential by $% {cal E}=frac{Psi_1-Psi _2}{Psi_1+Psi_2}$, $Phi =frac{Psi_3}{% Psi_1+Psi_2}$ . The group invariant vector $vec{C}=-2ifunc{Im}{Psi ^{dagger}cdot nabla Psi }$ is generated exclusively by the rotation of the source, hence it is appropriate to refer to $vec{C}$ as the {em swirl} of the field. Static fields have no swirl. The fields with no swirl are a class generalizing the equilibrium ($| e| =m$) class of Einstein-Maxwell fields. We obtain the integrability conditions and a highly symmetrical set of field equations for this class, as well as exact solutions and an open research problem." @default.
- W4300193071 created "2022-10-03" @default.
- W4300193071 creator A5056936956 @default.
- W4300193071 date "2000-03-28" @default.
- W4300193071 modified "2023-09-28" @default.
- W4300193071 title "A Class of Einstein-Maxwell Fields Generalizing the Equilibrium Solutions" @default.
- W4300193071 doi "https://doi.org/10.48550/arxiv.gr-qc/0003102" @default.
- W4300193071 hasPublicationYear "2000" @default.
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