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- W3145038186 abstract "In Minkowskian space-time in which points are labelled with rectangular Cartesian coordinates x, y, z and time t the so-called t-lines correspond to constant values of x, y, z. These world lines constitute a time-like geodesic congruence which is twist-free, shear-free and expansion-free. They play an important role in encoding in a bivector field on Minkowskian space-time the information contained in the electric and magnetic 3-vectors on three dimensional Euclidean space. A striking illustration of this is found in the study of electromagnetic radiation and the derivation of Bateman electromagnetic waves. The counterpart of the latter in the case of gravitational waves in the linear approximation using the gauge invariant and covariant approach demonstrates that the existence of the gravitational waves is due to perturbations in the shear of the t-lines." @default.
- W3145038186 created "2021-04-13" @default.
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- W3145038186 date "2021-01-01" @default.
- W3145038186 modified "2023-09-26" @default.
- W3145038186 title "Bateman Waves in the Linear Approximation" @default.
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- W3145038186 doi "https://doi.org/10.1007/978-3-030-69370-1_4" @default.
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