Andrzej Trautman
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View article: Gravitational waves
Gravitational waves Open
Historical remarks on early theoretical work on the subject. Very early on, Einstein introduced the notion of gravitational waves, but later became convinced that they did not exist as a physical phenomenon. Exact solutions of Einstein's e…
View article: Radiation and Boundary Conditions in the Theory of Gravitation
Radiation and Boundary Conditions in the Theory of Gravitation Open
The Sommerfeld boundary conditions, applied to an asymptotically weak gravitational field, are shown to imply that the 1/r part of the curvature tensor of a space-time, satisfying the Einstein equations, is of type null in the Petrov class…
View article: Boundary Conditions at Infinity for Physical Theories
Boundary Conditions at Infinity for Physical Theories Open
The Sommerfeld boundary conditions, imposed on hyperbolic differential equations to obtain solutions in the form of outgoing waves, are formulated here so as to make explicit the role of an appropriate null vector field. When applied to th…