Abstract
Given the news function\(\dot \sigma \) of a radiating space-time describing an isolated source, one can construct two physically important functions on the infinite celestial sphere surrounding the source:
The first describes the energy flux of radiation through the sphere and is the dominant function for high-frequency radiation. The second function contains information about the very low-frequency radiation and dominates at such frequencies. The physical effects of this function are investigated, and it is shown that, even for an arbitrarily small energy flux, it can cause a finite amount of geodesic deviation in the radiation zone. An explicit formula for this deviation is obtained in the case of a bifurcating star in the low-frequency approximation where the energy flux can be neglected.
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References
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Ludvigsen, M. Geodesic deviation at null infinity and the physical effects of very long wave gravitational radiation. Gen Relat Gravit 21, 1205–1212 (1989). https://doi.org/10.1007/BF00763308
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DOI: https://doi.org/10.1007/BF00763308