Complexity of the Bondi metric

Abstract

A recently introduced concept of complexity for relativistic fluids is extended to the vacuum solutions represented by the Bondi metric. A complexity hierarchy is established, ranging from the Minkowski spacetime (the simplest one) to gravitationally radiating systems (the more complex). Particularly interesting is the possibility to differentiate between natural non--radiative (NNRS) and non--natural non--radiative (NNNRS) systems, the latter appearing to be simpler than the former. The relationship between vorticity and the degree of complexity is stressed.

arXiv comment7 pages Revtex-4. Published in Phys.Rev. D. arXiv admin note: text overlap with arXiv:gr-qc/0511112

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