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Journal Article

The Bondi-Sachs Formalism

MPS-Authors

Winicour,  Jeffrey
AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1609.01731.pdf
(Preprint), 696KB

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Citation

Mädler, T., & Winicour, J. (2016). The Bondi-Sachs Formalism. Scholarpedia, 11(12): 33528. doi:10.4249/scholarpedia.33528.


Cite as: https://hdl.handle.net/11858/00-001M-0000-002B-6140-E
Abstract
The Bondi-Sachs formalism of General Relativity is a metric-based treatment of the Einstein equations in which the coordinates are adapted to the null geodesics of the spacetime. It provided the first convincing evidence that gravitational radiation is a nonlinear effect of general relativity and that the emission of gravitational waves from an isolated system is accompanied by a mass loss from the system. The asymptotic behaviour of the Bondi-Sachs metric revealed the existence of the symmetry group at null infinity, the Bondi-Metzner-Sachs group, which turned out to be larger than the Poincare group.