Energy and Momentum in General Relativity. II. The Total Energy and Momentum of an Isolated Axi-Symmetric System Generating Gravitational Waves

Details Energy and Momentum in General Relativity. II. The Total Energy and Momentum of an Isolated Axi-Symmetric System Generating Gravitational Waves Energy and Momentum in General Relativity. II. The Total Energy and Momentum of an Isolated Axi-Symmetric System Generating Gravitational Waves

Nov 1964

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1964rspsa.282..372c&link_type=abstract

Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Volume 282, Issue 1390, pp. 372-379

Physics

2

Scientific paper

In the preceding paper the author has developed a theory in which the components of the total 4-momentum of a system are given in terms of four invariant integrals. The theory is applied to the axi-symmetric solution of the general relativity field equations for an isolated system generating gravitational waves obtained by Bondi, van der Burg & Metzner. It is shown that the total energy of the system agrees exactly with the definition of mass adopted by these authors. An expression is obtained for the total momentum along the axis of symmetry. A Schwarzschild system in uniform motion is considered as an example of non-radiative motion.

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