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The gravitational dipole and explicit multipole moments of static axisymmetric spacetimes

Magnus Herberthson

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The multipole moments of static axisymmetric asymptotically flat spacetimes are considered. The usual set of recursively defined tensors is replaced with one real-valued function m defined on R+ bigcup {0}, where the moments are given by the derivatives of m at 0. As examples of applications, we show that the Schwarzschild spacetime is the gravitational monopole and derive the metric for the gravitational dipole.


PACS

04.20.-q Classical general relativity

MSC

83Cxx General relativity

Subjects

Gravitation and cosmology

Dates

Issue 22 (21 November 2004)

Received 18 June 2004

Published 26 October 2004



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