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Weyl–Lewis–Papapetrou coordinates

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In general relativity, the Weyl–Lewis–Papapetrou coordinates are used in solutions to the vacuum region surrounding an axisymmetric distribution of mass–energy. They are named for Hermann Weyl, Thomas Lewis, and Achilles Papapetrou.[1][2][3]

Details

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The square of the line element is of the form:[4]

where are the cylindrical Weyl–Lewis–Papapetrou coordinates in -dimensional spacetime, and , , , and , are unknown functions of the spatial non-angular coordinates and only. Different authors define the functions of the coordinates differently.

See also

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References

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  1. ^ Weyl, Hermann (1917). "Zur Gravitationstheorie". Annalen der Physik (in German). 359 (18): 117–145. Bibcode:1917AnP...359..117W. doi:10.1002/andp.19173591804. ISSN 0003-3804.
  2. ^ Lewis, T. (1932). "Some special solutions of the equations of axially symmetric gravitational fields". Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character. 136 (829): 176–192. Bibcode:1932RSPSA.136..176L. doi:10.1098/rspa.1932.0073. ISSN 0950-1207.
  3. ^ Papapetrou, A. (1948). "A static solution of the equations of the gravitatinal field for an arbitrary charge-distribution". Proceedings of the Royal Irish Academy. Section A: Mathematical and Physical Sciences. 52: 191–204. JSTOR 20488481.
  4. ^ Bičák, Jiří; Semerák, O.; Podolský, Jiří; Žofka, Martin (2002). Bičák, Jiří; Semerák, O.; Podolský, J.; Žofka, M. (eds.). Gravitation, following the Prague inspiration: a volume in celebration of the 60th birthday of Jiří Bičák. River Edge, N.J: World Scientific. p. 122. ISBN 978-981-238-093-7. OCLC 51260088.

Further reading

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Selected papers

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Selected books

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