Weyl–Lewis–Papapetrou coordinates

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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