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| {{technical|date=October 2013}}
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| {{general relativity}}
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| In [[general relativity]], the '''Weyl−Lewis−Papapetrou coordinates''' are a set of [[coordinates]], used in the solutions to the [[vacuum]] region surrounding an [[axisymmetric]] distribution of [[mass–energy]]. They are named for [[Hermann Weyl]], [[T. Lewis (physicist)|T. Lewis]]<!---need to confirm exactly who he is--->, and [[Achilles Papapetrou]].
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| The square of the [[line element]] is of the form:<ref>{{cite book|title=Gravitation, Following the Prague Inspiration: A Volume in Celebration of the 60th Birthday of Jiří Bičák|author=Jiří Bičák, O. Semerák, Jiří Podolský, Martin Žofka|publisher=World Scientific|page=122|year=2002|isbn=981-238-093-0|url=http://books.google.co.uk/books?id=Hen4Bb-bjgUC&pg=PA122&lpg=PA122&dq=Weyl%E2%88%92Lewis%E2%88%92Papapetrou+coordinates&source=bl&ots=XZ0DxKeYf5&sig=as5plL8kYXPotV9kpnhlG1rpEb0&hl=en&sa=X&ei=WQhuUoX8FZPwhQeknYCoCQ&ved=0CF0Q6AEwCA#v=onepage&q=Weyl%E2%88%92Lewis%E2%88%92Papapetrou%20coordinates&f=false}}</ref>
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| :<math>ds^2 = -e^{2\nu}dt^2 + \rho^2 B^2 e^{-2\nu}(d\phi - \omega dt)^2 + e^{2(\lambda - \nu)}(d\rho^2 + dz^2)</math>
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| where (''t'', ''ρ'', ''ϕ'', ''z'') are the cylindrical Weyl−Lewis−Papapetrou coordinates in 3 + 1 [[spacetime]], and ''λ'', ''ν'', ''ω'', and ''B'', are unknown functions of the spatial non-angular coordinates ''ρ'' and ''z'' only. Different authors define the functions of the coordinates differently.
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| ==See also==
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| *[[Introduction to the mathematics of general relativity]]
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| *[[Stress–energy tensor]]
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| *[[Metric tensor (general relativity)]]
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| *[[Relativistic angular momentum]]
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| ==References==
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| {{reflist}}
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| ===Selected papers===
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| *{{cite news|title= A finite rotating body in general relativity|author=J. Marek, A. Sloane|url=http://link.springer.com/article/10.1007%2FBF02743695|year=1979|pages=45–52|volume=51|issue=1|journal=Il Nuovo Cimento B Series 11}}
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| *{{cite news|title= Einstein−Maxwell fields generated from the gamma-metric and their limits|page=2|author=L. Richterek, J. Novotny, J. Horsky|url=http://arxiv.org/pdf/gr-qc/0209094.pdf|year=2002|journal=Czech.J.Phys. 52 |doi=10.1023/A:1020581415399|arxiv=gr-qc/0209094v1}}
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| *{{cite news|title=Energy-Momentum Distribution of the Weyl−Lewis−Papapetrou and the Levi-Civita Metrics|journal=Brazilian Journal of Physics|year=2007|volume=37|author=M. Sharif|url=http://www.sbfisica.org.br/bjp/files/v37_1292.pdf}}
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| *{{cite news|title=The axially symmetric stationary vacuum field equations in Einstein's theory of general relativity|page=429|journal=Aust. J. Phys|publisher=CSIRO|year=1978|volume=31|author=A. Sloane|url=http://adsabs.harvard.edu/full/1978AuJPh..31..427S}}
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| ===Selected books===
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| *{{cite book|title=Rotating Relativistic Stars|page=151|author=J. L. Friedman, N. Stergioulas|url=http://books.google.co.uk/books?id=pv8djXCCwToC&pg=PA151&dq=Weyl%E2%88%92Lewis%E2%88%92Papapetrou+coordinates&hl=en&sa=X&ei=5_1tUqz3JYa2hQf-u4D4Aw&redir_esc=y#v=onepage&q=Weyl%E2%88%92Lewis%E2%88%92Papapetrou%20coordinates&f=false|publisher=Cambridge University Press|year=2013|series=Cambridge Monographs on Mathematical Physics|isbn=052-187-254-5}}
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| *{{cite book|title=Exact Solutions and Scalar Fields in Gravity: Recent Developments |page=39|publisher=Springer|year=2001|author=A. Macías, J. L. Cervantes-Cota, C. Lämmerzahl|url=http://books.google.co.uk/books?id=imA3YuKdFYoC&pg=PA39&dq=Weyl%E2%88%92Lewis%E2%88%92Papapetrou+coordinates&hl=en&sa=X&ei=5_1tUqz3JYa2hQf-u4D4Aw&redir_esc=y#v=onepage&q=Weyl%E2%88%92Lewis%E2%88%92Papapetrou%20coordinates&f=false|isbn=030-646-618-X}}
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| *{{cite book|title=The General Theory of Relativity: A Mathematical Exposition|page=317|publisher=Springer|year=2012|author=A. Das, A. DeBenedictis|url=http://books.google.co.uk/books?id=wJR7SmPedWcC&pg=PA678&dq=Weyl%E2%88%92Lewis%E2%88%92Papapetrou+coordinates&hl=en&sa=X&ei=jABuUqzEIs-ChQfBsYHABg&ved=0CEgQ6AEwBA#v=onepage&q=Weyl%E2%88%92Lewis%E2%88%92Papapetrou%20coordinates&f=false|isbn=146-143-658-3}}
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| *{{cite book|title=General relativity: proceedings of the forty sixth Scottish Universities summer school in physics, Aberdeen, July 1995|pages=65, 73, 78|publisher=Scottish Universities Summer School in Physics|year=1996|volume=46|series=SUSSP proceedings|author=G. S. Hall, J. R. Pulham|url=http://books.google.co.uk/books?id=IfhAAQAAIAAJ&q=Weyl%E2%88%92Lewis%E2%88%92Papapetrou+coordinates&dq=Weyl%E2%88%92Lewis%E2%88%92Papapetrou+coordinates&hl=en&sa=X&ei=cQFuUuv8Gs6rhQeD5YHgCQ&ved=0CDAQ6AEwADgK|isbn=075-030-395-6}}
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| {{DEFAULTSORT:Weyl-Lewis-Papapetrou coordinates}}
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| [[Category:Metric tensors]]
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| [[Category:Spacetime]]
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| [[Category:Coordinate charts in general relativity]]
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| [[Category:General relativity]]
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| [[Category:Gravitation]]
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| {{relativity-stub}}
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29 yrs old Glazier Stewart from Regina, enjoys to spend some time playing team sports, herpes symptoms and windsurfing. that covered going to Kernave Archaeological Site (Cultural Reserve of Kernave).
Check out my homepage herpes symptoms throat pictures