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References: Category:Bitruncated tilings

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	~~{{technical\|date=October 2013}}~~		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).<br><br>Check out my homepage [https://pumpbuddy.us/toughsynergy3181/note/AFAC1yEqT8eAKVgHwp1qZQ herpes symptoms throat pictures]

	~~{{general relativity}}~~

	~~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]].~~

	~~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>

	~~:<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>~~

	~~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.

	~~==See also==~~

	*[[Introduction to the mathematics of general relativity]]
	*[[Stress–energy tensor]]
	*[[Metric tensor (general relativity)]]
	*[[Relativistic angular momentum]]

	~~==References==~~

	~~{{reflist}}~~

	~~===Selected papers===~~

	*{{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}}

	*{{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}}

	*{{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}}

	*{{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}}

	~~===Selected books===~~

	*{{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}}

	*{{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}}

	*{{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}}

	*{{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}}

	~~{{DEFAULTSORT:Weyl-Lewis-Papapetrou coordinates}}~~
	~~[[Category:Metric tensors]]~~
	~~[[Category:Spacetime]]~~
	~~[[Category:Coordinate charts in general relativity]]~~
	~~[[Category:General relativity]]~~
	~~[[Category:Gravitation]~~]


	~~{{relativity-stub}}~~

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{{technical|date=October 2013}}

{{general relativity}}

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]], and [[Achilles Papapetrou]].

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>

:<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>

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.

==See also==

*[[Introduction to the mathematics of general relativity]]
*[[Stress–energy tensor]]
*[[Metric tensor (general relativity)]]
*[[Relativistic angular momentum]]

==References==

{{reflist}}

===Selected papers===

*{{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}}

*{{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}}

*{{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}}

*{{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}}

===Selected books===

*{{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}}

*{{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}}

*{{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}}

*{{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}}

{{DEFAULTSORT:Weyl-Lewis-Papapetrou coordinates}}
[[Category:Metric tensors]]
[[Category:Spacetime]]
[[Category:Coordinate charts in general relativity]]
[[Category:General relativity]]
[[Category:Gravitation]]

{{relativity-stub}}