Is Papapetrou line element the same as cylindrical coordinates?

[Saeide]

Hi all,

Papapetrou line element describes an axial symmetric stationary spacetimes and the coordinates that appear in this metric are just similar to cylindrical coordinates; I mean they are labeled ρ, z and phi. I want to know if they are really the cylindrical coordinate or not; In other words, are their transformation to spherical or cartesian coordinates the same as what we have in the literature?

So thanks in advance,

Saeide

 

[Bill_K]

Saeide, The spacetime is curved, so I don't understand what you mean by "really" the cylindrical coordinates. At large distances where the spacetime becomes flat they tend to the usual Euclidean cylindrical coordinates.

 

[Saeide]

Yes you're right. I forgot about the flat space limit.