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The definition of energy and enegry flux of a cylindrical symmetric system in general relativity is given by Kip Throne in Phys. Rev. 138, B251 and generalized by Chandrasekhar in Proc. Roy. Soc. Lond. A 408, 209 (1986) for non-diagonal case so called C-energy and C-enegry flux.

My question is whether this derivation of enegry could be generalized to define the (conserved) angular monmentum of a infinitely Long, cylindrically symmetric systems in general relativity ?

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  • $\begingroup$ Have a look at this paper: by H. Bondi, “The angular momentum of cylindrical systems in general relativity”, doi.org/10.1098/rspa.1994.0091 $\endgroup$
    – A.V.S.
    Jul 10, 2019 at 18:59
  • $\begingroup$ @A.V.S. Thank you！But I have a little question to it. In this paper Bondi start his calculation with Weyl-Papapetrou form of the metric. However, this form Bondi use in the paper is slightly different form other reference. So what is the coordinate transformation to make them coincident？ $\endgroup$
    – jacktang1996
    Jul 11, 2019 at 0:55

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