General Stationary Metric
We also wish to give the general result for expressing the Komar mass as a surface integral.
The formula for the Komar mass in terms of the metric and its Killing vector is (Wald, 1984, pg 289, formula 11.2.9)
- where are the Levi-civita symbols
- is the Killing vector of our stationary metric, normalized so that at infinity.
The surface integral above is interpreted as the "natural" integral of a two form over a manifold.
As mentioned previously, if none of the metric coefficients are functions of time,
Read more about this topic: Komar Mass, Komar Mass As Surface Integral
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