Mass formulas for stationary Einstein-Yang-Mills black holes and a simple proof of two staticity theorems.

@article{Sudarsky1993MassFF,
  title={Mass formulas for stationary Einstein-Yang-Mills black holes and a simple proof of two staticity theorems.},
  author={Sudarsky and Wald},
  journal={Physical review. D, Particles and fields},
  year={1993},
  volume={47 12},
  pages={
          R5209-R5213
        }
}
We derive two new integral mass formulas for stationary black holes in Einstein-Yang-Mills theory. From these we derive a formula for JΩ-QV, from which it follows immediately that any stationary, nonrotating, uncharged black hole is static and has a vanishing electric field on the static slices. In the Einstein-Maxwell case, we have, in addition, the «generalized Smarr mass formula,» for which we provide a new, simple derivation. When combined with the other two formulas, we obtain a simple… CONTINUE READING

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