Abstract
We establish the regularity of Ernst's generalized C-metric, thus reinforcing his interpretation of it as a pair of black holes being accelerated in an external gravitational field.
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References
Kinnersley, William, and Walker, Martin, Phys. Rev. D2, 1359 (1970).
Ernst, Frederick, J., J. Math. Phys. 19, 1986 (1978).
Hogan, Peter A., Equations of Motion in Linearized Gravity: External Fields, preprint, Dublin Inst. for Adv. Studies (1979).
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Dray, T., Walker, M. On the regularity of Ernst's generalized C-metric. Lett Math Phys 4, 15–18 (1980). https://doi.org/10.1007/BF00419798
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DOI: https://doi.org/10.1007/BF00419798