### Abstract

Points out a discrepancy in the proof of the uniqueness theorem for axionic black holes that was provided by Bowick and co-workers in 1988, and gives a more appropriate proof. The author solves directly the field equations of the theory in which gravity is coupled to a Kalb-Ramond field and proceed to prove that, under spherical symmetry, the unique static asymptotically flat solution is the Schwarzschild black hole, which has vanishing axion field but non-vanishing potential.

Original language | English |
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Article number | 021 |

Pages (from-to) | 779-785 |

Number of pages | 7 |

Journal | Classical and Quantum Gravity |

Volume | 8 |

Issue number | 4 |

DOIs | |

Publication status | Published - 1991 Dec 1 |

### All Science Journal Classification (ASJC) codes

- Physics and Astronomy (miscellaneous)

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## Cite this

Hsu, R. R. (1991). A proof of the uniqueness theorem for axionic black holes.

*Classical and Quantum Gravity*,*8*(4), 779-785. [021]. https://doi.org/10.1088/0264-9381/8/4/021