## Resumen

Abstract: Stationary circularly symmetric solutions of General Relativity with negative cosmological constant coupled to the Maxwell field are analyzed in three spacetime dimensions. Taking into account that the fall-off of the fields is slower than the standard one for a localized distribution of matter, it is shown that, by virtue of a suitable choice of the electromagnetic Lagrange multiplier, the action attains a bona fide extremum provided the asymptotic form of the electromagnetic field fulfills a nontrivial integrability condition. As a consequence, the mass and the angular momentum become automatically finite, without the need of any regularization procedure, and they generically acquire contributions from the electromagnetic field. Therefore, unlike the higher-dimensional case, it is found that the precise value of the mass and the angular momentum explicitly depends on the choice of boundary conditions. It can also be seen that requiring compatibility of the boundary conditions with the Lorentz and scaling symmetries of the class of stationary solutions, singles out a very special set of “holographic boundary conditions” that is described by a single parameter. Remarkably, in stark contrast with the somewhat pathological behaviour found in the standard case, for the holographic boundary conditions (i) the energy spectrum of an electrically charged (rotating) black hole is nonnegative, and (ii) for a fixed value of the mass, the electric charge is bounded from above.

Idioma original | Inglés |
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Número de artículo | 161 |

Publicación | Journal of High Energy Physics |

Volumen | 2015 |

N.º | 10 |

DOI | |

Estado | Publicada - 2015 |

Publicado de forma externa | Sí |

### Nota bibliográfica

Publisher Copyright:© 2015, The Author(s).

## Áreas temáticas de ASJC Scopus

- Física nuclear y de alta energía

## Huella

Profundice en los temas de investigación de 'Conserved charges and black holes in the Einstein-Maxwell theory on AdS_{3}reconsidered'. En conjunto forman una huella única.