We investigate the (electro-)geodesic structure of the Majumdar-Papapetrou

solution representing static charged black holes in equilibrium. We assume

only two point sources, thus imparting spacetime axial symmetry. We study

electrogeodesics both on and off the equatorial plane and explore the stability

of circular trajectories via the geodesic deviation equation. In contrast to the

classical Newtonian situation, we find regions of spacetime admitting two

different angular frequencies for a given radius of the circular electrogeodesic.

We look both at the weak- and near-field limits of the solution. We use

analytic as well as numerical methods in our approach.

solution representing static charged black holes in equilibrium. We assume

only two point sources, thus imparting spacetime axial symmetry. We study

electrogeodesics both on and off the equatorial plane and explore the stability

of circular trajectories via the geodesic deviation equation. In contrast to the

classical Newtonian situation, we find regions of spacetime admitting two

different angular frequencies for a given radius of the circular electrogeodesic.

We look both at the weak- and near-field limits of the solution. We use

analytic as well as numerical methods in our approach.

typ: | article |
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journal: | Gen. Rel. Grav. |

volume: | 32 |

pages: | 205010 (15pp) |

year: | 2015 |

grant: | Centrum Alberta Einsteina pro gravitaci a astrofyziku, GAČR 14-37086G, 2014-2018 |

files: |
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cqg_32_205010.pdf (835.96 kB) |