{"arxiv_id":"2001.05010","title":"Displaced orbits and electric-magnetic black hole binaries","abstract":"In presence of magnetic fields, the orbits of charged particles can be displaced from the equatorial plane. We study circular orbits of electrically charged massive objects around a magnetic black hole in the probe approximation. We show that there exist a one-parameter family of circular orbits at constant polar angle $\\theta $ and constant radius $r$, parameterized by the angular momentum. The angle $\\theta $ can be made arbitrarily small by increasing the charge-to-mass ratio of the orbiting particle, but when this is a Reissner-Nordstr\\\" om black hole, the condition $q\\leq m$ implies that orbits exist only for $|\\theta-\\frac{\\pi}{2}|<\n  {\\rm arccot}(2\\sqrt{2})$. We show that the circular orbits are stable under small perturbations in the $\\theta $ and $r$ directions. We also discuss the Newtonian approximation and a binary system of electric and magnetic black holes, each one describing a circular orbit with no central force.","primary_cat":"gr-qc","cross_cats":["hep-th"],"submitted_at":"2020-01-14T19:11:51+00:00","latest_version":3,"source":"arxiv","source_label":"arXiv","source_url":null,"has_pdf":true,"has_source":false,"verdict":null,"confidence":null,"one_line_summary":null,"novelty_score":null,"correctness_risk":null,"formal_verification":null,"upvotes":0,"downvotes":0,"pith_score":0,"inbound_count":1,"_links":{"html":"https://pith.science/paper/2001.05010","verdict":"/api/v1/verdicts/2001.05010"}}