Scattering of uncharged particles in the field of two extremely charged black holes

  • Donato Bini
  • Andrea GeralicoEmail author
  • Gabriele Gionti
  • Wolfango Plastino
  • Nelson Velandia
Research Article


We investigate the motion of uncharged particles scattered by a binary system consisting of extremely charged black holes in equilibrium as described by the Majumdar–Papapetrou solution. We focus on unbound orbits confined to the plane containing both black holes. We consider the two complementary situations of particles approaching the system along a direction parallel to the axis where the black holes are displaced and orthogonal to it. We numerically compute the scattering angle as a function of the particle’s conserved energy parameter, which provides a gauge-invariant information of the scattering process. We also study the precession of a test gyroscope along such orbits and evaluate the accumulated precession angle after a full scattering, which is another gauge-invariant quantity.


Particle scattering Majumdar–Papapetrou spacetime Gyroscope precession 



We thank Prof. O. Semerák for useful discussions.


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Authors and Affiliations

  1. 1.Istituto per le Applicazioni del Calcolo “M. Picone,” CNRRomeItaly
  2. 2.INFN, Sezione di Roma TreRomeItaly
  3. 3.Specola VaticanaVatican CityVatican City State
  4. 4.Vatican Observatory Research Group Steward ObservatoryThe University of ArizonaTucsonUSA
  5. 5.INFN, Laboratori Nazionali di FrascatiFrascatiItaly
  6. 6.Department of Mathematics and PhysicsRoma Tre UniversityRomeItaly
  7. 7.Departamento de Fisica, Facultad de Ciencias PontificiaUniversidad JaverianaBogotá D. C.Colombia

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