Anti-de-Sitter regular electric multipoles: Towards Einstein–Maxwell-AdS solitons

  title={Anti-de-Sitter regular electric multipoles: Towards Einstein–Maxwell-AdS solitons},
  author={C. Herdeiro and E. Radu},
  journal={Physics Letters B},
  • C. Herdeiro, E. Radu
  • Published 2015
  • Physics
  • Physics Letters B
  • Abstract We discuss electrostatics in Anti-de-Sitter ( AdS ) spacetime, in global coordinates. We observe that the multipolar expansion has two crucial differences to that in Minkowski spacetime. First, there are everywhere regular solutions, with finite energy, for every multipole moment except for the monopole. Second, all multipole moments decay with the same inverse power of the areal radius, 1 / r , as spatial infinity is approached. The first observation suggests there may be regular… CONTINUE READING
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