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Scalar lumps with a horizon

George Lavrelashvili1,2,*, Jean-Luc Lehners2,†, and Marc Schneider2,‡

  • 1Department of Theoretical Physics, A.Razmadze Mathematical Institute at I.Javakhishvili Tbilisi State University, GE-0177 Tbilisi, Georgia
  • 2Max Planck Institute for Gravitational Physics (Albert Einstein Institute), 14476 Potsdam-Golm, Germany

  • *george.lavrelashvili@tsu.ge
  • †jlehners@aei.mpg.de
  • ‡marc.schneider@aei.mpg.de
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Phys. Rev. D 104, 044007 – Published 3 August, 2021

DOI: https://doi.org/10.1103/PhysRevD.104.044007

Abstract

We study a self-interacting scalar field theory coupled to gravity and are interested in spherically symmetric solutions with a regular origin surrounded by a horizon. For a scalar potential containing a barrier, and using the most general spherically symmetric ansatz, we show that in addition to the known static, oscillating solutions discussed earlier in the literature there exist new classes of solutions which appear in the strong field case. For these solutions the spatial sphere shrinks either beyond the horizon, implying a collapsing universe outside of the cosmological horizon, or it shrinks already inside of the horizon, implying the existence of a black hole surrounding the scalar lump in all directions. Crucial for the existence of all such solutions is the presence of a scalar field potential with a barrier that satisfies the swampland conjectures.

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Phys. Rev. D 104, 044007– Published 3 August, 2021
  • Received 5 May 2021
  • Accepted 2 July 2021
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