FRW and domain walls in higher spin gravity

  • R. Aros
  • C. Iazeolla
  • J. Noreña
  • E. Sezgin
  • P. Sundell
  • Y. Yin
Open Access
Regular Article - Theoretical Physics


We present exact solutions to Vasiliev’s bosonic higher spin gravity equations in four dimensions with positive and negative cosmological constant that admit an interpretation in terms of domain walls, quasi-instantons and Friedman-Robertson-Walker (FRW) backgrounds. Their isometry algebras are infinite dimensional higher-spin extensions of spacetime isometries generated by six Killing vectors. The solutions presented are obtained by using a method of holomorphic factorization in noncommutative twistor space and gauge functions. In interpreting the solutions in terms of Fronsdal-type fields in space-time, a field-dependent higher spin transformation is required, which is implemented at leading order. To this order, the scalar field solves Klein-Gordon equation with conformal mass in (A)dS4. We interpret the FRW solution with de Sitter asymptotics in the context of inflationary cosmology and we expect that the domain wall and FRW solutions are associated with spontaneously broken scaling symmetries in their holographic description. We observe that the factorization method provides a convenient framework for setting up a perturbation theory around the exact solutions, and we propose that the nonlinear completion of particle excitations over FRW and domain wall solutions requires black hole-like states.


Cosmology of Theories beyond the SM Higher Spin Gravity Higher Spin Symmetry 


Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.


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Copyright information

© The Author(s) 2018

Authors and Affiliations

  • R. Aros
    • 1
  • C. Iazeolla
    • 2
  • J. Noreña
    • 3
  • E. Sezgin
    • 4
  • P. Sundell
    • 1
  • Y. Yin
    • 1
  1. 1.Departamento de Ciencias FísicasUniversidad Andres BelloSantiago de ChileChile
  2. 2.NSR Physics DepartmentG. Marconi UniversityRomeItaly
  3. 3.Instituto de FísicaPontificia Universidad Católica de ValparaísoValparaísoChile
  4. 4.Mitchell Institute for Fundamental Physics and AstronomyTexas A&M UniversityCollege StationU.S.A.

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