Planar solutions of higher-spin theory I: free field level

Abstract

Many black hole solutions of General Relativity are known to be linearly exact. This opens a way to study them in gauge theories that apart from gravity contain fields of higher spin $s>2$. Starting with a black brane in $Ad{S}_4$ we find its free field higher-spin generalization that respects static and planar symmetry for all bosonic gauge fields $s\ge 0$. The solution is found for both the higher-spin curvatures and potentials in the form suitable for further non-linear analysis and satisfies the multi copy relation.

32 pages, minor corrections, citations added, replaced with the journal version

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Cited by in corpus (5)

• More on Chiral Higher Spin Gravity and Convex Geometry
• Planar solutions of higher-spin theory. Nonlinear corrections
• Classical double copy and higher-spin fields
• Metaplectic representation and ordering (in)dependence in Vasiliev's higher spin gravity
• Planar solutions of higher-spin theory I: free field level