Planar solutions of higher-spin theory. Part I. Free field level
V. E. Didenko, A. V. Korybut
Abstract
A bstract 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 AdS 4 we find its free field higher- spin generalization that respects static and planar symmetry for all bosonic gauge fields s ≥ 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.
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GeneralizationMathematical physicsGauge theoryPhysicsPlanarGeneral relativitySpin (aerodynamics)Gauge (firearms)Symmetry (geometry)Theoretical physicsField (mathematics)Black hole (networking)MathematicsGeometryPure mathematicsMathematical analysisEngineeringComputer scienceElectronic engineeringLink-state routing protocolRouting (electronic design automation)Routing protocolArchaeologyThermodynamicsHistoryComputer graphics (images)Black Holes and Theoretical PhysicsCosmology and Gravitation TheoriesNoncommutative and Quantum Gravity Theories