An Exact Solution of 4D Higher-Spin Gauge Theory

Details An Exact Solution of 4D Higher-Spin Gauge Theory An Exact Solution of 4D Higher-Spin Gauge Theory

2005-08-22

arxiv.org/abs/hep-th/0508158v3

Nucl.Phys. B762 (2007) 1-37

Physics

High Energy Physics

High Energy Physics - Theory

47 pages. v3: global properties of the solution clarified, minor corrections made, discussion and refs revised

Scientific paper

10.1016/j.nuclphysb.2006.06.038

We give a one-parameter family of exact solutions to four-dimensional higher-spin gauge theory invariant under a deformed higher-spin extension of SO(3,1) and parameterized by a zero-form invariant. All higher-spin gauge fields vanish, while the metric interpolates between two asymptotically AdS4 regions via a dS3-foliated domainwall and two H3-foliated Robertson-Walker spacetimes -- one in the future and one in the past -- with the scalar field playing the role of foliation parameter. All Weyl tensors vanish, including that of spin two. We furthermore discuss methods for constructing solutions, including deformation of solutions to pure AdS gravity, the gauge-function approach, the perturbative treatment of (pseudo-)singular initial data describing isometric or otherwise projected solutions, and zero-form invariants.

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