Spontaneous Lorentz Breaking, Nambu-Goldstone Modes, and Gravity

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In general relativity, masslessness of gravitons can be traced to symmetry under diffeomorphisms. However, another elegant possibility exists: masslessness can instead arise from spontaneous violation of local Lorentz invariance. We construct the corresponding theory of gravity. It reproduces the Einstein-Hilbert action of general relativity at low energies and temperatures. We discuss its merits and implications.

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