Gravity from Local Lorentz Violation

Abstract

In general relativity, gravitational waves propagate at the speed of light, and so gravitons are massless. The masslessness 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. Detectable signals occur for sensitive experiments, and potentially profound implications emerge for our theoretical understanding of gravity.

6 pages, accepted in General Relativity and Gravitation

References in corpus (3)

• Self-Interaction and Gauge Invariance
• Spontaneous Lorentz Violation, Nambu-Goldstone Modes, and Gravity
• Spontaneous Lorentz Violation and Nonpolynomial Interactions

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• Renormalizability of Yang-Mills theory with Lorentz violation and gluon mass generation
• Black holes in Einstein-aether theory: Quasinormal modes and time-domain evolution
• Cosmological birefringent constraints on light
• Lorentz-violating Yang-Mills theory: discussing the Chern-Simons-like term generation
• Emergent electrodynamics from the Nambu model for spontaneous Lorentz symmetry breaking
• Implications of Lorentz violation on Higgs-mediated lepton flavor violation
• The Goldstone Theorem in non-linear electrodynamics
• No one-loop gauge anomalies for a Lorentz-violating quantum electrodynamics: Evaluation of the three-photon vertex