Spontaneous Lorentz violation, Nambu-Goldstone modes, and gravity

@article{Bluhm2005SpontaneousLV,
  title={Spontaneous Lorentz violation, Nambu-Goldstone modes, and gravity},
  author={Robert Bluhm and Alan Kosteleck{\'y}},
  journal={Physical Review D},
  year={2005},
  volume={71},
  pages={065008}
}
The fate of the Nambu-Goldstone modes arising from spontaneous Lorentz violation is investigated. Using the vierbein formalism, it is shown that up to 10 Lorentz and diffeomorphism Nambu-Goldstone modes can appear and that they are contained within the 10 modes of the vierbein associated with gauge degrees of freedom in a Lorentz-invariant theory. A general treatment of spontaneous local Lorentz and diffeomorphism violation is given for various spacetimes, and the fate of the Nambu-Goldstone… 
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TLDR
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