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Recently Horava proposed a non-relativistic renormalisable theory of gravitation, which reduces to Einstein's general relativity at large distances, and that may provide a candidate for a UV completion of Einstein's theory.
R.L. Arnowitt, S. Deser and C.W. Misner, The dynamics of general relativity,
1962
Earlier work this paper cites.
S. Deser, R. Jackiw and S. Templeton, Topologically massive gauge theories,
2000
Cited alongside, same era.
P. Hořava, Quantum gravity at a Lifshitz point
Cited in the paper.
G. Calcagni, Cosmology of the Lifshitz universe,
Cited in the paper.
E. Kiritsis and G. Kofinas, Hořava-Lifshitz cosmology,
Cited in the paper.
Cited in the paper.
P. Hořava, Membranes at quantum criticality,
2009
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