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In three dimensions, there exist modifications of Einstein's gravity akin to the topologically massive gravity that describe massive gravitons about maximally symmetric backgrounds.
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J. Maldacena, “Einstein Gravity from Conformal Gravity,” arXiv:1105.5632 [hep-th]
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E. Altas and B. Tekin, “Linearization instability for generic gravity in AdS spacetime,” Phys. Rev. D 97
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E. Altas and B. Tekin, “Linearization Instability of Chiral Gravity,” Phys. Rev. D 97
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M. Ozkan, Y. Pang and P. K. Townsend, “Exotic Massive 3D Gravity,” JHEP 1808
2018
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M. Chernicoff, G. Giribet, N. Grandi and J. Oliva, “Vacua of Exotic Massive 3D Gravity,” JHEP 1808
2018
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