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2019

Three-dimensional exotic Newtonian gravity with cosmological constant

Concha, Patrick, Ravera, Lucrezia, Rodríguez, Evelyn

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In this work we introduce a cosmological constant in the extended Newtonian gravity theory.

To this end, we extend the exotic Newton-Hooke algebra by introducing new generators and central charges.
The new algebra obtained here has been denoted as exotic Newtonian algebra and reproduces the extended Newtonian one in the flat limit $\ell\rightarrow\infty$.
A three-dimensional Chern-Simons action for the exotic Newtonian algebra is presented.

Three-dimensional exotic Newtonian gravity with cosmological constant · Around

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During the preparation of our manuscript, it came to our knowledge an interesting work by N. Ozdemir, M. Ozkan and U. Zorba, in which the authors consider the construction of a three-dimensional extended Newton-Hooke supergravity, see arXiv:1909.10745 [hep-th]
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