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  4. Three-dimensional exotic Newtonian gravity with cosmological constant
 
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Three-dimensional exotic Newtonian gravity with cosmological constant
Dr. Concha-Aguilera, Patrick 
Facultad de Ingeniería 
Dra. Rodríguez-Durán, Evelyn 
Ravera, Lucrezia
10.1016/j.physletb.2020.135392
Elsevier
2020
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 → ∞. A three-dimensional Chern-Simons action for the exotic Newtonian algebra is presented. We show that the non-relativistic gravity theory proposed here reproduces the most general extended Newtonian gravity theory in the flat limit.
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