A polynomial model of purely affine gravity
O. Castillo-Felisolaab, A. Skirzewskic
a Centro Científico Tecnológico de Valparaíso, Casilla 110-V, Valparaíso, Chile. e-mail: o.castillo.felisola@gmail.com
b Departamento de Física, Universidad Técnica Federico Santa María, Casilla 110-V, Valparaíso, Chile.
c Centro de Física Fundamental, Universidad de los Andes, 5101 Mérida, Venezuela. e-mail: askirz@gmail.com
]]>Received 17 February 2015;
accepted 24 August 2015
Abstract
We present a purely affine gravitational model in four dimensions built up entirely on the bases of full diffeomorphism invariance, and power-counting renormalizability. We show that its non-relativistic limit around a homogeneous and isotropic spacetime yields to a Newtonian gravity.
Keywords: Affine Gravity; torsion; generalised gravity.
PACS: 04.25.Nx; 04.50.Kd; 04.90.+e
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]]>Acknowledgments
We thank to J. Zanelli for fruitful discussions, and also to K. Peeters for helpful advises in the manipulation of the software Cadabra [25-27], which was used extensively to achieve the results presented in this paper. Additionally, we thank the developers of the mathematical software Sage [28], used to achieve several manipulations. This work was partially supported by CONICYT (Chile) under grant No. 79140040.
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