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https://doi.org/10.1007/978-3-319-64537-7_16
https://arxiv.org/abs/1705.06294

has been cited by the following article:

• TITLE: Widened Rn General Relativity

  AUTHORS: Alberto Strumia

  KEYWORDS: General Relativity, Cosmological Constant, Dark Energy, Dark Matter

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.10 No.5, May 11, 2022

  ABSTRACT: An extension of General Relativity is presented based on a scalar Lagrangian density which is a general function of all the independent invariant scalars that one is able to build by the powers of the Ricci tensor. It is shown how the new terms arising in the generalized Einstein filed equations may be interpreted as dark matter and dark energy contributions. Metricity condition fulfilled by a new tensor different than the usual metric tensor is also obtained. Moreover, it is shown that Schwarzschild-De Sitter, Robertson-Walker-De Sitter and Kerr-De Sitter metrics are exact solutions to the new field equations. Remarkably, the form of the equation of the geodesic trajectories of particle motions across space-time remains the same as in Einstein General Relativity unless the cosmological constant Lambda is no longer a constant becoming a function of the space-time co-ordinates.