Relativity and Cosmology

    

Gravidynamics of an Affine Connection on a Minkowski Background

Authors: Iago T. S. Silva

In this paper, a post-Riemannian formalism is constructed based on a minimalistic set of modifications and suggested as the framework for a classical alternative to General Relativity (GR) which, notably, can be formulated in Minkowski spacetime. Following the purely geometrical exposition, arguments are advanced for the transport of matter and radiation, a Lagrangean quadratic in the gravitational field strengths is considered, and several of the resulting properties are analyzed in brief. Simple models are then set up to explore the astrophysical and cosmological reach of the proposed ideas, including their potential (and so far tentative) agreement with the ’classical tests’of GR. Some arguments are also presented towards quantization within the proposed formalism, and a few other issues are discussed.

Comments: 42 Pages. New version substantially revised, including the addition of an extra section and an appendix

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Submission history

[v1] 2022-04-19 01:25:53
[v2] 2023-07-30 07:06:39

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