Abstract
We want to conclude this book considering a gravity theory without masses which can be constructed in Minkowski spaces using a geometric Minkowski potential. From the point of view of this book, this can be considered a full geometric realization of the relativistic approach. The affine space-like spheres can be seen as the regions of the Minkowski space-like vectors characterized by a constant Minkowski gravitational potential. They highlight, for each dimension \(n\ge 3\), a model of spacetime, the de Sitter one, which satisfies Einstein’s field equations in the absence of matter, and it is now intuitive why. This chapter is based on results that can be found in [16, 20, 26, 76].
Rem tene, verba sequentur.
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Boskoff, WG., Capozziello, S. (2020). A Geometric Realization of Relativity: The Affine Universe and de Sitter Spacetime. In: A Mathematical Journey to Relativity. UNITEXT for Physics. Springer, Cham. https://doi.org/10.1007/978-3-030-47894-0_10
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DOI: https://doi.org/10.1007/978-3-030-47894-0_10
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