[1805.03936] Cosmological Implications of Affine Gravity Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search General Relativity and Quantum Cosmology arXiv:1805.03936 (gr-qc) [Submitted on 10 May 2018 ( v1 ), last revised 25 Apr 2026 (this version, v2)] Title: Cosmological Implications of Affine Gravity Authors: Hemza Azri View a PDF of the paper titled Cosmological Implications of Affine Gravity, by Hemza Azri View PDF HTML (experimental) Abstract: The main aim of this thesis is to reveal some interesting aspects of the purely affine theory of gravity and its cosmological implication. A particular attention will be devoted to its consequences when applied to cosmological inflation. Primarily, affine spacetime, composed of geodesics with no notion of length and angle, accommodates gravity but not matter. The thesis study is expected to reveal salient properties of matter dynamics in affine spacetime and may reveal an intimate connection between vacuum state and metrical gravity. An interesting application of the framework is the inflationary regime, where it is shown that affine gravity prefers only a unique metric tensor such that the transition from nonminimal to minimal coupling of the inflaton is performed only via redefinition of the latter. This allows us to avoid the use of the so called conformal frames. In fact, unlike metric gravity, the metric tensor in affine gravity is generated and not postulated a priori, thus this tensor is absent in the actions and conformal transformation does not make sense. Last but not least, we try to show how metric gravity can be induced through a simple structure that contains only affine connection and scalar fields. General relativity arises classically only at the vacuum, and this view of gravity may be considered as a new way to inducing metric elasticity of space, not through quantum corrections as in standard induced gravity, but only classically. The thesis is concluded by analyzing affine gravity in a particular higher-dimensional manifold (product of two spaces) in an attempt to understand both, the cosmological constant and matter dynamically. Comments: typos corrected, Ph.D thesis; 109 pages; 18 figures; 3 tables Subjects: General Relativity and Quantum Cosmology (gr-qc) ; High Energy Astrophysical Phenomena (astro-ph.HE); High Energy Physics - Phenomenology (hep-ph); High Energy Physics - Theory (hep-th) Cite as: arXiv:1805.03936 [gr-qc] (or arXiv:1805.03936v2 [gr-qc] for this version) https://doi.org/10.48550/arXiv.1805.03936 Focus to learn more arXiv-issued DOI via DataCite Submission history From: Hemza Azri [ view email ] [v1] Thu, 10 May 2018 12:26:45 UTC (1,705 KB) [v2] Sat, 25 Apr 2026 09:19:05 UTC (873 KB) Full-text links: Access Paper: View a PDF of the paper titled Cosmological Implications of Affine Gravity, by Hemza Azri View PDF HTML (experimental) TeX Source view license Current browse context: gr-qc < prev | next > new | recent | 2018-05 Change to browse by: astro-ph astro-ph.HE hep-ph hep-th References & Citations INSPIRE HEP NASA ADS Google Scholar Semantic Scholar export BibTeX citation Loading... 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