2018/02/21 by Hemza Azri, Hemza Azrı, D. Demir +1 · 3 citations
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Affine transformation #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Einstein #Geometry #Gravitation #Inflation (cosmology) #Mathematical physics #Mathematics #Physics #Quantum gravity #Quantum mechanics #Scalar field #Semiclassical gravity #Theoretical physics #astro-ph.HE #f(R) gravity #gr-qc #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.97.044025
published as Phys. Rev. D 97 (2018), 044025 · 7 pages, 1 table and 3 figures, matches the published version
openalex publication_date 2018/02/21 · arxiv created 2018/02/22 · arxiv updated 2018/02/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Induced gravity, metrical gravity in which gravitational constant arises from vacuum expectation value of a heavy scalar, is known to suffer from Jordan frame vs Einstein frame ambiguity, especially in inflationary dynamics. Induced gravity in affine geometry, as we show here, leads to an emergent metric and gravity scale, with no Einstein-Jordan ambiguity. While gravity is induced by the vacuum expectation value of the scalar field, nonzero vacuum energy facilitates generation of the metric. Our analysis shows that induced gravity results in a relatively large tensor-to-scalar ratio in both metrical and affine gravity setups. However, the fact remains that the induced affine gravity provides an ambiguity-free framework.