English

Induced Affine Inflation

General Relativity and Quantum Cosmology 2018-02-23 v2 High Energy Astrophysical Phenomena High Energy Physics - Phenomenology High Energy Physics - Theory

Abstract

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.

Keywords

Cite

@article{arxiv.1802.00590,
  title  = {Induced Affine Inflation},
  author = {Hemza Azri and Durmus Demir},
  journal= {arXiv preprint arXiv:1802.00590},
  year   = {2018}
}

Comments

7 pages, 1 table and 3 figures, matches the published version

R2 v1 2026-06-23T00:08:26.950Z