Induced Affine Inflation

Understand

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.