A new synthesis of matter and gravity: A nongravitating scalar field
Inyong Cho, Hyeong-Chan Kim

TL;DR
This paper introduces a novel scalar-field solution in Eddington-inspired Born-Infeld gravity that does not produce gravitational effects, highlighting unique nonlinear interactions between matter and gravity.
Contribution
It presents the first known nongravitating dynamical scalar-field solution in a modified gravity theory, expanding understanding of gravity-matter interactions.
Findings
Discovered a nongravitating scalar-field solution in Eddington-inspired Born-Infeld gravity.
The solution is unstable under perturbations.
This solution is absent in general relativity and other modified theories.
Abstract
We present a new manifestation of the nonlinearity of the gravity-matter interactions. We show explicitly that there exists a nongravitating dynamical scalar-field solution in Eddington-inspired Born-Infeld gravity. This kind of solution has not been found in previous literatures based on general relativity, or other modified-gravity theories. The nongravitating solution obtained in this work is unstable to perturbations.
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