Comments on scalar-tensor representation of nonlocally corrected gravity
N. A. Koshelev

TL;DR
This paper examines the scalar-tensor form of nonlocally corrected gravity, revealing that it is not fully equivalent to the original theory through specific vacuum solutions.
Contribution
It demonstrates the nonequivalence of the original nonlocal gravity theory and its scalar-tensor representation using particular solutions.
Findings
Special vacuum solutions show nonequivalence
Scalar-tensor representation does not fully capture the original theory
Highlights limitations of scalar-tensor approach for nonlocal gravity
Abstract
The scalar-tensor representation of nonlocally corrected gravity is considered. Some special solutions of the vacuum background equations were obtained that indicate to the nonequivalence of the initial theory and its scalar-tensor representation.
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