Photon frequency shift in curvature based Extended Theories of Gravity

TL;DR

This paper investigates how photon frequencies are affected by rotating gravitational sources within extended gravity theories, proposing experimental tests using Earth, satellites, and the Moon to constrain these theories.

Contribution

It introduces a perturbative method to relate photon frequency shifts to parameters of extended gravity theories in a weak-field regime.

Findings

Derived a general relation to constrain gravity theory parameters

Proposed the Moon as a potential laboratory for testing gravity theories

Analyzed photon exchange between Earth and satellites in extended gravity contexts

Abstract

We study the frequency shift of photons generated by rotating gravitational sources in the framework of curvature based Extended Theories of Gravity. The discussion is developed considering the weak-field approximation. Following a perturbative approach, we analyze the process of exchanging photons between Earth and a given satellite, and we find a general relation to constrain the free parameters of gravitational theories. Finally, we suggest the Moon as a possible laboratory to test theories of gravity by future experiments which can be, in principle, based also on other Solar System bodies.