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Photon frequency shift in curvature based Extended Theories of Gravity

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arxiv 2102.12401 v2 pith:JTNJHIU4 submitted 2021-02-24 gr-qc astro-ph.EPhep-th

Photon frequency shift in curvature based Extended Theories of Gravity

classification gr-qc astro-ph.EPhep-th
keywords theoriesgravitycurvatureextendedfrequencygravitationalphotonsshift
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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.

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