Massive Photon and Dark Energy

Abstract

We investigate cosmology of massive electrodynamics and explore the possibility whether massive photon could provide an explanation of the dark energy. The action is given by the scalar-vector-tensor theory of gravity which is obtained by non-minimal coupling of the massive Stueckelberg QED with gravity and its cosmological consequences are studied by paying a particular attention to the role of photon mass. We find that the theory allows cosmological evolution where the radiation- and matter-dominated epochs are followed by a long period of virtually constant dark energy that closely mimics $\Lambda$CDM model and the main source of the current acceleration is provided by the nonvanishing photon mass governed by the relation $\Lambda \sim m^2$. A detailed numerical analysis shows that the nonvanishing photon mass of the order of $\sim 10^{-34}$ eV is consistent with the current observations. This magnitude is far less than the most stringent limit on the photon mass available so far, which is of the order of $m\le 10^{-27}$eV.

28 pages, 14 figures, Revised version, accepted for publication in PRD

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• Combined Limit on the Photon Mass with Nine Localized Fast Radio Bursts
• Constraints on interacting dark energy revisited: implications for the Hubble tension
• Reduced Order Podolsky Model
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• Testing the Ampère-Maxwell law on the photon mass and Lorentz-Poincaré symmetry violation with MMS multi-spacecraft data
• Hamiltonian Formalism of Topologically Massive Electrodynamics
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• Revisiting the Abelian $N=1$ super Stueckelberg model
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• A Unique Mathematical Derivation of the Fundamental Laws of Nature Based on a New Algebraic-Axiomatic (Matrix) Approach