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arXiv · 2503.16598

Dynamically induced spin-2 mass in a Weyl-invariant framework

Ioannis D. Gialamas·Kyriakos Tamvakis
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Abstract

We combine the ghost-free bimetric theory of gravity with the concept of local Weyl invariance, realized in the framework of Einstein-Cartan gravity. The gravitational sector, characterized by two independent metrics and two independent connections, is coupled to a scalar field that can in principle develop a non-vanishing expectation value through radiative corrections. The spectrum of the model, apart from the massless standard graviton and a pair of axion-like pseudoscalars, associated with the presence of the Holst invariants in the action, includes an additional spin-$2$ state of a non-vanishing Fierz-Pauli mass proportional to the scalar field vacuum expectation value. We analyze the phenomenology of the model and specify the conditions under which the massive spin-$2$ state could be a primary dark matter candidate.

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Ioannis D. Gialamas, Kyriakos Tamvakis. 2025-10-17. Dynamically induced spin-2 mass in a Weyl-invariant framework. https://doi.org/10.1103/hwht-srsz

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