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

Ioannis D. Gialamas*

Kyriakos Tamvakis†

  • *Contact author: ioannis.gialamas@kbfi.ee
  • †Contact author: tamvakis@uoi.gr
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Phys. Rev. D 112, 084051 – Published 17 October, 2025

DOI: https://doi.org/10.1103/hwht-srsz

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 nonvanishing expectation value through radiative corrections. The spectrum of the model, apart from the massless standard graviton and a pair of axionlike pseudoscalars, associated with the presence of the Holst invariants in the action, includes an additional spin-2 state of a nonvanishing 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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Phys. Rev. D 112, 084051– Published 17 October, 2025
  • Received 29 July 2025
  • Accepted 1 October 2025
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