https://doi.org/10.1140/epjp/s13360-024-05340-7
Regular Article
Constraint analysis of Fierz–Pauli action through linearization of its nonlinear action constraints
Department of Physics, Isfahan University of Technology, Isfahan, Iran
Received:
7
May
2024
Accepted:
3
June
2024
Published online:
23
June
2024
In this research, by linearizing the constraints of massive gravity action, we obtain the constraints of Fierz–Pauli action and compare it with the constraints obtained from Hamiltonian analysis. We claim that the linearized form of gravity is the same as the Fierz–Pauli action. Its constraints are the linearized form of nonlinear action constraints. We will also compare about bigravity. Also, by linearizing the generating functional and gauge transformations of the Hilbert–Einstein action, we reach their linearized massless Fierz–Pauli form.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
