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- W123927488 abstract "We examine Fierz and Pauli’s work in 1939 of adding a mass term to the Lagrangian for linearized gravity with the form − 2 m(hμνh μν +λh) where hμν is a small perturbation away from flat spacetime and showing that the only value for λ which gives a ghost-free theory with the correct five degrees of freedom expected for a massive spin2 particle such as the graviton is λ = −1 [1]. We start by rederiving the Lagrangian formulation for classical electrodynamics and giving examples of a ghost. Then we solve the linearized massless gravity equations to show their two degrees of freedom. We perform a Hamiltonian analysis for massless linearized gravity. Then we add the mass term to the Lagrangian, resolve the equations, find five degrees of freedom, and then perform a Hamiltonian analysis for massive gravity. We use the equations of motion and the Hamiltonian to show that λ = −1 is the only value for λ which gives a physical, ghost-free theory." @default.
- W123927488 created "2016-06-24" @default.
- W123927488 creator A5035488996 @default.
- W123927488 date "2013-01-01" @default.
- W123927488 modified "2023-09-27" @default.
- W123927488 title "Massive Gravity Theories" @default.
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- W123927488 hasPublicationYear "2013" @default.
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