The known ghost-free multivielbein theory is the unique ghost-free theory with genuine multi-field interactions for more than two vielbeins.
Bimetric Gravity from Ghost-free Massive Gravity
5 Pith papers cite this work, alongside 854 external citations. Polarity classification is still indexing.
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abstract
Generically, non-linear bimetric theories of gravity suffer from the same Boulware-Deser ghost instability as non-linear theories of massive gravity. However, recently proposed theories of massive gravity have been shown to be ghost-free. These theories are formulated with respect to a flat, non-dynamical reference metric. In this work we show that it is possible to give dynamics to the reference metric in such a way that the consistency of the theory is maintained. The result is a non-linear bimetric theory of a massless spin-2 field interacting with a massive spin-2 field that is free of the Boulware-Deser ghost. To our knowledge, this is the first construction of such a ghost-free bimetric theory.
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Using simulated binary black hole mergers and neutral hydrogen maps, the radio sirens method constrains H0 to 8% precision with 3000 high-SNR events, offering a 90% improvement over standard dark siren analyses.
Bimetric interactions are defined via a congruence matrix, with the square root shown as the unique power series solution and algebraic equivalence to the unconstrained vielbein formulation.
Non-primary square roots in massive gravity preserve covariance but lack analytic perturbation theory and risk complex domains.
Exact solutions and uniform approximations for GW modes in bigravity in de Sitter yield regime-dependent luminosity distances, a new bound from GW170817, and retained coherence between massless and massive signal components.
citing papers explorer
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On the Uniqueness of Ghost-Free Multi-Gravity -- II: Constraining antisymmetrised multi spin-2 interactions
The known ghost-free multivielbein theory is the unique ghost-free theory with genuine multi-field interactions for more than two vielbeins.
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Radio sirens: inferring $H_0$ with binary black holes and neutral hydrogen in the era of the Einstein Telescope and the SKA Observatory
Using simulated binary black hole mergers and neutral hydrogen maps, the radio sirens method constrains H0 to 8% precision with 3000 high-SNR events, offering a 90% improvement over standard dark siren analyses.
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Bimetric interactions based on metric congruences
Bimetric interactions are defined via a congruence matrix, with the square root shown as the unique power series solution and algebraic equivalence to the unconstrained vielbein formulation.
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Non-primary square roots in massive gravity
Non-primary square roots in massive gravity preserve covariance but lack analytic perturbation theory and risk complex domains.
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Gravitational wave propagation in bigravity in the late universe
Exact solutions and uniform approximations for GW modes in bigravity in de Sitter yield regime-dependent luminosity distances, a new bound from GW170817, and retained coherence between massless and massive signal components.