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.
Ghost-free Massive Gravity with a General Reference Metric
5 Pith papers cite this work. Polarity classification is still indexing.
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abstract
Theories of massive gravity inevitably include an auxiliary reference metric. Generically, they also contain an inconsistency known as the Boulware-Deser ghost. Recently, a family of non-linear massive gravity actions, formulated with a flat reference metric, were proposed and shown to be ghost free at the complete non-linear level. In this paper we consider these non-linear massive gravity actions but now formulated with a general reference metric. We extend the proof of the absence of the Boulware-Deser ghost to this case. The analysis is carried out in the ADM formalism at the complete non-linear level. We show that in these models there always exists a Hamiltonian constraint which, with an associated secondary constraint, eliminates the ghost. This result considerably extends the range of known consistent non-linear massive gravity theories. In addition, these theories can also be used to describe a massive spin-2 field in an arbitrary, fixed gravitational background. We also discuss the positivity of the Hamiltonian.
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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.
Final Planck CMB data confirms the flat 6-parameter ΛCDM model with Ω_c h² = 0.120 ± 0.001, Ω_b h² = 0.0224 ± 0.0001, n_s = 0.965 ± 0.004, τ = 0.054 ± 0.007, H_0 = 67.4 ± 0.5 km/s/Mpc, and no strong evidence for extensions.
Charged AdS black holes in dRGT massive gravity with exponential NED exhibit van der Waals-like first-order, second-order critical, and reentrant phase transitions between small and large black holes at fixed Lambda.
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Planck 2018 results. VI. Cosmological parameters
Final Planck CMB data confirms the flat 6-parameter ΛCDM model with Ω_c h² = 0.120 ± 0.001, Ω_b h² = 0.0224 ± 0.0001, n_s = 0.965 ± 0.004, τ = 0.054 ± 0.007, H_0 = 67.4 ± 0.5 km/s/Mpc, and no strong evidence for extensions.