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.
Resolving the Ghost Problem in non-Linear Massive Gravity
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abstract
We analyze the ghost issue in the recently proposed models of non-linear massive gravity in the ADM formalism. We show that, in the entire two-parameter family of actions, the Hamiltonian constraint is maintained at the complete non-linear level and we argue for the existence of a non-trivial secondary constraint. This implies the absence of the pathological Boulware-Deser ghost to all orders. To our knowledge, this is the first demonstration of the existence of a consistent theory of massive gravity at the complete non-linear level, in four dimensions.
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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.
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.
citing papers explorer
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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.
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Thermodynamics and phase transitions of charged-AdS black holes in dRGT massive gravity with nonlinear electrodynamics
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.