Quantum phase space description of a cosmological minimal massive bigravity model

Bimetric gravity theories describes gravitational interactions in the presence of an extra spin-2 field. The Hassan–Rosen (HR) nonlinear massive minimal bigravity theory is a ghost-free bimetric formulated with respect flat, dynamical reference metric. In this work deformation quantization formalism applied to HR cosmological model minisuperspace. procedure performed explicitly for quantum cosmology Friedmann–Lemaître–Robertson–Walker flat metrics worked out and computation Wigner functions Hartle–Hawking, Vilenkin Linde wavefunctions are done numerically and, Hartle–Hawking case, also analytically. From stability analysis minisuper phase space it found interpretation mass graviton as emergent constant measure deviation classical behavior functions. Also, from interesting relation between curvature cusp catastrophe surface discussed.