Multiscalar-metric gravity: merging gravity, dark energy and dark matter

Abstract: The status of a modification of General Relativity (GR) -- Spontaneously Broken Relativity (SBR) -- for merging gravity, dark energy (DE) and dark matter (DM) is presented. The modification is principally grounded on a multiscalar-metric concept of spacetime endowed with two dynamical structures: a basic metric and a set of the reversible multiscalar fields. The latter ones serve geometrically as exceptional dynamical coordinates among arbitrary kinematical/observer's ones and physically as a kind of gravitational Higgs fields producing possible spontaneous breaking of the symmetry (SSB) of relativity. The effective field theory (EFT) of the extended gravity based on the multiscalar-metric spacetime -- the metagravity -- is discussed and some of its particular realizations beyond GR as SBR are explicated. Physically, SBR results in appearance of massive tensor and scalar gravitons. Some of the emerging consequences, problems and prospects for SBR for future deeper unification of gravity with matter in the context of the relativity and internal symmetries breaking are shortly discussed.