Particularization of the Sequence of Spacetime/Intrinsic Spacetime Geometries and Associated Sequence of Theories in Metric Force Fields in the Four-world Picture to the Gravitational Field I

The two stages of evolutions of metric spacetime and intrinsic metric spacetime and the associatedspacetime/intrinsic spacetime geometries in long range metric force fields, derived in the four-worldpicture in previous articles, are particularized to the gravitational field. The theory of relativity onflat four-dimensional gravitational-relativistic metric spacetime(IE3,cst)and the theory of intrinsicrelativity on the underlying flat two-dimensional gravitational-relativistic intrinsic metric spacetime(∅ρ,∅cs∅t), due to the presence of a long range metric force field in spacetime, as well as theabsolute intrinsic metric theory (of the metric force field) on the curved ‘two-dimensional’ absoluteintrinsic metric spacetime(∅ˆρ,∅ˆcs∅ˆt)with absolute intrinsic metric tensor∅ˆgik, all of which evolveat two stages of evolutions of metric spacetimes and intrinsic metric spacetimes in long range metricforce fields in general, developed in the previous articles, are adapted to the gravitational field.They become the theory of gravitational relativity (TGR) on the flat four-dimensional relativisticmetric spacetime, the theory of intrinsic gravitational relativity (T∅GR) on the underlying flattwo-dimensional relativistic intrinsic metric spacetime and the metric theory of absolute intrinsicgravity (MA∅G) on the curved ‘two-dimensional’ absolute intrinsic metric spacetime, which evolveat two stages of evolutions of metric spacetime and intrinsic metric spacetime in a gravitationalfield of arbitrary strength. The basic aspects of these coexisting theories in the gravitational fieldare developed.