Q-FFF Transformer String Theory says: Gravity is a Triple pushing force, between opposing anti-symmetric Axion vacuum pressure (space time) and Fermion produced Gravity Photons (FFF=Function Follows Form of particles)
Conclusion. the solar gravity effect should be mainly instantaneous by the anti symmetry of the local pulsating massive Axion vacuum configuration around the sun. Gravitons are assumed to have only little pressure and also instant effect on gravity.
In Q-FFF Theory, the vacuum can be compared with an energetic oscillating 3D tetrahedral lattice of massive ring shaped Axion fluxtubes, (or space time) instantaneous centered on the sun and stabilized by the "Vacuum Eating new Physics dual Stellar Anchor Black Holes" distribution at the solar poles, called he Solar Anchor Black Holes ( SABHs).
Fermion Masses emit Gravitons (6), which is only a minimal part of the Sun centered Vacuum pressure (3)