Can a four vector of acceleration represent a field interaction ?

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Offline Richard777

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If a “four vector” of acceleration represents the “field interaction” between a static object and the continuum, then vector combination rules govern the interaction.

If combination rules and tensor definitions are suitable, then the EFE may be simply obtained.

If component definitions are suitable, then the Schwarzschild metric may be simply derived. These simplified derivations are available for review online.

Does this imply that a field may be represented as a four vector?