Summary
It is shown that linear metrical gravitational theory based on one tensor field of second order which satisfies the weak-equivalence principle is equivalent to, in linear approximation, general theory of relativity.
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Pandey, S.N., Finkelstein, A.M. On linear gravitational theories. Lett. Nuovo Cimento 38, 270–272 (1983). https://doi.org/10.1007/BF02814642
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DOI: https://doi.org/10.1007/BF02814642