SpecialRelativistic Derivation of Generally Covariant Gravitation Theory
Abstract
The Newtonian gravitation theory is generalized to an inhomogeneous wave equation for a tensor gravitational potential in Euclidean spacetime by invoking the special relativity postulates of Lorentz invariance and equivalence of mass and energy. Under the assumption of Lagrangian derivability, this is found to lead uniquely to the generally covariant field theories (including the general relativity theory) augmented by four auxiliary conditions. Appendices treat the general definition of the energy tensor, and an empirically disqualified special relativistic scalar generalization of the Newtonian theory.
 Publication:

Physical Review
 Pub Date:
 May 1955
 DOI:
 10.1103/PhysRev.98.1118
 Bibcode:
 1955PhRv...98.1118K