On the compatibility of relativistic wave equations in riemann spaces

作者: H. A. Buchdahl

DOI: 10.1007/BF02733688

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摘要: On a previous occasion it was shown that the « natural generalization » to Riemann spaceV 4 of certain set flat-space free-field equations for particles spinS=3/2 is internally consistent if and only theV 4 an Einstein space. It now that, this case apart, all spinS⩾3/2 which may be said conform strong principle equivalence are compatible constant Riemannian curvature. The corresponding second-order wave in such space written down. Certain modified first-order caseS=2 involve curvature tensor explicitly

参考文章(2)
On relativistic wave equations for particles of arbitrary spin in an electromagnetic field Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences. ,vol. 173, pp. 211- 232 ,(1939) , 10.1098/RSPA.1939.0140