Solutions of the Zero-Rest-Mass Equations

By means of contour integrals involving arbitrary analytic functions, general solutions of the zero‐rest‐mass field equations in flat space‐time can be generated for each spin. If the contour surrounds only a simple (respectively, low‐order) pole of the function, the resulting field is null (respectively, algebraically special).

[1]  Roger Penrose,et al.  Zero rest-mass fields including gravitation: asymptotic behaviour , 1965, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[2]  W. Pauli,et al.  On relativistic wave equations for particles of arbitrary spin in an electromagnetic field , 1939 .

[3]  I. Robinson Null Electromagnetic Fields , 1961 .

[4]  P. Dirac Relativistic Wave Equations , 1936 .

[5]  P. Bergmann,et al.  Structure of Particles in Linearized Gravitational Theory , 1958 .

[6]  A. Trautman,et al.  Some spherical gravitational waves in general relativity , 1962, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[7]  R. Penrose Twistor quantisation and curved space-time , 1968 .