Assuming that the metric tensor gij depends on a continuous parameter e, we write Einstein's field equations of general relativity in the form of a divergence equation. The theory of surface layer in general relativity is then worked out. Finally, an integral flux law is proposed from which both the field equations and the boundary conditions for a surface layer can be deduced.
Content may be subject to copyright.This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publ... ...This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in [Surface Layer in General Relativity and Integral Form of Field Law. Journal of Mathematical Physics 11, 5 p1725-1729 (1970)] and may be found at https://doi.org/10.1063/1.1665317.