...ss (DC). This journal is peer reviewed and included in the abstracting and indexing coverage of: Mathematical Reviews and MathSciNet (AMS, USA), DOAJ ... ... On the Geometry of the General Solution for the Vacuum Field of the Point-Mass. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .... ...n the Generalisation of Kepler’s 3rd Law for the Vacuum Field of the Point-Mass. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .... ... On the Geometry of the General Solution for the Vacuum Field of the Point-Mass Stephen J. Crothers Sydney, Australia E-mail: thenarmis@yahoo.com The ... ...o astronomical problems, for then the singularity r=α is buried inside the body, i. e. outside the domain of the feld equations R mn =0. But if we acc... ... the gravitational feld of the point-mass is an indication that a material body cannot collapse to a point, and therefore such a model is inadequate. ... ...940’s [2, 3]. Its essence is that if an observer accompanies his reference body, Alternatively, Landau and Lifshitz in their The Classical Theory of... ...ioned equations m 0 cF αβ U β =0 (31), being taken in contravariant (upper-index) form, are m 0 cF α∙ ∙σ U σ =0, (59) whereU σ is the four-dimensional... ...the chr.inv.-feld strength tensorU ik , can be written in covariant (lower index) form as follows U ik =p 0 h ik −α ik =ph ik −β ik , (72) where α ik ...