1951/05/01 by A. H. Taub · 1,170 citations
Physics and Astronomy · Earth and Planetary Sciences · Mathematics · #Relativity and Gravitational Theory #Cosmology and Gravitation Theories #Geophysics and Gravity Measurements #Mathematics #Group (periodic table) #Space (punctuation) #Pure mathematics #Combinatorics #Geometry #Computer science #Physics
paper · doi:10.2307/1969567
published in Annals of Mathematics 53(3), 472 (Princeton University)
openalex publication_date 1951/05/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
where RV is the Ricci tensor, R is the scalar curvative and K is Einstein's gravitational constant. Equations (1.1) are second order partial differential equations for the g,, and their solutions involve arbitrary functions which are to be determined from physical data expressed as initial values or boundary conditions. On the basis of Mach's principle one would like to conclude that if T, = 0 and there are no singularities anywhere in the g9, then equations (1.1) which take the form