We investigate a formulation of continuum 4d gravity in terms of a constrained topological (BF) theory, in the spirit of the Plebanski formulation, but involving only linear constraints, of the type used recently in the spin foam approach to quantum gravity. We identify both the continuum version of the linear simplicity constraints used in the quantum discrete context and a linear version of t...

A covariant theory of gravitation in flat space-time is stated and compared with general relativity. The results of the theory of gravitation in flat space-time and of general relativity agree for weak gravitational fields to low approximations. For strong fields the results of the two theories deviate from one another. Flat space-time theory of gravitation gives under some natural assumptions ...

Einstein’s 1915 relativistic theory of gravity — general relativity — will soon be a century old. It is the classical theory of one of the four fundamental forces. It underlies our contemporary understanding of the big bang, black holes, pulsars, quasars, X-ray sources, the final destiny of stars, gravitational waves, and the evolution of the universe itself. It is the intellectual origin of ma...