Black-and-white holes

Abstract

An analysis of the complete Schwarzschild manifold M is performed. The Finkelstein time is assumed to order the events causally, instead of the Kruskal time. As a consequence of this assumption, the mutual causal behavior of the four Schwarzschild regions contained in M allows one to conceive of a dynamical mechanism which could produce the main features of M in some region of spacetime. Assuming the strong principle of equivalence, one predicts a significant blue shift of the radiation emitted by matter emerging from the r = 0singularity. This phenomenon has not been observed. A way to reconcile the assumption that M is physical with the absence of blue shifts is to require only a weaker equivalence principle, namely the local validity of the principle of (special) relativity in any local inertial frame. From such an equivalence principle, which one cannot renounce without giving up the whole theory of relativity, it is possible to deduce the ratio between the frequencies (as measured by an observer at rest in the asymptotically flat domain) emitted by two identical transmitters at the Schwarzschild times at which they reach the same 3-space point of the exterior Schwarzschild region along different geodesics. A physical interpretation of the peculiar feature of M of being the union of four regions with an infinitespace-like extension is suggested. Such an interpretation is mainly based on a general relativity generalization of the space-time previously introduced in the special relativity theory of superluminal frames.