Phantom shell around black hole and global geometry

Abstract

We describe the possible scenarios for the evolution of a thin spherically symmetric self-gravitating phantom shell around the Schwarzschild black hole. The general equations describing the motion of the shell with a general form of equation of state are derived and analyzed. The different types of space-time R- and T-regions and shell motion are classified depending on the parameters of the problem. It is shown that in the case of a positive shell mass there exist three scenarios for the shell evolution with an infinite motion and two distinctive types of collapse. Analogous scenarios were classified for the case of a negative shell mass. In particular this classification shows that it is impossible for the physical observer to detect the fantom energy flow. We shortly discuss the importance of our results for astrophysical applications.

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• The general solution for relativistic spherical shells
• Spherically symmetric double layers in Weyl+Einstein gravity
• Dynamics of a thin shell in the Reissner-Nordstrom metric
• On the theory of spherically symmetric thin shells in conformal gravity
• Stability regions of glued wormholes with massless Kim-Lee backreacted spacetimes as interior