Apparent horizons of an N-black-hole system in a space-time with a cosmological constant
PhysRevD_47_3203.pdf 961 KB
We present the analytic solution of N Einstein-Rosen bridges ("N black holes") in the space-time with a cosmological constant Λ and analyze it for one- and two-bridge systems. We discuss the three kinds of apparent horizons: i.e., the black-hole, white-hole, and cosmological apparent horizons. In the case of two Einstein-Rosen bridges, when the "total mass" is larger than a critical value, the black-hole apparent horizon surrounding two Einstein-Rosen bridges is not formed even if the distance is very short. Furthermore, in this case, the cosmological apparent horizon enclosing both bridges does not appear. Hence, it seems that when the "total mass" is very large, the Einstein-Rosen bridges cannot collapse into one black hole unless the "gravitational mass" is released in some way.
Physical Review D
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American Physical Society
Copyright (c) 1993 The American Physical Society
Graduate School of Science