The effect of negative-energy shells on the Schwarzschild black hole |
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Authors: | Jeffrey S Hazboun and Tevian Dray |
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Institution: | (1) Department of Mathematics, Jadavpur University, Kolkata, 700 032, India;(2) Centre for Theoretical Physics, Jamia Millia Islamia, New Delhi, 110025, India;(3) Department of Physics, Netaji Nagar College for Women, Regent Estate, Kolkata, 700092, India |
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Abstract: | We construct Penrose diagrams for Schwarzschild spacetimes joined by massless shells of matter, in the process correcting
minor flaws in the similar diagrams drawn by Dray and ’t Hooft (Commun Math Phys 99:613–625, 1985), and confirming their result
that such shells generate a horizon shift. We then consider shells with negative energy density, showing that the horizon
shift in this case allows for travel between the heretofore causally separated exterior regions of the Schwarzschild geometry.
These drawing techniques are then used to investigate the properties of successive shells, joining multiple Schwarzschild
regions. Again, the presence of negative-energy shells leads to a causal connection between the exterior regions, even in
(some) cases with two successive shells of equal but opposite total energy. |
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