Conformal scalar propagation inside the Schwarzschild black hole |
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Authors: | George Tsoupros |
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Institution: | (1) Department of Mathematics, University of the Punjab, Lahore, 54590, Pakistan |
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Abstract: | The analytic expression obtained in the preceding project for the massless conformal scalar propagator in the Hartle–Hawking
vacuum state for small values of the Schwarzschild radial coordinate above r = 2M is analytically extended into the interior of the Schwarzschild black hole. The result of the analytical extension coincides
with the exact propagator for a small range of values of the Schwarzschild radial coordinate below r = 2M and is an analytic expression which manifestly features its dependence on the background space–time geometry. This feature
as well as the absence of any assumptions and prerequisites in the derivation render this Hartle–Hawking scalar propagator
in the interior of the Schwarzschild black-hole geometry distinct from previous results. The two propagators obtained in the
interior and in the exterior region of the Schwarzschild black hole are matched across the event horizon. The result of that
match is a massless conformal scalar propagator in the Hartle–Hawking vacuum state which is shown to describe particle production
by the Schwarzschild black hole.
“The future is not what it used to be!”
From Alan Parker’s film “Angel Heart” |
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