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A semiclassical singularity theorem
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Quantum fields do not satisfy the pointwise energy conditions that are assumed in the original singularity theorems of Penrose and Hawking. Accordingly, semiclassical quantum gravity lies outside their scope. Although a number of singularity theorems have been derived under weakened energy conditions, none is directly derived from quantum field theory. Here, we employ a quantum energy inequality satisfied by the quantized minimally coupled linear scalar field to derive a singularity theorem valid in semiclassical gravity. By considering a toy cosmological model, we show that our result predicts timelike geodesic incompleteness on plausible timescales with reasonable conditions at a spacelike Cauchy surface.
Forward citations
Cited by 2 Pith papers
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Complete Quantum Stress Tensor Inside a Four Dimensional Schwarzschild Black Hole: A Divergent Focusing Source
Complete interior RSET of a massless scalar in Unruh and Hartle–Hawking states approaches a universal conserved r^{-6} focusing tensor near the Schwarzschild singularity.
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Recent developments in semiclassical gravity
A short survey of semiclassical gravity advances, with emphasis on the author's own results on the initial value problem and a conjecture that black hole information loss is avoided.
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