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Journal Article

Quantum probing of null-singularities

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Schneider,  Marc
Theoretical Cosmology, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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2105.01071.pdf
(Preprint), 2MB

PhysRevD.104.125020.pdf
(Publisher version), 473KB

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Citation

Sachs, I., Schneider, M., & Urban, M. (2021). Quantum probing of null-singularities. Physical Review D, 104 (12 ): 125020. doi:10.1103/PhysRevD.104.125020.


Cite as: https://hdl.handle.net/21.11116/0000-0008-A0F8-B
Abstract
We adapt the dual-null foliation to the functional Schr\"odinger
representation of quantum field theory and study the behavior of quantum probes
in plane-wave space-times near the null-singularity. A comparison between the
Einstein-Rosen and the Brinkmann patch, where the latter extends beyond the
first, shows a seeming tension that can be resolved by comparing the
configuration spaces. Our analysis concludes that Einstein-Rosen space-times
support exclusively configurations with non-empty gravitational memory that are
focussed to a set of measure zero in the focal plane with respect to a
Brinkmann observer. To conclude, we provide a rough framework to estimate the
qualitative influence of back-reactions on these results.