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Long-range correlations of the stress tensor near the Cauchy horizon

Published 10 Nov 2023 in gr-qc and quant-ph | (2311.06068v2)

Abstract: We show that the stress tensor of a real scalar quantum field on Reissner-Nordstr{\"o}m-de Sitter spacetime exhibits correlations over macroscopic distances near the Cauchy horizon. These diverge as the Cauchy horizon is approached and are universal, i.e., state-independent. This signals a breakdown of the semi-classical approximation near the Cauchy horizon. We also investigate the effect of turning on a charge of the scalar field and consider the correlation of the stress tensor between the two poles of the Cauchy horizon of Kerr-de Sitter spacetime.

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References (29)
  1. R. P. Feynman, in The Role of Gravitation in Physics: Report from the 1957 Chapel Hill Conference., edited by D. Rickles and C. M. DeWitt (Max-Planck-Gesellschaft zur Förderung der Wissenschaften, Berlin, 2011).
  2. C. Anastopoulos and B.-L. Hu, Class. Quant. Grav. 32, 165022 (2015), arXiv:1504.03103 [quant-ph] .
  3. C. Marletto and V. Vedral, Phys. Rev. Lett. 119, 240402 (2017), arXiv:1707.06036 [quant-ph] .
  4. A. D. Linde, Particle physics and inflationary cosmology, Contemporary Concepts in Physics, Vol. 5 (Harwood, New York, 1990) arXiv:hep-th/0503203 .
  5. R. Penrose, in Gravitational Radiation and Gravitational Collapse, edited by C. M. DeWitt (Springer, Heidelberg, 1974).
  6. J. M. McNamara, Proc. Roy. Soc. London Ser. A 364, 121 (1978).
  7. E. Poisson and W. Israel, Phys. Rev. D 41, 1796 (1990).
  8. A. Ori, Phys. Rev. Lett. 67, 789 (1991).
  9. F. Mellor and I. Moss, Phys. Rev. D 41, 403 (1990).
  10. J. Luk and S.-J. Oh, Duke Math. J. 166, 437 (2017), arXiv:1501.04598 [gr-qc] .
  11. P. Hintz and A. Vasy, J. Math. Phys. 58, 081509 (2017), arXiv:1512.08004 [math.AP] .
  12. M. Dafermos and Y. Shlapentokh-Rothman, Commun. Math. Phys. 350, 985 (2017), arXiv:1512.08260 [gr-qc] .
  13. M. Dafermos and J. Luk,   (2017), arXiv:1710.01722 [gr-qc] .
  14. M. Dafermos and Y. Shlapentokh-Rothman, Class. Quant. Grav. 35, 195010 (2018), arXiv:1805.08764 [gr-qc] .
  15. N. D. Birrell and P. C. W. Davies, Nature 272, 35 (1978).
  16. W. A. Hiscock, Phys. Rev. D 21, 2057 (1980).
  17. D. Markovic and E. Poisson, Phys. Rev. Lett. 74, 1280 (1995), arXiv:gr-qc/9411002 .
  18. N. Zilberman and A. Ori, Phys. Rev. D 104, 024066 (2021), arXiv:2105.06521 [gr-qc] .
  19. T. McMaken and A. J. S. Hamilton, Phys. Rev. D 107, 085010 (2023), arXiv:2301.12319 [gr-qc] .
  20. D. Christodoulou, The Formation of Black Holes in General Relativity (European Mathematical Society Publishing House, Zürich, 2009) arXiv:0805.3880 [gr-qc] .
  21. P. Hintz and C. K. M. Klein, Class. Quant. Grav. 41, 075006 (2024), arXiv:2310.19655 [gr-qc] .
  22. C. Buss and M. Casals, Phys. Lett. B 776, 168 (2018), arXiv:1709.05990 [hep-th] .
  23. R. Balbinot and A. Fabbri, Phys. Rev. D 105, 045010 (2022), arXiv:2107.00702 [gr-qc] .
  24. M. Fontana and M. Rinaldi,   (2023), arXiv:2302.08804 [gr-qc] .
  25. R. Balbinot and A. Fabbri, Phys. Rev. D 108, 045004 (2023), arXiv:2303.11039 [gr-qc] .
  26. S. Hollands and R. M. Wald, Phys. Rept. 574, 1 (2015), arXiv:1401.2026 [gr-qc] .
  27. A. Levi and A. Ori, Phys. Rev. D 94, 044054 (2016), arXiv:1606.08451 [gr-qc] .
  28. B.-L. B. Hu and E. Verdaguer, Semiclassical and Stochastic Gravity: Quantum Field Effects on Curved Spacetime, Cambridge Monographs on Mathematical Physics (Cambridge University Press, Cambridge, 2020).
  29. N. Pinamonti and D. Siemssen, J. Math. Phys. 56, 022303 (2015), arXiv:1303.3241 [gr-qc] .
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