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Paper   IPM / Astronomy / 17925
School of Astronomy
  Title:   Quantum fluctuations in the interior of black holes and backreactions
  Author(s):  H. Firouzjahi
  Status:   Published
  Journal: Phys. Rev. D
  Vol.:  110
  Year:  2024
  Pages:   025022
  Supported by:  IPM
  Abstract:
We study the propagation of the quantum field perturbations in the interior of the Schwarzschild black hole. The interior of the black hole is like an anisotropic cosmological background which expands in one extended direction while contracting in azimuthal directions. Solving the quantum mode functions approximately, we calculate the expectation values of physical quantities such as the energy density ��� and pressure �P� as measured by an observer in the interior of the black hole. We employ a combination of the ζ function regularization and dimensional regularization schemes to regularize the UV divergences in the energy momentum tensor associated to these quantum perturbations. By solving the Einstein field equations, we calculate the quantum backreactions induced in the background geometry. We speculate that the effects of quantum fluctuations in the interior of the black hole can be measured by the exterior observer

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