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Paper   IPM / Astronomy / 17017
School of Astronomy
  Title:   Cosmological constant and vacuum zero point energy in black hole backgrounds
  Author(s):  H. Firouzjahi
  Status:   Published
  Journal: Phys. Rev. D
  Vol.:  106
  Year:  2022
  Supported by:            ipm IPM
We study the quantum vacuum zero point energy in the Schwarzschild black hole as well as in the Nariai limit of the de Sitterâ??Schwarzschild backgrounds. We show that the regularized vacuum energy density near the black hole and also in the Nariai setup match exactly with the corresponding value in the flat background, scaling with the fourth power of the mass of the quantum field. The horizon radius of the de Sitter (dS) space created from the vacuum zero point energy introduces a new length scale which should be compared with the black hole horizon radius. There is an upper limiting mass for the black hole immersed in the vacuum zero point energy which is determined by the mass of the Nariai metric associated to the dS background constructed from zero point energy. We calculate the variance in the distribution of the vacuum zero point energy and the density contrast and show that it develops strong inhomogeneities on subhorizon scales

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