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Schwinger Effect in Near-extremal Charged Black Holes in High Dimensions

High Energy Physics - Theory 2020-06-24 v1 General Relativity and Quantum Cosmology

Abstract

We study the Schwinger effect in near-extremal nonrotating black holes in an arbitrary D(4)D(\geq 4)-dimensional asymptotically flat and (A)dS space. Using the near-horizon geometry AdS2×SD2\mathrm{AdS}_2 \times \mathrm{S}^{D-2} of near-extremal black holes with Myers-Perry metric, we find a universal expression of the emission formula for charges that is a multiplication of the Schwinger effects in an AdS2\mathrm{AdS}_2 space and in a two-dimensional Rindler space. The effective temperature of an accelerated charge for the Schwinger effect is determined by the radii of the effective AdS2\mathrm{AdS}_2 space and SD2\mathrm{S}^{D-2} as well as the mass, charge, angular momentum of the charge and the radius of the (A)dS space. The Schwinger effect in the asymptotically flat space is more efficient and persistent for a wide range of large black holes for dimensions higher than four. The AdS (dS) boundary enhances (suppresses) the Schwinger effect than the asymptotically flat space. The Schwinger effect persists for a wide range of black holes in the AdS space and has an upper bound in the dS space.

Keywords

Cite

@article{arxiv.2004.00735,
  title  = {Schwinger Effect in Near-extremal Charged Black Holes in High Dimensions},
  author = {Rong-Gen Cai and Chiang-Mei Chen and Sang Pyo Kim and Jia-Rui Sun},
  journal= {arXiv preprint arXiv:2004.00735},
  year   = {2020}
}

Comments

RevTex 11 pages, 11 figures