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PreprintCC BY 4.0arXiv

HWF Analysis of TRN Black Holes

  • Ashfaque Ahmad
  • Sudhir Kumar Gupta
  • Abbas Ali
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Abstract

We extend the horizon wave-function (HWF) formalism to a spherically symmetric, charged, spinless quantum source in 𝒟 + 1 dimensional spacetime geometry and construct the HWFs associated with inner- as well as outer-horizons of the Tangherlini--Reissner--Nordström (TRN) black hole. The corresponding black hole formation probabilities, PBH±, are also calculated and their sensitivities due to various source parameters including charge, mass, and 𝒟 are analysed as well. Our analysis reveals that the ratio of inner- to outer-horizon probabilities, PBH−/PBH+, changes drastically from being unity as the source departs away from being in the extremal limit defined by α (→ 1 for extremal case). Furthermore, black hole formation probabilities are found to be highly suppressed for higher values of 𝒟, particularly for the source mass, m ≲ Λ𝒟, e.g., for α= 0.5, the ratio, PBH+(𝒟 = 5)/PBH+(𝒟=10) turn out to be approximately associated with 𝒟 spatial-dimensions.

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Cite

BibTeXRIS
BibTeX
@misc{ahmad2026analysis,
  title = {{HWF Analysis of TRN Black Holes}},
  author = {Ashfaque Ahmad and Sudhir Kumar Gupta and Abbas Ali},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.39757},
  eprint = {2610.39757},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.39757},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - HWF Analysis of TRN Black Holes
AU  - Ashfaque Ahmad
AU  - Sudhir Kumar Gupta
AU  - Abbas Ali
PY  - 2026
DA  - 2026/10/29
PB  - arXiv
DO  - 10.48550/arxiv.2610.39757
UR  - https://arxiv.org/abs/2610.39757
AB  - We extend the horizon wave-function (HWF) formalism to a spherically symmetric, charged, spinless quantum source in 𝒟 + 1 dimensional spacetime geometry and construct the HWFs associated with inner- as well as outer-horizons of the Tangherlini--Reissner--Nordström (TRN) black hole. The corresponding black hole formation probabilities, P_BH^±, are also calculated and their sensitivities due to various source parameters including charge, mass, and 𝒟 are analysed as well. Our analysis reveals that the ratio of inner- to outer-horizon probabilities, P_BH^−/P_BH^+, changes drastically from being unity as the source departs away from being in the extremal limit defined by α (→ 1 for extremal case). Furthermore, black hole formation probabilities are found to be highly suppressed for higher values of 𝒟, particularly for the source mass, m ≲ Λ_𝒟, e.g., for α= 0.5, the ratio, P_BH^+(𝒟 = 5)/P_BH^+(𝒟=10) turn out to be approximately associated with 𝒟 spatial-dimensions.
ER  -