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Accretion and Neutrino-Motivated Thermal Diagnostics of Thermodynamically Reconstructed Black Holes from Three-Parameter Generalized Entropy

  • F. Barzi
  • W. El Hadri
  • H. El Moumni
  • K. Masmar
  • S. Mazzou
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Abstract

We study accretion and thermal diagnostics motivated by neutrino processes for a static black hole reconstructed from a three-parameter generalized entropy. The construction is thermodynamic by design: the entropy deformation is not mapped to a radial-coordinate redefinition or to a prescribed Reissner--Nordström-like correction. Instead, the generalized entropy fixes the horizon response factor Ξh=dSG/dS|Sh. The effective exterior geometry is then reconstructed by requiring its surface-gravity temperature to reproduce the generalized thermodynamic temperature. As a result, the metric preserves the horizon area and the Schwarzschild asymptotics, and reduces smoothly to Schwarzschild when Ξh→1. The entropy response is encoded in λG=1/Ξh−1, whereas the exterior radial dependence requires an additional localization prescription. The detailed accretion analysis is performed for the power-law family h(x)=x−p, with p≥2. Within this reconstruction family, positive λG moves the photon sphere and ISCO inward, decreases the critical shadow scale, raises the radiative efficiency, and concentrates the energy release toward the inner disk, while negative λG produces the opposite trend. A complementary comparison with exponential and rational localization functions shows that this qualitative ordering is preserved for the profiles tested, although the magnitude of the strong-field shifts remains profile-dependent. Finally, the neutrino-motivated thermal sector ...

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Cite

BibTeXRIS
BibTeX
@misc{barzi2026accretion,
  title = {{Accretion and Neutrino-Motivated Thermal Diagnostics of Thermodynamically Reconstructed Black Holes from Three-Parameter Generalized Entropy}},
  author = {F. Barzi and W. El Hadri and H. El Moumni and K. Masmar and S. Mazzou},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2607.16337},
  eprint = {2607.16337},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2607.16337},
}
RIS
TY  - UNPB
TI  - Accretion and Neutrino-Motivated Thermal Diagnostics of Thermodynamically Reconstructed Black Holes from Three-Parameter Generalized Entropy
AU  - F. Barzi
AU  - W. El Hadri
AU  - H. El Moumni
AU  - K. Masmar
AU  - S. Mazzou
PY  - 2026
DA  - 2026/09/28
PB  - arXiv
DO  - 10.48550/arxiv.2607.16337
UR  - https://arxiv.org/abs/2607.16337
AB  - We study accretion and thermal diagnostics motivated by neutrino processes for a static black hole reconstructed from a three-parameter generalized entropy. The construction is thermodynamic by design: the entropy deformation is not mapped to a radial-coordinate redefinition or to a prescribed Reissner--Nordström-like correction. Instead, the generalized entropy fixes the horizon response factor Ξ_h=dS_G/dS|_S_h. The effective exterior geometry is then reconstructed by requiring its surface-gravity temperature to reproduce the generalized thermodynamic temperature. As a result, the metric preserves the horizon area and the Schwarzschild asymptotics, and reduces smoothly to Schwarzschild when Ξ_h→1. The entropy response is encoded in λ_G=1/Ξ_h−1, whereas the exterior radial dependence requires an additional localization prescription. The detailed accretion analysis is performed for the power-law family h(x)=x^−p, with p≥2. Within this reconstruction family, positive λ_G moves the photon sphere and ISCO inward, decreases the critical shadow scale, raises the radiative efficiency, and concentrates the energy release toward the inner disk, while negative λ_G produces the opposite trend. A complementary comparison with exponential and rational localization functions shows that this qualitative ordering is preserved for the profiles tested, although the magnitude of the strong-field shifts remains profile-dependent. Finally, the neutrino-motivated thermal sector ...
ER  -