Black Holes Thermodynamic Topology in Sharma-Mittal Statistics

Abstract

In this study, we explore the thermodynamic topology of black holes within the Sharma-Mittal entropy framework. Our study covers several black hole solutions, including charged and uncharged black holes in d-dimensional, as well as Schwarzschild and Reissner-Nordström black holes. By introducing the Sharma-Mittal entropy characterized by two parameters δ and R, we explore how deviations from the standard Boltzmann-Gibbs statistics modify the thermodynamic structure and stability properties of these systems. Using Duan's Φ-mapping theory, we compute the corresponding topological numbers and classify black holes into distinct topological categories according to the winding number W. Moreover, our analysis shows that, within the Sharma-Mittal formalism, the topological classification is independent of spacetime dimension in the case d>4, although dimensions higher than four exhibit distinct features compared to the four-dimensional Schwarzschild and Reissner-Nordström black holes, reveal different behavior of thermodynamic topology under generalized statistics.

Thermodynamic topology of magnetic GMGHS black holes: the W̅¹⁻ subclass
Dejiang Yin, Qi-Qi Liang, Yu-Die Wan +1
arXiv17 Sep 2026PreprintarXiv licenceFull textGravitation & general relativityarXiv
Thermodynamic topology of AdS black holes with F^αβF^γλR_αγR_βλ coupling in the grand canonical ensemble
Faramarz Rahmani, Mehdi Sadeghi
arXiv14 Sep 2026PreprintCC BY-NC-SA 4.0Full textHigh-energy & particle physicsarXiv
Thermodynamic geometry of inclusion statistics
M. H. Naghizadeh Ardabili, Omid Yahyayi Monem, Habib Esmaili +2
arXiv12 Sep 2026PreprintarXiv licenceFull textStatistical & nonlinear physicsarXiv
Thermodynamic volumes of extended black hole thermodynamics with auxiliary gauge fields
Zili Mou, Yu Tian, Hongbao Zhang
Physics Letters B30 Oct 2026Peer-reviewedCC BY 4.0Full textHigh-energy & particle physicsCrossref
Charged Black Hole Solution in Hoyle Narlikar Gravity and its Thermodynamic Properties
Aniruddha Ghosh, Ujjal Debnath
arXiv14 Sep 2026PreprintCC BY 4.0Full textGravitation & general relativityarXiv

Cite

BibTeX RIS

BibTeX

@misc{najma2026black,
  title = {{Black Holes Thermodynamic Topology in Sharma-Mittal Statistics}},
  author = {Issam Najma and Yahya Ladghami and Amine Bouali and Taoufik Ouali},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.07354},
  eprint = {2609.07354},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.07354},
}

RIS

TY  - UNPB
TI  - Black Holes Thermodynamic Topology in Sharma-Mittal Statistics
AU  - Issam Najma
AU  - Yahya Ladghami
AU  - Amine Bouali
AU  - Taoufik Ouali
PY  - 2026
DA  - 2026/09/07
PB  - arXiv
DO  - 10.48550/arxiv.2609.07354
UR  - https://arxiv.org/abs/2609.07354
AB  - In this study, we explore the thermodynamic topology of black holes within the Sharma-Mittal entropy framework. Our study covers several black hole solutions, including charged and uncharged black holes in d-dimensional, as well as Schwarzschild and Reissner-Nordström black holes. By introducing the Sharma-Mittal entropy characterized by two parameters δ and R, we explore how deviations from the standard Boltzmann-Gibbs statistics modify the thermodynamic structure and stability properties of these systems. Using Duan's Φ-mapping theory, we compute the corresponding topological numbers and classify black holes into distinct topological categories according to the winding number W. Moreover, our analysis shows that, within the Sharma-Mittal formalism, the topological classification is independent of spacetime dimension in the case d>4, although dimensions higher than four exhibit distinct features compared to the four-dimensional Schwarzschild and Reissner-Nordström black holes, reveal different behavior of thermodynamic topology under generalized statistics.
ER  -

Abstract

Related

Cite