Skip to content
DraconiticResearch
Search Sources API
203,234 studies31 sourcesUpdated 32 min ago
PreprintarXiv licencearXiv

Multihair thermodynamics of Kerr-Newman-NUT-AdS4 spacetimes

  • Di Wu
  • Shuang-Qing Wu
Open at sourcePDFDOICite

Abstract

In this paper, we develop a multihair thermodynamic description of Lorentzian Kerr-Newman-NUT-AdS4 spacetime in which rotation, electric charge, AdS pressure and polar conical tensions enter a homogeneous Christodoulou-Ruffini-type squared-mass formula. The NUT contribution is described by a rotation-like secondary hair Jn=mn/K2 and a charge-like secondary hair N=n/√K. Both depend on the metric parameters of the physical solution family but are varied independently in the enlarged thermodynamic state space. The mass formula yields the first law and Smarr relation in a single enthalpy representation, with the area entropy and Hawking temperature. The Kerr-Newman-AdS, asymptotically flat Kerr-Newman-NUT and nonrotating RN-NUT-AdS limits check the angular normalization and the NUT and pressure contributions. We also consider alternative NUT variables, including the conformal dual mass, and derive the corresponding changes in thermodynamic volume and conical-defect lengths. This description applies to the chosen homogeneous state space and does not require the secondary hairs to be independent asymptotic or Misner-string surface charges.

Related

  1. Two-horizon sector thermodynamics and NUT bi-hair in Kerr-Newman-NUT spacetimes
    Di Wu, Robert B. Mann, Shuang-Qing Wu
    arXivPreprintarXiv licenceFull textGravitation & general relativityHigh-energy & particle physicsarXiv
  2. Thermodynamics of Kerr-Newman-Bertotti-Robinson black holes
    Zelin Zhang, Zhenyu Zhang, Bin Chen
    arXivPreprintCC BY 4.0Full textGravitation & general relativityarXiv
  3. Topological Interpretations in Anisotropic Kerr-Newman-AdS Black Hole Thermodynamics
    Sreeshma A, Md Sabir Ali, C. L. Ahmed Rizwan
    arXivPreprintarXiv licenceFull textGravitation & general relativityarXiv
  4. Parity Isospectrality of the Kerr--Newman--de Sitter Black Hole
    Colin Weller, Dongjun Li, Pratik Wagle +2
    arXivPreprintCC BY 4.0Full textGravitation & general relativityarXiv
  5. Perturbations of Kerr-Newman black holes: separation and mode stability
    Peter Hintz
    arXivPreprintarXiv licenceFull textAnalysis & PDEsGravitation & general relativityarXiv

Cite

BibTeXRIS
BibTeX
@misc{wu2026multihair,
  title = {{Multihair thermodynamics of Kerr-Newman-NUT-AdS$_4$ spacetimes}},
  author = {Di Wu and Shuang-Qing Wu},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2606.03958},
  eprint = {2606.03958},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2606.03958},
}
RIS
TY  - UNPB
TI  - Multihair thermodynamics of Kerr-Newman-NUT-AdS_4 spacetimes
AU  - Di Wu
AU  - Shuang-Qing Wu
PY  - 2026
DA  - 2026/09/08
PB  - arXiv
DO  - 10.48550/arxiv.2606.03958
UR  - https://arxiv.org/abs/2606.03958
AB  - In this paper, we develop a multihair thermodynamic description of Lorentzian Kerr-Newman-NUT-AdS_4 spacetime in which rotation, electric charge, AdS pressure and polar conical tensions enter a homogeneous Christodoulou-Ruffini-type squared-mass formula. The NUT contribution is described by a rotation-like secondary hair J_n=mn/K^2 and a charge-like secondary hair N=n/√K. Both depend on the metric parameters of the physical solution family but are varied independently in the enlarged thermodynamic state space. The mass formula yields the first law and Smarr relation in a single enthalpy representation, with the area entropy and Hawking temperature. The Kerr-Newman-AdS, asymptotically flat Kerr-Newman-NUT and nonrotating RN-NUT-AdS limits check the angular normalization and the NUT and pressure contributions. We also consider alternative NUT variables, including the conformal dual mass, and derive the corresponding changes in thermodynamic volume and conical-defect lengths. This description applies to the chosen homogeneous state space and does not require the secondary hairs to be independent asymptotic or Misner-string surface charges.
ER  -