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PreprintCC BY-SA 4.0arXiv

Exact Thermodynamics and Two-Horizon Relations of Four Rotating Einstein-Maxwell-Maxwell-Dilaton Embeddings

  • Hai Huang
  • Juhua Chen
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Abstract

We establish complete outer-horizon thermodynamics for four exact rotating embeddings of Kerr--Newman and Kaluza--Klein seeds in four-dimensional, asymptotically flat Einstein--Maxwell--Maxwell--dilaton theory without a scalar potential. Constant-coefficient field maps determine the allowed couplings and charge variations. We obtain single-valued mass functions and verify the first law, Smarr relation, and scalar-shift identity on the stated regular branches and finite-area extremal boundaries, including magnetic patch contributions where required. For two distinct regular horizons with positive finite areas, the horizon combinations 2T± S± and S±Ω±/π satisfy a common quadratic relation with the long-range-force parameter determined by the asymptotic mass, electromagnetic charges, and scalar charge.

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Cite

BibTeXRIS
BibTeX
@misc{huang2026exact,
  title = {{Exact Thermodynamics and Two-Horizon Relations of Four Rotating Einstein-Maxwell-Maxwell-Dilaton Embeddings}},
  author = {Hai Huang and Juhua Chen},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.06037},
  eprint = {2610.06037},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.06037},
  note = {CC BY-SA 4.0},
}
RIS
TY  - UNPB
TI  - Exact Thermodynamics and Two-Horizon Relations of Four Rotating Einstein-Maxwell-Maxwell-Dilaton Embeddings
AU  - Hai Huang
AU  - Juhua Chen
PY  - 2026
DA  - 2026/10/05
PB  - arXiv
DO  - 10.48550/arxiv.2610.06037
UR  - https://arxiv.org/abs/2610.06037
AB  - We establish complete outer-horizon thermodynamics for four exact rotating embeddings of Kerr--Newman and Kaluza--Klein seeds in four-dimensional, asymptotically flat Einstein--Maxwell--Maxwell--dilaton theory without a scalar potential. Constant-coefficient field maps determine the allowed couplings and charge variations. We obtain single-valued mass functions and verify the first law, Smarr relation, and scalar-shift identity on the stated regular branches and finite-area extremal boundaries, including magnetic patch contributions where required. For two distinct regular horizons with positive finite areas, the horizon combinations 2T_± S_± and S_±Ω_±/π satisfy a common quadratic relation with the long-range-force parameter determined by the asymptotic mass, electromagnetic charges, and scalar charge.
ER  -