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PreprintarXiv licencearXiv

A New Approach to Black Hole Thermodynamics in General EMD-like Theories

  • Peng-Yu Wu
  • H. Lu
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Abstract

We consider general EMD-like theories involving arbitrary numbers of both Maxwell fields and dilatonic scalars. We study charged black holes and derive several algebraic and differential relations among the thermodynamic quantities, scalar charges and the non-extremal parameter. These allow us to obtain two sets of master equations of thermodynamic quantities, depending on the choice of basic variables parameterizing the system. Solutions to either set of the master equations give rise to all the thermodynamic quantities, without constructing black hole solutions. We obtain all the thermodynamic quantities perturbatively in the power series expansions of charges, which we then verify using perturbative black hole solutions up to and including the quartic order in charges.

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Cite

BibTeXRIS
BibTeX
@misc{wu2026approach,
  title = {{A New Approach to Black Hole Thermodynamics in General EMD-like Theories}},
  author = {Peng-Yu Wu and H. Lu},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.38311},
  eprint = {2609.38311},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.38311},
}
RIS
TY  - UNPB
TI  - A New Approach to Black Hole Thermodynamics in General EMD-like Theories
AU  - Peng-Yu Wu
AU  - H. Lu
PY  - 2026
DA  - 2026/09/29
PB  - arXiv
DO  - 10.48550/arxiv.2609.38311
UR  - https://arxiv.org/abs/2609.38311
AB  - We consider general EMD-like theories involving arbitrary numbers of both Maxwell fields and dilatonic scalars. We study charged black holes and derive several algebraic and differential relations among the thermodynamic quantities, scalar charges and the non-extremal parameter. These allow us to obtain two sets of master equations of thermodynamic quantities, depending on the choice of basic variables parameterizing the system. Solutions to either set of the master equations give rise to all the thermodynamic quantities, without constructing black hole solutions. We obtain all the thermodynamic quantities perturbatively in the power series expansions of charges, which we then verify using perturbative black hole solutions up to and including the quartic order in charges.
ER  -