Skip to content
DraconiticResearch
Search Sources API
186,546 studies31 sourcesUpdated 42 min ago
PreprintCC BY 4.0arXiv

Conserved charges and the first law of black holes for field dependent symmetry generators in the covariant phase space formalism

  • Hai-Feng Ding
Open at sourcePDFDOICite

Abstract

In this paper, we generalize the covariant phase space formalism conjugate to field dependent vectors to include internal gauge transformations when gauge fields are present. In our formalism, the symmetry generators are combination of diffeomorphisms plus internal gauge transformations and depend on the field configuration. When the field dependence of the symmetry generators is considered in the covariant phase space formalism, the first law of black hole thermodynamics is a direct result for generally invariant gravitational theories. To check the validity of our formalism, we investigate the conserved charges and the first laws of thermodynamics for a torus-like black hole in Einstein-Maxwell theory and a charged Einstein-Euler-Heisenberg AdS black hole in Einstein-Euler-Heisenberg nonlinear electrodynamics.

Related

  1. A General Manifestly Covariant Construction of Partial-Wave Amplitudes in the Rarita-Schwinger Formalism
    Hao-Jie Jing, Shu-Ming Wu, Jia-Jun Wu
    arXivPreprintarXiv licenceFull textHigh-energy & particle physicsarXiv
  2. Thermodynamics in symmetry-improved Cornwall-Jackiw-Tomboulis formalism: application to the low-energy effective theory of QCD
    Yuepeng Guan, Mamiya Kawaguchi, Shinya Matsuzaki +1
    arXivPreprintCC BY 4.0Full textHigh-energy & particle physicsarXiv
  3. From Symmetry to Secrecy: Covariant Classical--Quantum Wiretap Channels
    Masahito Hayashi, Farzin Salek
    arXivPreprintarXiv licenceFull textGeneral mathematicsQuantum physics & quantum informationarXiv
  4. Covariant Phase Space and Carroll-Weyl χ Symmetry of Carroll Non-BPS Dp-branes
    Limin Zeng
    arXivPreprintarXiv licenceFull textMathematical physicsHigh-energy & particle physicsarXiv
  5. Multipole tomography of atomic nuclei with symmetry-conserved theories
    X. Sun, J. Dobaczewski, W. Nazarewicz +1
    arXivPreprintarXiv licenceFull textHigh-energy & particle physicsNuclear physicsarXiv

Cite

BibTeXRIS
BibTeX
@misc{ding2026conserved,
  title = {{Conserved charges and the first law of black holes for field dependent symmetry generators in the covariant phase space formalism}},
  author = {Hai-Feng Ding},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.27454},
  eprint = {2609.27454},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.27454},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Conserved charges and the first law of black holes for field dependent symmetry generators in the covariant phase space formalism
AU  - Hai-Feng Ding
PY  - 2026
DA  - 2026/09/29
PB  - arXiv
DO  - 10.48550/arxiv.2609.27454
UR  - https://arxiv.org/abs/2609.27454
AB  - In this paper, we generalize the covariant phase space formalism conjugate to field dependent vectors to include internal gauge transformations when gauge fields are present. In our formalism, the symmetry generators are combination of diffeomorphisms plus internal gauge transformations and depend on the field configuration. When the field dependence of the symmetry generators is considered in the covariant phase space formalism, the first law of black hole thermodynamics is a direct result for generally invariant gravitational theories. To check the validity of our formalism, we investigate the conserved charges and the first laws of thermodynamics for a torus-like black hole in Einstein-Maxwell theory and a charged Einstein-Euler-Heisenberg AdS black hole in Einstein-Euler-Heisenberg nonlinear electrodynamics.
ER  -