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PreprintCC BY 4.0arXiv

On more general Gibbons-Hawking-York boundary terms for f(R) gravity

Abstract

More general boundary conditions are introduced - with respect to known literature - which produce a well-posed stationary action principle in f(R) gravity. These conditions encompass the known cases, thus enlarging the space of admissible solutions. The corresponding Gibbons-Hawking-York boundary terms are explicitly computed and hold for any analytic f(R). The perspectives of application concerning the scalar-tensor mapping and the laws of black-hole thermodynamics are outlined in the conclusions.

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BibTeX
@misc{scali2026more,
  title = {{On more general Gibbons-Hawking-York boundary terms for f(R) gravity}},
  author = {Federico Scali and Sergio Luigi Cacciatori and Matteo Galaverni and Gabriele Gionti},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.37692},
  eprint = {2609.37692},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.37692},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - On more general Gibbons-Hawking-York boundary terms for f(R) gravity
AU  - Federico Scali
AU  - Sergio Luigi Cacciatori
AU  - Matteo Galaverni
AU  - Gabriele Gionti
PY  - 2026
DA  - 2026/09/29
PB  - arXiv
DO  - 10.48550/arxiv.2609.37692
UR  - https://arxiv.org/abs/2609.37692
AB  - More general boundary conditions are introduced - with respect to known literature - which produce a well-posed stationary action principle in f(R) gravity. These conditions encompass the known cases, thus enlarging the space of admissible solutions. The corresponding Gibbons-Hawking-York boundary terms are explicitly computed and hold for any analytic f(R). The perspectives of application concerning the scalar-tensor mapping and the laws of black-hole thermodynamics are outlined in the conclusions.
ER  -