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PreprintCC BY 4.0arXiv

Spacetime Bartnik Mass Positivity and Temporal Monotonicity for Black Holes

  • Lars Andersson
  • Marcus Khuri
  • Marc Mars
  • Walter Simon
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Abstract

We define a quasilocal mass of Bartnik type, and establish its positivity and temporal monotonicity properties for two classes of domains associated with black holes. More precisely, we first show that the quasilocal mass is strictly positive for spacelike hypersurfaces that are: compact with apparent horizon boundary or noncompact with asymptotically flat ends and containing an apparent horizon in any admissible extension. Secondly, we show that the quasilocal mass is monotonically nondecreasing in time within evolutionary scenarios related to the two aforementioned settings.

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Cite

BibTeXRIS
BibTeX
@misc{andersson2026spacetime,
  title = {{Spacetime Bartnik Mass Positivity and Temporal Monotonicity for Black Holes}},
  author = {Lars Andersson and Marcus Khuri and Marc Mars and Walter Simon},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2606.07781},
  eprint = {2606.07781},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2606.07781},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Spacetime Bartnik Mass Positivity and Temporal Monotonicity for Black Holes
AU  - Lars Andersson
AU  - Marcus Khuri
AU  - Marc Mars
AU  - Walter Simon
PY  - 2026
DA  - 2026/09/27
PB  - arXiv
DO  - 10.48550/arxiv.2606.07781
UR  - https://arxiv.org/abs/2606.07781
AB  - We define a quasilocal mass of Bartnik type, and establish its positivity and temporal monotonicity properties for two classes of domains associated with black holes. More precisely, we first show that the quasilocal mass is strictly positive for spacelike hypersurfaces that are: compact with apparent horizon boundary or noncompact with asymptotically flat ends and containing an apparent horizon in any admissible extension. Secondly, we show that the quasilocal mass is monotonically nondecreasing in time within evolutionary scenarios related to the two aforementioned settings.
ER  -