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Bondi-Sachs formalism on past light cones and an analogue of the integral mass formula — arXiv:2611.08958

Source: arXiv (en)
Original: https://arxiv.org/abs/2611.08958
License (as archived): CC0-1.0
Archived: 2026-11-09T22:55:16.992Z
SHA-256 of the archived text: 8df8ec87ac449b56d3d177e3a692064e9ab42ac05f9058b5de2ce4b52d607122
Stable URL of this page: https://metraipolis.com/documento/dc_ff5f012ea68d

How to cite

Bondi-Sachs formalism on past light cones and an analogue of the integral mass formula — arXiv:2611.08958 — arXiv (en), https://arxiv.org/abs/2611.08958 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_ff5f012ea68d (Metraipolis archive dc_ff5f012ea68d, sha256 8df8ec87ac449b56d3d177e3a692064e9ab42ac05f9058b5de2ce4b52d607122)

BibTeX

@misc{dcff5f012ea68d,
  title = {Bondi-Sachs formalism on past light cones and an analogue of the integral mass formula — arXiv:2611.08958},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2611.08958},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_ff5f012ea68d; sha256 8df8ec87ac449b56d3d177e3a692064e9ab42ac05f9058b5de2ce4b52d607122},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2611.08958. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

Following a proposal that the thermodynamic aspects of general relativity can be found in the evolution of the past light cones of arbitrary worldlines, we generalize the Bondi-Sachs formalism to these surfaces. The observer may accelerate and rotate their tetrad, the spacetime may contain matter and a cosmological constant, and no symmetry is assumed. We impose regularity conditions at the vertex of each light cone and along the polar axis, including a general axial condition that allows for shear. Given a suitable prescription for the stresses of matter, the Einstein field equations can then be integrated hierarchically from data on a single light cone, and the regularity at the vertex fixes all constants of integration. The solution reveals a universal property: to first order in the observer's proper time, the evolution of the metric and of the four-momentum crossing the light cones is independent of the specific behavior of matter. As an application, we derive, for an observer immersed in matter, an analogue of the integral mass formula of black hole mechanics.

Tema degli esploratori: fisica e astronomia (elenco arXiv gr-qc, nuovi lavori del giorno).
Categorie arXiv: General Relativity and Quantum Cosmology (gr-qc) ; Mathematical Physics (math-ph).
Pagina del lavoro: https://arxiv.org/abs/2611.08958 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-11-09T22:50:15.191Z dalla pagina https://arxiv.org/list/gr-qc/new (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).