On the Relationship of the quasilocal angular momentum to Interior Flow Analysis
Fuente:
Zenodo
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Recurso digital |
| Publié: |
Zenodo
2026
|
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866901235089539072 |
|---|---|
| author | Rayan D. Peru |
| author_facet | Rayan D. Peru |
| contents | <p>A crucial feature of Theorem 4.4 is that it requires <em>only</em> boundary data, no knowledge of the interior of the excised region <span><span>V</span></span> is needed. The angular momentum change is completely determined by the integral of <span><span><span><span>α</span><span>d</span><span>β</span><span>∧</span></span><span><span><span>ξ</span><span><span><span><span><span><span>♭</span></span></span></span></span></span></span></span></span></span> over <span><span>∂V</span><span><span><span>∂</span><span>V</span></span></span></span>. This is not circular; it reflects the fact that angular momentum, when properly defined via the Clebsch-Komar identity, is a quasilocal charge. One does not need to solve the full 3+1 evolution equations or verify entropy monotonicity in the interior to know how angular momentum behaves across surgery. The Surgical Flux Theorem reveals that angular momentum is <em>topologically blind, </em> it depends only on the boundary ∂V, not on the interior topology or its replacement. The surgical procedure could excise a region of any topology (a ball, a torus, a disjoint union) and replace it with any interior satisfying the matching conditions; the angular momentum change is <em>identical</em> as long as the boundary data is fixed. Thus, for angular momentum accounting, the intricate topology of surgical modification is entirely redundant. The boundary flux tells the complete story.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18722423 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | On the Relationship of the quasilocal angular momentum to Interior Flow Analysis Rayan D. Peru <p>A crucial feature of Theorem 4.4 is that it requires <em>only</em> boundary data, no knowledge of the interior of the excised region <span><span>V</span></span> is needed. The angular momentum change is completely determined by the integral of <span><span><span><span>α</span><span>d</span><span>β</span><span>∧</span></span><span><span><span>ξ</span><span><span><span><span><span><span>♭</span></span></span></span></span></span></span></span></span></span> over <span><span>∂V</span><span><span><span>∂</span><span>V</span></span></span></span>. This is not circular; it reflects the fact that angular momentum, when properly defined via the Clebsch-Komar identity, is a quasilocal charge. One does not need to solve the full 3+1 evolution equations or verify entropy monotonicity in the interior to know how angular momentum behaves across surgery. The Surgical Flux Theorem reveals that angular momentum is <em>topologically blind, </em> it depends only on the boundary ∂V, not on the interior topology or its replacement. The surgical procedure could excise a region of any topology (a ball, a torus, a disjoint union) and replace it with any interior satisfying the matching conditions; the angular momentum change is <em>identical</em> as long as the boundary data is fixed. Thus, for angular momentum accounting, the intricate topology of surgical modification is entirely redundant. The boundary flux tells the complete story.</p> |
| title | On the Relationship of the quasilocal angular momentum to Interior Flow Analysis |
| url | https://doi.org/10.5281/zenodo.18722423 |