Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866918109500145664 |
|---|---|
| author | Manzano, Miguel Ohanyan, Argam Steinbauer, Roland |
| author_facet | Manzano, Miguel Ohanyan, Argam Steinbauer, Roland |
| contents | The cut-and-paste method is a procedure for constructing null thin shells by matching two regions of the same spacetime across a null hypersurface. Originally proposed by Penrose, it has so far allowed to describe purely gravitational and null-dust shells in constant-curvature backgrounds. In this paper, we extend the cut-and-paste method to null shells with arbitrary gravitational/matter content. To that aim, we first derive a locally Lipschitz continuous form of the metric of the spacetime resulting from the most general matching of two constant-curvature spacetimes with totally geodesic null boundaries, and then obtain the coordinate transformation that turns this metric into the cut-and-paste form with a Dirac-delta term. The paper includes an example of a null shell with non-trivial energy density, energy flux and pressure in Minkowski space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_00231 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux Manzano, Miguel Ohanyan, Argam Steinbauer, Roland Differential Geometry General Relativity and Quantum Cosmology Mathematical Physics 53B30, 83C20, 83C25, 83C35 The cut-and-paste method is a procedure for constructing null thin shells by matching two regions of the same spacetime across a null hypersurface. Originally proposed by Penrose, it has so far allowed to describe purely gravitational and null-dust shells in constant-curvature backgrounds. In this paper, we extend the cut-and-paste method to null shells with arbitrary gravitational/matter content. To that aim, we first derive a locally Lipschitz continuous form of the metric of the spacetime resulting from the most general matching of two constant-curvature spacetimes with totally geodesic null boundaries, and then obtain the coordinate transformation that turns this metric into the cut-and-paste form with a Dirac-delta term. The paper includes an example of a null shell with non-trivial energy density, energy flux and pressure in Minkowski space. |
| title | Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux |
| topic | Differential Geometry General Relativity and Quantum Cosmology Mathematical Physics 53B30, 83C20, 83C25, 83C35 |
| url | https://arxiv.org/abs/2508.00231 |