A novel notion of null infinity for c-boundaries and generalized black holes
Abstract We give new definitions of null infinity and black hole in terms of causal boundaries, applicable to any strongly causal spacetime (M, g). These are meant to extend the standard ones given in terms of conformal boundaries, and use the new definitions to prove a classic result in black hole...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-09-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP09(2018)123 |
| _version_ | 1818558399787302912 |
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| author | I. P. Costa e Silva J. L. Flores J. Herrera |
| author_facet | I. P. Costa e Silva J. L. Flores J. Herrera |
| author_sort | I. P. Costa e Silva |
| collection | DOAJ |
| description | Abstract We give new definitions of null infinity and black hole in terms of causal boundaries, applicable to any strongly causal spacetime (M, g). These are meant to extend the standard ones given in terms of conformal boundaries, and use the new definitions to prove a classic result in black hole theory for this more general context: if the null infinity is regular (i.e. well behaved in a suitable sense) and (M, g) obeys the null convergence condition, then any closed trapped surface in (M, g) has to be inside the black hole region. As an illustration of this general construction, we apply it to the class of generalized plane waves, where the conformal null infinity is not always well-defined. In particular, it is shown that (generalized) black hole regions do not exist in a large family of these spacetimes. |
| first_indexed | 2024-12-14T00:11:57Z |
| format | Article |
| id | doaj.art-9b010ab1f58c4341aec4adbb137e1524 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-14T00:11:57Z |
| publishDate | 2018-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-9b010ab1f58c4341aec4adbb137e15242022-12-21T23:25:43ZengSpringerOpenJournal of High Energy Physics1029-84792018-09-012018913310.1007/JHEP09(2018)123A novel notion of null infinity for c-boundaries and generalized black holesI. P. Costa e Silva0J. L. Flores1J. Herrera2Department of Mathematics, Universidade Federal de Santa CatarinaDepartamento de Álgebra, Geometría y Topología, Facultad de Ciencias, Universidad de MálagaDepartamento de Matemáticas, Edificio Albert Einstein, Universidad de CórdobaAbstract We give new definitions of null infinity and black hole in terms of causal boundaries, applicable to any strongly causal spacetime (M, g). These are meant to extend the standard ones given in terms of conformal boundaries, and use the new definitions to prove a classic result in black hole theory for this more general context: if the null infinity is regular (i.e. well behaved in a suitable sense) and (M, g) obeys the null convergence condition, then any closed trapped surface in (M, g) has to be inside the black hole region. As an illustration of this general construction, we apply it to the class of generalized plane waves, where the conformal null infinity is not always well-defined. In particular, it is shown that (generalized) black hole regions do not exist in a large family of these spacetimes.http://link.springer.com/article/10.1007/JHEP09(2018)123Black HolesDifferential and Algebraic GeometrySpacetime Singularities |
| spellingShingle | I. P. Costa e Silva J. L. Flores J. Herrera A novel notion of null infinity for c-boundaries and generalized black holes Journal of High Energy Physics Black Holes Differential and Algebraic Geometry Spacetime Singularities |
| title | A novel notion of null infinity for c-boundaries and generalized black holes |
| title_full | A novel notion of null infinity for c-boundaries and generalized black holes |
| title_fullStr | A novel notion of null infinity for c-boundaries and generalized black holes |
| title_full_unstemmed | A novel notion of null infinity for c-boundaries and generalized black holes |
| title_short | A novel notion of null infinity for c-boundaries and generalized black holes |
| title_sort | novel notion of null infinity for c boundaries and generalized black holes |
| topic | Black Holes Differential and Algebraic Geometry Spacetime Singularities |
| url | http://link.springer.com/article/10.1007/JHEP09(2018)123 |
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