dc.contributor.author | Kopiński, J | |
dc.contributor.author | Kroon, JAV | |
dc.date.accessioned | 2021-02-18T15:52:31Z | |
dc.date.available | 2021-02-18T15:52:31Z | |
dc.date.issued | 2021-01-15 | |
dc.identifier.issn | 2470-0010 | |
dc.identifier.uri | https://qmro.qmul.ac.uk/xmlui/handle/123456789/70409 | |
dc.description.abstract | A new spinorial strategy for the construction of geometric inequalities involving the Arnowitt-Deser-Misner mass of black hole systems in general relativity is presented. This approach is based on a second order elliptic equation (the approximate twistor equation) for a valence 1 Weyl spinor. This has the advantage over other spinorial approaches to the construction of geometric inequalities based on the Sen-Witten-Dirac equation that it allows us to specify boundary conditions for the two components of the spinor. This greater control on the boundary data has the potential of giving rise to new geometric inequalities involving the mass. In particular, it is shown that the mass is bounded from below by an integral functional over a marginally outer trapped surface (MOTS) which depends on a freely specifiable valence 1 spinor. From this main inequality, by choosing the free data in an appropriate way, one obtains a new nontrivial bounds of the mass in terms of the inner expansion of the MOTS. The analysis makes use of a new formalism for the
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decomposition of spinorial equations. | en_US |
dc.format.extent | 024057 - ? | |
dc.publisher | American Physical Society | en_US |
dc.relation.ispartof | Physical Review D | |
dc.rights | This is a pre-copyedited, author-produced version of an article accepted for publication in Physical Review D following peer review. The version of record is available https://journals.aps.org/prd/abstract/10.1103/PhysRevD.103.024057 | |
dc.title | New spinorial approach to mass inequalities for black holes in general relativity | en_US |
dc.type | Article | en_US |
dc.rights.holder | © 2021 American Physical Society | |
dc.identifier.doi | 10.1103/physrevd.103.024057 | |
pubs.issue | 2 | en_US |
pubs.notes | Not known | en_US |
pubs.volume | 103 | en_US |
rioxxterms.funder | Default funder | en_US |
rioxxterms.identifier.project | Default project | en_US |