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pro vyhledávání: '"Juan A. Valiente Kroon"'
Autor:
Juan A. Valiente Kroon
This book offers a systematic exposition of conformal methods and how they can be used to study the global properties of solutions to the equations of Einstein's theory of gravity. It shows that combining these ideas with differential geometry can el
We consider the problem of matching two spacetimes, the previous and present aeons, in the Conformal Cyclic Cosmology model. The common boundary between them inherits two sets of constraints -- one for each solution of the Einstein field equations ex
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b3eec8ed7dd1904b8269969603ee8cd3
http://arxiv.org/abs/2201.10875
http://arxiv.org/abs/2201.10875
Autor:
Juan A. Valiente Kroon, Edgar Gasperin
Publikováno v:
Class.Quant.Grav.
Class.Quant.Grav., 2022, 39 (1), pp.015014. ⟨10.1088/1361-6382/ac37ce⟩
Class.Quant.Grav., 2022, 39 (1), pp.015014. ⟨10.1088/1361-6382/ac37ce⟩
Linear zero-rest-mass fields generically develop logarithmic singularities at the critical sets where spatial infinity meets null infinity. Friedrich's representation of spatial infinity is ideally suited to study this phenomenon. These logarithmic s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ef1df980b0133a008d0943bb6a37e05e
https://hal.archives-ouvertes.fr/hal-03318854
https://hal.archives-ouvertes.fr/hal-03318854
The asymptotic BMS charges of spin-1 and spin-2 fields are studied near spatial infinity. We evaluate the charges at the critical sets where spatial infinity meets null infinity with the aim of finding the relation between the charges at future and p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f6ff96cf48afb831c93043bc84fde7d1
http://arxiv.org/abs/2112.03890
http://arxiv.org/abs/2112.03890
Publikováno v:
Pure and Applied Mathematics Quarterly. 15:785-826
Publikováno v:
Physical Review D. 103
A new spinorial strategy for the construction of geometric inequalities involving the Arnowitt-Deser-Misner (ADM) mass of black hole systems in general relativity is presented. This approach is based on a second order elliptic equation (the approxima
Autor:
Juan A. Valiente Kroon, Marica Minucci
It is shown how the extended conformal Einstein field equations and a gauge based on the properties of conformal geodesics can be used to analyse the non-linear stability of Einstein spaces with negative scalar curvature. This class of spacetimes adm
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ae99e40e3ccda36670fe1db68804c774
Publikováno v:
Annales de l'Institut Fourier
We prove the stability of de Sitter space-time as a solution to the Einstein-Vlasov system with massless particles. The semi-global stability of Minkowski space-time is also addressed. The proof relies on conformal techniques, namely Friedrich's conf
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a503b157793805c417c7e4323df235ea
https://hdl.handle.net/21.11116/0000-0003-4851-121.11116/0000-0003-484F-5
https://hdl.handle.net/21.11116/0000-0003-4851-121.11116/0000-0003-484F-5
Publikováno v:
General Relativity and Gravitation. 52
We adapt Luk's analysis of the characteristic initial value problem in General Relativity to the asymptotic characteristic problem for the conformal Einstein field equations to demonstrate the local existence of solutions in a neighbourhood of the se
Publikováno v:
Journal of Mathematical Physics. 62:102501
We make use of an improved existence result for the characteristic initial value problem for the conformal Einstein equations to show that given initial data on two null hypersurfaces N⋆ and N⋆′ such that the conformal factor (but not its gradi