Ciência-IUL
Publicações
Descrição Detalhada da Publicação
On the global uniqueness for the Einstein–Maxwell-scalar field system with a cosmological constant: part 3. Mass inflation and extendibility of the solutions
Título Revista
Annals of PDE
Ano (publicação definitiva)
2017
Língua
Inglês
País
Suíça
Mais Informação
Web of Science®
Esta publicação não está indexada na Web of Science®
Scopus
Google Scholar
Abstract/Resumo
This paper is the third part of a trilogy dedicated to the following problem: given spherically symmetric characteristic initial data for the Einstein–Maxwell-scalar field system with a cosmological constant ?, with the data on the outgoing initial null hypersurface given by a subextremal Reissner–Nordström black hole event horizon, study the future extendibility of the corresponding maximal globally hyperbolic development as a “suitably regular” Lorentzian manifold. In the first part [7] of this series we established the well posedness of the characteristic problem, whereas in the second part [8] we studied the stability of the radius function at the Cauchy horizon. In this third and final paper we show that, depending on the decay rate of the initial data, mass inflation may or may not occur. When the mass is controlled, it is possible to obtain continuous extensions of the metric across the Cauchy horizon with square integrable Christoffel symbols. Under slightly stronger conditions, we can bound the gradient of the scalar field. This allows the construction of (non-isometric) extensions of the maximal development which are classical solutions of the Einstein equations. Our results provide evidence against the validity of the strong cosmic censorship conjecture when ?>0.
Agradecimentos/Acknowledgements
--
Palavras-chave
Einstein equations,Black holes,Strong cosmic censorship,Cauchy horizon,Scalar field,Spherical symmetry
Classificação Fields of Science and Technology
- Matemáticas - Ciências Naturais
- Ciências Físicas - Ciências Naturais
Registos de financiamentos
Referência de financiamento | Entidade Financiadora |
---|---|
UID/GES/00315/2013 | Fundação para a Ciência e a Tecnologia |
UID/MAT/04459/2013 | Fundação para a Ciência e a Tecnologia |
PTDC/MAT-ANA/1275/2014 | Fundação para a Ciência e a Tecnologia |
PTDC/MAT/114397/2009 | Fundação para a Ciência e a Tecnologia |
UTA_CMU/MAT/0007/2009 | Fundação para a Ciência e a Tecnologia |