Idioma:

Intrinsic flat stability of the positive mass theorem for asymptotically hyperbolic graphical manifolds

Cabrera Pacheco, Armando J. ; Graf, Melanie ; Perales, Raquel

General relativity and gravitation, 2023-11, Vol.55 (11), Article 132 [Periódico revisado por pares]

Texto completo disponível

Citações Citado por

Título:
Intrinsic flat stability of the positive mass theorem for asymptotically hyperbolic graphical manifolds
Autor: Cabrera Pacheco, Armando J. ; Graf, Melanie ; Perales, Raquel
Assuntos: Astronomy ; Astrophysics and Cosmology ; Asymptotic properties ; Classical and Quantum Gravitation ; Differential Geometry ; Hyperbolic coordinates ; Manifolds ; Mathematical and Computational Physics ; Physics ; Physics and Astronomy ; Quantum Physics ; Relativity Theory ; Rigidity ; Stability ; Theorems ; Theoretical
É parte de: General relativity and gravitation, 2023-11, Vol.55 (11), Article 132
Descrição: The rigidity of the Riemannian positive mass theorem for asymptotically hyperbolic manifolds states that the total mass of such a manifold is zero if and only if the manifold is isometric to the hyperbolic space. This leads to study the stability of this statement, that is, if the total mass of an asymptotically hyperbolic manifold is almost zero, is this manifold close to the hyperbolic space in any way? Motivated by the work of Huang, Lee and Sormani for asymptotically flat graphical manifolds with respect to intrinsic flat distance, we show the intrinsic flat stability of the positive mass theorem for a class of asymptotically hyperbolic graphical manifolds by adapting the positive answer to this question provided by Huang, Lee and the third named author.
Editor: New York: Springer US
Idioma: Inglês

Voltar para lista de resultados