Cover Image

Stability and rigidity of axisymmetric marginally outer trapped two-spheres

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Galloway, Gregory J., Mendes, Abraão
Format:	Preprint
Published:	2025
Subjects:	Differential Geometry General Relativity and Quantum Cosmology
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Some rigidity results for charged initial data sets
by: Galloway, Gregory J., et al.
Published: (2024)

Aspects of the geometry and topology of expanding horizons
by: Galloway, Gregory J., et al.
Published: (2024)

Area-charge inequality and local rigidity in charged initial data sets
by: Mendes, Abraão
Published: (2025)

Area-charge inequalities and rigidity of time-symmetric initial data sets
by: Cruz, Tiarlos, et al.
Published: (2025)

Symmetry and instability of marginally outer trapped surfaces
by: Booth, Ivan, et al.
Published: (2023)

Instability of marginally outer trapped surfaces from initial data set symmetry
by: Sherif, Abbas M.
Published: (2025)

A note on the Lorentzian splitting theorem
by: Galloway, Gregory J.
Published: (2025)

Rigidity results for free boundary hypersurfaces in initial data sets with boundary
by: de Almeida, Deivid, et al.
Published: (2025)

A simplified proof of a cosmological singularity theorem
by: Galloway, Gregory J., et al.
Published: (2025)

Rigidity aspects of Penrose's singularity theorem
by: Galloway, Gregory J., et al.
Published: (2024)

A CMC existence result for expanding cosmological spacetimes
by: Galloway, Gregory J., et al.
Published: (2024)

Marginally outer trapped tubes in de Sitter spacetime
by: Mars, Marc, et al.
Published: (2024)

Positive mass theorems for manifolds with ALH toroidal ends
by: Galloway, Gregory J., et al.
Published: (2026)

Initial data rigidity implies spacetime rigidity
by: Glöckle, Jonathan
Published: (2025)

Infinitesimal rigidity of Hermitian gravitational instantons
by: Andersson, Lars, et al.
Published: (2026)

Obstructions for trapped submanifolds
by: Dotti, Gustavo
Published: (2025)

A rigidity theorem for asymptotically flat static manifolds and its applications
by: Harvie, Brian, et al.
Published: (2023)

Existence of static vacuum extensions for Bartnik boundary data near Schwarzschild spheres
by: Alexakis, Spyros, et al.
Published: (2024)

On the genericity of singularities in spacetimes with weakly trapped submanifolds
by: Espinoza, Victor Luis, et al.
Published: (2024)

Genericity of singularities in spacetimes with weakly trapped submanifolds
by: Silva, Ivan Pontual Costa e, et al.
Published: (2023)

Extremal and weakly trapped submanifolds in Generalized Robertson-Walker spacetimes
by: Pelegrín, José A. S.
Published: (2024)

Mode Stability of Hermitian Instantons
by: Andersson, Lars, et al.
Published: (2024)

Stability for the 3D Riemannian Penrose inequality
by: Dong, Conghan
Published: (2024)

Stability of Euclidean 3-space for the positive mass theorem
by: Dong, Conghan, et al.
Published: (2023)

Towards Long-time Geometrization: Stability of the Double-Cusp Spacetimes Under T2-Symmetry
by: Bellati, Alejandro, et al.
Published: (2023)

Stability of Homogeneous minimal hypersurfaces in the Page space and $Y^{p,q}$ Sasaki-Einstein manifolds
by: Gherghel, Natalia, et al.
Published: (2025)

Stability of Positive Mass Theorem for Static Quasi-Local Energy of Compact (Locally) Hyperbolic Graphical Manifolds
by: Alaee, Aghil, et al.
Published: (2025)

New quasi-Einstein metrics on a two-sphere
by: Colling, Alex, et al.
Published: (2024)

Local foliations by critical surfaces of the Hawking energy and small sphere limit
by: Diaz, Alejandro Penuela
Published: (2022)

Local Well-posedenss of the Bartnik Static Extension Problem near Schwarzschild spheres
by: Ellithy, Ahmed
Published: (2024)

Curvature equations coupling symmetric tensors with a metric
by: Fox, Daniel J. F.
Published: (2021)

Physical-space estimates for axisymmetric waves on extremal Kerr spacetime
by: Giorgi, Elena, et al.
Published: (2022)

Symmetries in Riemann-Cartan Geometries
by: McNutt, David D., et al.
Published: (2024)

On the non-existence of trapped surfaces under low-regularity bounds
by: Luk, Jonathan, et al.
Published: (2022)

Formation of trapped surfaces for the Einstein--Maxwell--charged scalar field system
by: Shen, Dawei, et al.
Published: (2025)

The Stability of Minkowski Spacetime
by: Shen, Dawei
Published: (2026)

Compact Cauchy horizons admit constant surface gravity
by: Hounnonkpe, Raymond A., et al.
Published: (2025)

Foliations by critical surfaces of the Hawking energy in asymptotically flat initial data sets
by: Diaz, Alejandro Peñuela
Published: (2025)

Horizons in noncompact fill-ins of nonnegative scalar curvature
by: Miao, Pengzi, et al.
Published: (2025)

Bondi Mass, Memory Effect and Balance Law of Polyhomogeneous Spacetime
by: He, Xiaokai, et al.
Published: (2025)