A local rigidity theorem for minimal two-spheres in charged time-symmetric initial data set
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Publication:6078968
DOI10.1007/s11005-023-01713-8zbMath1525.53057OpenAlexW4386276316MaRDI QIDQ6078968
Abdênago A. Barros, Halyson I. Baltazar, R. Batista
Publication date: 28 September 2023
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11005-023-01713-8
Applications of differential geometry to physics (53Z05) Rigidity results (53C24) Einstein-Maxwell equations (83C22)
Cites Work
- Unnamed Item
- Hawking mass and local rigidity of minimal two-spheres in three-manifolds
- Deformations of the hemisphere that increase scalar curvature
- Rigidity of area-minimizing two-spheres in three-manifolds
- \(3+1\) formalism in general relativity. Bases of numerical relativity.
- Embedded minimal surfaces, exotic spheres, and manifolds with positive Ricci curvature
- A simple proof of the generalization of Israel's theorem
- Existence of incompressible minimal surfaces and the topology of three dimensional manifolds with non-negative scalar curvature
- A new proof of the positive energy theorem.
- Hawking mass and local rigidity of minimal surfaces in three-manifolds
- Charged Hawking mass and local rigidity of three-manifolds
- On the uniqueness of Schwarzschild-de Sitter spacetime
- Bounds on area and charge for marginally trapped surfaces with a cosmological constant
- On the mass of static metrics with positive cosmological constant: I
- Coordinate Invariance and Energy Expressions in General Relativity
- A note on Fischer-Marsden’s conjecture
- On the Penrose inequality for charged black holes
- Splitting of 3-manifolds and rigidity of area-minimising surfaces
- Reissner–Nordstrøm–de Sitter manifold: photon sphere and maximal analytic extension
- Rigidity phenomena involving scalar curvature
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