On Local Characterization Results in Geometry and Gravitation
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Publication:4607241
DOI10.1007/978-3-319-60039-0_18zbMath1386.83015OpenAlexW2759299500MaRDI QIDQ4607241
Publication date: 13 March 2018
Published in: From Riemann to Differential Geometry and Relativity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-319-60039-0_18
Riemannian manifoldSchwarzschild spacetimeKerr metricKerr-Newman metricpp-wave spacetimeKruskal spacetimeKerr-De Sitter metriclocal characterisations of metrics
Black holes (83C57) Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Exact solutions to problems in general relativity and gravitational theory (83C15) Local Riemannian geometry (53B20)
Related Items (6)
Parallel spinor flows on three-dimensional Cauchy hypersurfaces ⋮ From Riemannian to Relativistic Diffusions ⋮ On the Positive Mass Theorem for Closed Riemannian Manifolds ⋮ The Conformal Approach to Asymptotic Analysis ⋮ IDEAL characterization of isometry classes of FLRW and inflationary spacetimes ⋮ IDEAL characterization of higher dimensional spherically symmetric black holes
Cites Work
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- Separability and Killing tensors in Kerr-Taub-NUT-de Sitter metrics in higher dimensions
- A space-time characterization of the Kerr-Newman metric
- Two-symmetric Lorentzian manifolds
- Characterizations of the Kerr metric
- Killing spinor initial data sets
- Republication of: A new class of vacuum solutions of the Einstein field equations
- Curvature tensors and covariant derivatives
- A new proof of Birkhoff's theorem
- Radiation states and the problem of energy in general relativity
- The missing link: Riemann's ``Commentatio, differential geometry and tensor analysis
- ``Golden oldie: The field of a single centre in Einstein's theory of gravitation, and the motion of a particle in that field
- The end of black hole uniqueness
- The tetralogy of Birkhoff theorems
- Structure of second-order symmetric Lorentzian manifolds
- Stationary black holes: uniqueness and beyond
- A spacetime characterization of the Kerr-NUT-(A)de Sitter and related metrics
- On the discovery of Birkhoff's theorem
- On the general spherically symmetric solutions of Einstein's gravitational equations in vacuo (translation from the German original by S. Antoci and D. Liebscher).
- Comment on the paper by J. T. Jebsen reprinted in Gen. Rel. Grav. 37, No. 12, 2253--2259 (2005)
- Screen bundles of Lorentzian manifolds and some generalisations of \(pp\)-waves
- Einstein tensor and generalizations of Birkhoff's theorem
- Spacetime Ehlers group: transformation law for the Weyl tensor
- Spacetime characterizations of Λ-vacuum metrics with a null Killing 2-form
- Static solutions from the point of view of comparison geometry
- Black hole uniqueness theorems in higher dimensional spacetimes
- Killing spinors as a characterisation of rotating black hole spacetimes
- ON THE STATIC SPACETIME OF A SINGLE POINT CHARGE
- An intrinsic characterization of spherically symmetric spacetimes
- Schwarzschild and Birkhoff a la Weyl
- Some Gravitational Waves
- Maximal Extension of Schwarzschild Metric
- A note on the parameters of the Kerr–NUT–(anti-)de Sitter spacetime
- An intrinsic characterization of the Kerr metric
- Gravitational Field of a Spinning Mass as an Example of Algebraically Special Metrics
- Black Hole Uniqueness Theorems
- Exact Solutions of Einstein's Field Equations
- Uniqueness properties of the Kerr metric
- Riemann on Geometry, Physics, and Philosophy—Some Remarks
- From Riemannian to Relativistic Diffusions
- On the Positive Mass Theorem for Closed Riemannian Manifolds
- The Conformal Approach to Asymptotic Analysis
- A spacetime characterization of the Kerr metric
- An intrinsic characterization of the Schwarzschild metric
- Classification of third-order symmetric Lorentzian manifolds
- RIEMANNsche Räume mit ebenfrontiger und mit ebener Symmetrie
- A simple proof of Birkhoff's theorem for cosmological constant
- Path integral representation of spin foam models of 4D gravity
- A THEOREM ON CURVATURE TENSOR FIELDS
- Global Structure of the Kerr Family of Gravitational Fields
- Schwarzschild field inn dimensions and the dimensionality of space problem
- Exact Space-Times in Einstein's General Relativity
- The classification of spaces defining gravitational fields
- Uniqueness of smooth stationary black holes in vacuum: Small perturbations of the Kerr spaces
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