Determination of the spacetime from local time measurements
DOI10.1007/s00208-015-1286-9zbMath1341.83004arXiv1412.1350OpenAlexW1564630608WikidataQ109996015 ScholiaQ109996015MaRDI QIDQ289839
Matti Lassas, Yang Yang, Lauri Oksanen
Publication date: 31 May 2016
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1412.1350
spacetimesubmanifoldjetgeodesically completeLorentzian spacetimeEinstein-scalar field equationFermi coordinateslocal time measurementrigidity problemscalar curvature singularitiestime separation function
Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Space-time singularities, cosmic censorship, etc. (83C75) Kaluza-Klein and other higher-dimensional theories (83E15) PDEs in connection with relativity and gravitational theory (35Q75) Equations of motion in general relativity and gravitational theory (83C10) Approximation procedures, weak fields in general relativity and gravitational theory (83C25)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Tensor tomography on surfaces
- Boundary regularity for the Ricci equation, geometric convergence, and Gel'fand's inverse boundary problem
- On local and global existence of Killing vector-fields
- Local Lens rigidity with incomplete data for a class of non-simple Riemannian manifolds
- Rigidity for surfaces of non-positive curvature
- Full-wave invisibility of active devices at all frequencies
- Inverse spectral problems on a closed manifold
- Boundary rigidity and filling volume minimality of metrics close to a flat one
- Inverse hyperbolic problems and optical black holes
- Analyticity of strictly static and strictly stationary, inheriting and non-inheriting Einstein-Maxwell solutions
- Filling Riemannian manifolds
- Rigidity for metrics with the same lengths of geodesics
- Sur la rigidite imposee par la longueur des geodesiques
- Well-posed quasi-linear second-order hyperbolic systems with applications to nonlinear elastodynamics and general relativity
- Semiglobal boundary rigidity for Riemannian metrics
- On nonuniqueness for Calderón's inverse problem
- Inverse problems for Lorentzian manifolds and non-linear hyperbolic equations
- On the length of the geodesics of a metric of negative curvature on the disc.
- Entropy and rigidity of locally symmetric spaces of strictly negative curvature
- The Dirichlet-to-Neumann map for complete Riemannian manifolds with boundary
- Two dimensional compact simple Riemannian manifolds are boundary distance rigid
- Inverse problem for the Riemannian wave equation with Dirichlet data and Neumann data on disjoint sets
- The Einstein evolution equations as a first-order quasi-linear symmetric hyperbolic system. I
- Artificial black holes
- Optical Conformal Mapping
- Controlling Electromagnetic Fields
- Holonomy and the Lie Algebra of Infinitesimal Motions of a Riemannian Manifold
- On the Analyticity of the Solutions of Analytic Non-Linear Elliptic Systems of Partial Differential Equations: Part I. Analyticity in the Interior
- Determining anisotropic real-analytic conductivities by boundary measurements
- Cloaking Devices, Electromagnetic Wormholes, and Transformation Optics
- Some regularity theorems in riemannian geometry
- To the reconstruction of a riemannian manifold via its spectral data (Bc–Method)
- General Relativity for Mathematicians
- On determining a Riemannian manifold from the Dirichlet-to-Neumann map
- Nucleation and mean curvature flow
- Local boundary rigidity of a compact Riemannian manifold with curvature bounded above
- Boundary and Lens Rigidity of Lorentzian Surfaces
- On the local extension of Killing vector-fields in Ricci flat manifolds
- Boundary rigidity and stability for generic simple metrics
- Invisibility and inverse problems
- Maximal Analytic Extension of the Kerr Metric
- The Large Scale Structure of Space-Time
- On stationary vacuum solutions to the Einstein equations
This page was built for publication: Determination of the spacetime from local time measurements
