scientific article; zbMATH DE number 862955

Kevin L. Easley, John K. Beem, Paul E. Ehrlich

Publication date: 2 April 1996

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

Morse theory geodesics singularity causality global Lorentzian geometry applications in general relativity spacetime relativity

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Research exposition (monographs, survey articles) pertaining to relativity and gravitational theory (83-02) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02)

Related Items (only showing first 100 items - show all)

Geodesic structure of standard static space--times. ⋮ Comparison theorems on weighted Finsler manifolds and spacetimes with \(\epsilon\)-range ⋮ Existence of CMC Cauchy surfaces from a spacetime curvature condition ⋮ On the Cauchy problem for Friedrichs systems on globally hyperbolic manifolds with timelike boundary ⋮ On lightlike geometry of indefinite Sasakian statistical manifolds ⋮ Lorentzian Calderón problem under curvature bounds ⋮ Inverse problems for semilinear wave equations on Lorentzian manifolds ⋮ The Hawking-Penrose singularity theorem for \(C^{1,1}\)-Lorentzian metrics ⋮ The space of light rays: causality and \(L\)-boundary ⋮ Global regularity for the 2+1 dimensional equivariant Einstein-wave map system ⋮ Curvature-dimension bounds for Lorentzian splitting theorems ⋮ The cosmological time functions and lightlike rays ⋮ The existence of gradient Yamabe solitons on spacetimes ⋮ Some other ``no hole spacetimes properties are unstable too ⋮ Differential geometric aspects of causal structures ⋮ Conformally embedded spacetimes and the space of null geodesics ⋮ Helix surfaces and slant helices in the three-dimensional anti-de Sitter space ⋮ Hausdorff closed limits and rigidity in Lorentzian geometry ⋮ Some remarks on the \(C^0\)-(in)extendibility of spacetimes ⋮ Spacelike hypersurfaces immersed in weighted standard static spacetimes: uniqueness, nonexistence and stability ⋮ On weakly cyclic Z symmetric spacetimes ⋮ Geodesics in the Heisenberg group \(H ^{n }\) with a Lorentzian metric ⋮ Weak solutions on Lorentzian 2-tori ⋮ Gravitational field equations on Fefferman space-times ⋮ On gradient Yamabe solitons conformal to a pseudo-Euclidian space ⋮ Redshift and contact forms ⋮ Symmetries of \(f\)-associated standard static spacetimes and applications ⋮ An equivalence of Finslerian relativistic theories ⋮ Dynamical locality and covariance: what makes a physical theory the same in all spacetimes? ⋮ Dynamical locality of the free scalar field ⋮ Singularities and conjugate points in FLRW spacetimes ⋮ Wind Riemannian spaceforms and Randers-Kropina metrics of constant flag curvature ⋮ Volume comparison for hypersurfaces in Lorentzian manifolds and singularity theorems ⋮ A gravitational collapse singularity theorem consistent with black hole evaporation ⋮ Completeness of the trajectories of particles coupled to a general force field ⋮ On geometric analysis of the dynamics of volumetric expansion and its applications to general relativity ⋮ About the parabolicity of trapped submanifolds in standard static spacetimes ⋮ Semi-slant warped product submanifolds of a Kenmotsu manifold ⋮ Generally covariant \(N\)-particle dynamics ⋮ Gravitational superenergy tensor. ⋮ Inextendibility of spacetimes and Lorentzian length spaces ⋮ Spacelike hypersurfaces in standard static spacetimes ⋮ The existence of smooth solutions in q-models ⋮ Some ``No hole spacetime properties are unstable ⋮ Extremal and weakly trapped submanifolds in generalized Robertson-Walker spacetimes ⋮ On generalized quasi Einstein standard static spacetimes ⋮ Global viscosity solutions for eikonal equations on class A Lorentzian 2-tori ⋮ \(\mathcal{N}=1\) geometric supergravity and chiral triples on Riemann surfaces ⋮ The stack of Yang-Mills fields on Lorentzian manifolds ⋮ Timelike completeness as an obstruction to \(C^{0}\)-extensions ⋮ Lorentzian length spaces ⋮ The implementation, interpretation, and justification of likelihoods in cosmology ⋮ Structure of globally hyperbolic spacetimes-with-timelike-boundary ⋮ The globally hyperbolic metric splitting for non-smooth wave-type space-times ⋮ A new approach for uniqueness of complete maximal hypersurfaces in spatially parabolic GRW spacetimes ⋮ Causal conditions fail along a null geodesic ⋮ An evolution equation approach to the Klein-Gordon operator on curved spacetime ⋮ Almost isometries of non-reversible metrics with applications to stationary spacetimes ⋮ On the geometry of complete spacelike hypersurfaces in the anti-de Sitter space ⋮ Aubry-Mather theory for Lorentzian manifolds ⋮ The causal set approach to quantum gravity ⋮ Lorentzian causality theory ⋮ Special standard static space-times ⋮ On a class of gradient almost Ricci solitons ⋮ Causal properties of Kaluza-Klein metrics. ⋮ Gravitational lensing from a spacetime perspective ⋮ The contact structure on the space of null geodesics of causally simple spacetimes ⋮ Area maximizing surfaces in Lorentzian spaces ⋮ Causality and Legendrian linking for higher dimensional spacetimes ⋮ On quasi-Einstein sequential warped product manifolds ⋮ Applications of cone structures to the anisotropic rheonomic Huygens' principle ⋮ A novel notion of null infinity for c-boundaries and generalized black holes ⋮ The mixed scalar curvature of almost-product metric-affine manifolds. II ⋮ A general-relativistic Fermat principle for extended light sources and extended receivers ⋮ On the geometry of generalized Robertson-Walker spacetimes: geodesics. ⋮ On the spin-rotation-gravity coupling ⋮ A family of multiply warped product semi-Riemannian Einstein metrics ⋮ Optimal results in Lorentzian Aubry-Mather theory ⋮ On global hyperbolicity of spacetimes: some recent advances and open problems ⋮ Rigidity results for complete spacelike submanifolds in plane fronted waves ⋮ Geodesic connectedness and conjugate points in GRW space-times ⋮ On the geodesical connectedness for a class of semi-Riemannian manifolds ⋮ Møller operators and Hadamard states for Dirac fields with MIT boundary conditions ⋮ Causal completions as Lorentzian pre-length spaces ⋮ Penrose's 1965 singularity theorem: from geodesic incompleteness to cosmic censorship ⋮ Lorentzian Gromov-Hausdorff theory and finiteness results ⋮ Globally hyperbolic spacetimes: slicings, boundaries and counterexamples ⋮ Non-self-adjointness of the Klein-Gordon operator on a globally hyperbolic and geodesically complete manifold: an example ⋮ An inverse problem for the relativistic Boltzmann equation ⋮ Inverse problem for Einstein-scalar field equations ⋮ Magnetic trajectories in Killing magnetic backgrounds framed in 3D \(pp\)-waves ⋮ Lorentzian area and volume estimates for integral mean curvature bounds ⋮ Lightlike hypersurfaces and time-minimizing geodesics in cone structures ⋮ The half-space model of pseudo-hyperbolic space ⋮ The stability of abstract boundary essential singularities ⋮ Lorentzian metrics null-projectively related to semi-Riemannian metrics ⋮ Constant scalar curvature and warped product globally null manifolds ⋮ Normal geodesics in stationary Lorentzian manifolds with unbounded coefficients ⋮ A local analytic characterization of Schwarzschild metrics ⋮ Remarks on the geodesically completeness and the smoothing effect on asymptotically Minkowski spacetimes

This page was built for publication: