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  • Articles  (5)
  • Articles: DFG German National Licenses  (5)
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  • Articles  (5)
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  • 1
    Electronic Resource
    Electronic Resource
    Ein Satz über geodätische Verbindbarkeit in normalhyperbolischen Räumen (1967)
    Springer
    Communications in mathematical physics 4 (1967), S. 324-330 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract Under certain conditions, two points of a normal hyperbolic manifold joined by a time-like curve can be joined by a time-like geodesic. These conditions are discussed, and some applications are given.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01653646
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  • 2
    Electronic Resource
    Electronic Resource
    Smoothing and extending cosmic time functions (1977)
    Springer
    General relativity and gravitation 8 (1977), S. 815-831 
    Details
    ISSN: 1572-9532
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Any continuous time function on aC k space-timeV (i.e., a scalar onV that increases along any causal curve) can be approximated by smoothC k time functions. A time function defined on a (bounded) subset of a stably causalV can be extended to a time function on the whole ofV.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00759586
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  • 3
    Electronic Resource
    Electronic Resource
    On characteristic initial-value and mixed problems (1977)
    Springer
    General relativity and gravitation 8 (1977), S. 259-301 
    Details
    ISSN: 1572-9532
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Existence and uniqueness are proved for certain initial-value problems for hyperbolic systems of second-order differential equations, each having the same principal partg ab δ a δ b (whereg ab is indefinite). The initial data are given on two intersecting hypersurfaces H1 andH 2 one of which-sayH 1-is a characteristic surface. The other surface,H 2, is permitted to be spacelike, timelike, or characteristic. For Einstein's vacuum field equations we restrict ourselves to anH 2 that is characteristic. Unlike the Cauchy problem, the data have to be necessarily of a considerably higher differentiability class (Sobolev classW 2m−1) than the solution (Sobolev classW m ). On the other hand, in the mixed problem (where one of the surfaces is spacelike) corner conditions have to be fulfilled. The occurrence of constraint equations for Einstein's metric field and for harmonic coordinates can be prevented by solving certain ordinary differential “propagation” equations.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00765812
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  • 4
    Electronic Resource
    Electronic Resource
    The causal boundary of space-times (1971)
    Springer
    General relativity and gravitation 1 (1971), S. 247-259 
    Details
    ISSN: 1572-9532
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A definition of a causal boundary $$\dot V$$ is given by assigning a future and a past endpoint to any non-extensible timelike or null line. A topology and a partial ordering can be introduced on $$\bar V: = \dot V \cup V$$ . The usual conditions for the causal structure can be formulated as properties of $$\dot V$$ . This boundary is compared with other types of boundaries.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00759536
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  • 5
    Electronic Resource
    Electronic Resource
    Naked singularities and cosmic censorship: Comment on the current situation (1979)
    Springer
    General relativity and gravitation 10 (1979), S. 1065-1067 
    Details
    ISSN: 1572-9532
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00776539
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