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  • 11
    Electronic Resource
    Electronic Resource
    The metric in a static cylindrical elastic medium and in an empty rotating frame as solutions of Einstein's field equations (1982)
    Springer
    Foundations of physics 12 (1982), S. 509-520 
    Details
    ISSN: 1572-9516
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Using the Weyl-type canonical coordinates, an integration of Einstein's field equations in the cylindrosymmetric case considered by Kurşunoğlu is reexamined. It is made clear that the resulting metric is not describing the spacetime in a rotating frame, but in astatic cylindrical elastic medium. The conclusion of Kurşunoğlu that “for an observer on a rotating disk there is no way of escape from a curved spacetime” is therefore not valid. The metric in an empty rotating frame is found as a solution of Einstein's field equations, and is not orthogonal. It is shown that the corresponding orthogonal solution represents spacetime in an inertial frame expressed in cylindrical coordinates. Introducing a noncoordinate basis, the metric in a rotating frame is given the static form of Kurşunoğlu's solution. The essential role played by the nonvanishing structure coefficients in this case is made clear.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00729998
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  • 12
    Electronic Resource
    Electronic Resource
    Relativistic description of a rotating disk with angular acceleration (1979)
    Springer
    Foundations of physics 9 (1979), S. 353-369 
    Details
    ISSN: 1572-9516
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A rotating disk with angular acceleration is given a relativistic description as observed from the rotating rest frameR of the disk. It is shown how a non-Euclidean intrinsic spatial geometry develops inR, as the disk gets an angular velocity. The explanation of this as given by anR-observer is discussed. A recent description of the geometry inR presented by Grünbaum and Janis is criticized. The motion of light as described by use of coordinate clocks inR is discussed in connection with some recent work by R. C. Jennison and coworkers. The significance of the difference between directed signals and circular waves when clocks inR are to be synchronized by means of light emitted from the axis inR is made clear.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00708527
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  • 13
    Electronic Resource
    Electronic Resource
    The consistency of the postulates of special relativity (1976)
    Springer
    Foundations of physics 6 (1976), S. 677-680 
    Details
    ISSN: 1572-9516
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract In a recent article in this journal, Kingsley has tried to show that the postulates of special relativity contradict each other. Here we show that the arguments of Kingsley are invalid because of an erroneous appeal to symmetry in a non-symmetric situation. The consistency of the postulates of special relativity and the relativistic kinematics deduced from them is restated.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00708946
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  • 14
    Electronic Resource
    Electronic Resource
    Marinov's spacetime theory and gravitational frequency shift (1977)
    Springer
    Foundations of physics 7 (1977), S. 927-930 
    Details
    ISSN: 1572-9516
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract It is shown that the equation deduced by Marinov for the gravitational frequency shift does not follow from his assumptions. The correct equation is deduced. It is pointed out that the result of Marinov's absolute spacetime theory concerning the gravitational frequency shift is contained in general relativity as an approximate description. The need for experiments testing the validity of Marinov's measurements is emphasized.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00708514
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  • 15
    Electronic Resource
    Electronic Resource
    Poincaré stress and the Reissner-Nordström repulsion (1988)
    Springer
    General relativity and gravitation 20 (1988), S. 123-129 
    Details
    ISSN: 1572-9532
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The Reissner-Nordström repulsion is shown to be a consequence of Poincaré stresses in a static, charged object. The strong energy condition implies that the Reissner-Nordström repulsions do not stop a neutral test particle, falling freely from rest at infinity in the fields of a charged body, before it hits the surface of the body. However, if the particle falls from rest at a sufficiently small height above the surface of the body, it will not reach the surface due to the Reissner-Nordström repulsion.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00759322
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  • 16
    Electronic Resource
    Electronic Resource
    Translational inertial dragging (1989)
    Springer
    General relativity and gravitation 21 (1989), S. 105-124 
    Details
    ISSN: 1572-9532
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The electrical field inside a uniformly charged, slowly accelerated spherical shell is calculated. The result is used to find the inertial translational dragging field inside a slowly accelerated spherical shell of dust particles, according to the linearized gravitational field equations. The relevance of this effect in connection with Mach's principle and the principle of relativity is discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00761081
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  • 17
    Electronic Resource
    Electronic Resource
    Special-relativistic resolution of Ehrenfest's paradox: Comments on some recent statements by T. E. Phipps, Jr. (1981)
    Springer
    Foundations of physics 11 (1981), S. 623-631 
    Details
    ISSN: 1572-9516
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract It is shown how a consistent kinematic resolution of Ehrenfest's paradox may be given in accordance with the special theory of relativity. Some statements by T. E. Phipps, Jr., connected with these matters, are commented upon. Problems connected with the relation between stress and strain are solved by a manifestly covariant formulation of Hooke's law.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00726939
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  • 18
    Electronic Resource
    Electronic Resource
    Space-time in ordered electromagnetic radiation outside a massive plane (1983)
    Springer
    General relativity and gravitation 15 (1983), S. 315-319 
    Details
    ISSN: 1572-9532
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The Einstein-Maxwell equations are solved with an energy-momentum tensor corresponding to the field of a standing electromagnetic wave outside a massive plane, in the limit where the test particle is much larger than the wavelength of the electromagnetic field. Physical properties of the solution are discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00759159
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  • 19
    Electronic Resource
    Electronic Resource
    Static charged dust in general relativity (1985)
    Springer
    General relativity and gravitation 17 (1985), S. 649-658 
    Details
    ISSN: 1572-9532
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Solutions of the Einstein-Maxwell equations for static charged dust are discussed. Contrary to what has been asserted earlier it is found that cylindrically symmetric and plane symmetric solutions with the following properties, exist: (a) They are regular in the interior region; (b) the mass density is positive and vanishes at the boundary; (c) the metric, its first derivate, and the electrical field strength are continuous at the boundary; (d) the solutions are mirror symmetric in the plane symmetric case.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00763025
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  • 20
    Electronic Resource
    Electronic Resource
    The weight of extended bodies in a gravitational field with flat spacetime (1979)
    Springer
    Foundations of physics 9 (1979), S. 501-514 
    Details
    ISSN: 1572-9516
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Einstein's gravitational field equations in empty space outside a massive plane with infinite extension give a class of solutions describing a field with flat spacetime giving neutral, freely moving particles an acceleration. This points to the necessity of defining the concept “gravitational field” not simply by the nonvanishing of the Riemann curvature tensor, but by the nonvanishing of certain elements of the Christoffel symbols, called the physical elements, or the nonvanishing of the Riemann curvature tensor. The tidal component of a gravitational field is associated with a nonvanishing Riemann tensor, while the nontidal components are associated with nonvanishing physical elements of the Christoffel symbols. Spacetime in a nontidal gravitational field is flat. Such a field may be separated into a homogeneous and a rotational component. In order to exhibit the physical significance of these components in relation to their transformation properties, coordinate transformations inside a given reference frame are discussed. The mentioned solutions of Einstein's field equations lead to a metric identical to that obtained as a result of a transformation from an inertial frame to a uniformly accelerated frame. The validity of the strong principle of equivalence in extended regions for nontidal gravitational fields is made clear. An exact calculation of the weight of an extended body in a uniform gravitational field, from a global point of view, gives the result that its weight is independent of the position of the scale on the body.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00708365
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