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  • Springer  (73)
  • Nature Publishing Group  (1)
  • 1
    Electronic Resource
    Electronic Resource
    [s.l.] : Nature Publishing Group
    Nature 232 (1971), S. 251-252 
    ISSN: 1476-4687
    Source: Nature Archives 1869 - 2009
    Topics: Biology , Chemistry and Pharmacology , Medicine , Natural Sciences in General , Physics
    Notes: [Auszug] In considering the above points, it must be stated that the Lomnitz law has in its favour the fact that it can explain the range over which Q has been found constant in the Earth (1 1-25 s periods). Whether it is valid to use it in explaining this constancy is another matter, and one that is open ...
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  • 2
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    Springer
    Astrophysics and space science 31 (1974), S. 341-347 
    ISSN: 1572-946X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract An approximate metric is found which represents a sphere of matter embedded in a background of dust. The use of this metric in conjunction with the Friedmann equations gives values of Λ for the three possible values ofk as Λ≃+6×10−36 (k=+1), Λ≃+3×10−35 (k=0), Λ≈+10−36 (k=−1). These values depend on data regarding clusters of galaxies, and are probably accurate to within an order of magnitude given the correctness of the assumptions on which their derivation rests.
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  • 3
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    Springer
    Astrophysics and space science 23 (1973), S. 227-255 
    ISSN: 1572-946X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract This work is divided into 13 sections and 2 appendices, and aims to elucidate the accretion mechanism, which operates via image-theory forces, whenever two interstellar dust grains come close together. Section 1 is an introduction. Section 2 proposes that the distribution of interstellar grains be taken asn(r) ∝r −4 to avoid distortion of the 3K microwave background by radiation from spinning grains. Section 3 examines each of three types of image force accretion processes, finding them to be dominant compared to radiation or gravitational forces by at least a factor of 1019. Section 4 states that only grains made of conducting material (e.g., graphite, ice, iron) are involved in image theory. Section 5 presents reasons for believing that two grains should coalesce on impact. Section 6 examines the motion of charged interstellar grains in Hi and Hii regions. Section 7 demonstrates, by way of four examples involving dust grains ofr=10−7 cm up tor=10−4 cm, that the image effects on conducting grains are not trivial, and that the dynamics involved is not to be compared at all with elementary Coulomb interaction of two changes. Section 8 concludes that accretion with not take place in Hi clouds if thermal (equipartition) velocities prevail among the dust particles. section 9 examines grain interactions in Hii regions: here, following an argument due to Spitzer, consideration is given to the case of a population of dust grains all streaming in the direction of the local magnetic field B at velocities of order 0.1 km s−1. It is shown that accretion takes place effectively, leading to the formation of interstellar ‘grit’, meaning grains of mass 10−8 to 10−7 gm, radius ≃ 0.1 mm; and leaving also a population ofr≳10−6 cm grains, which are observed in polarization and extinction measurements. The existence of the latter is now a deduction and not an ad hoc postulate, as previously, and implies a distribution of the general formn(r) ∝r mean −3 , in approximate agreement with that of Section 2. Section 10 considers the accretion mechanism as a cascade process. Section 11 shows that the existence of grains in space ofr ≃ 10−6 cm rules out an origin in supernova or galactic explosions, and supports a passive origin, perhaps in red giants or Mira variables. Section 12 discusses the implications of the results found for polarization observations and cosmogony, the latter being given a new foundation in which planets of different composition form automatically from a solar nebula. Section 13 is a conclusion.
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  • 4
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    Springer
    Astrophysics and space science 26 (1974), S. 189-197 
    ISSN: 1572-946X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The response of material to a rotating magnetic dipole, considered as primeaval, the axis of which liesin the galactic plane of a model galaxy, is examined. In the three cases of (2.1) gas gradient dominant; (2.2) magnetic pressure and gravity dominant; and (2.3) gas pressure, magnetic pressure and gravity dominant with viscosity neglected, the flow pattern is found to be always characterised by two streamers of high-velocity matter emerging in the plane of the galaxy. The accompanying density distribution suggests a ready analogy with spiral galaxies, especially of SBc and SBb type; the main implication of the hypothesis, however, is that galactic dipoles will inevitably set up density perturbations of a form suitable for the generation of spiral arms via the mechanism of density waves.
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  • 5
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    Springer
    Astrophysics and space science 28 (1974), S. 289-302 
    ISSN: 1572-946X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract When compact objects or black holes move through a fluid medium, or when turbulent plasma and magnetic fields so conspire, a gas flow is set up which closely resembles the flow of water down a plug-hole (Section 1). A similar hypothesis, but in reverse, was suggested by Jeans in 1928, and would nowadays be referred to as the white hole concept. The dynamics of the flow (Section 2) lead to expressions for the rotational velocity of the fluid far away from (2.1) and near to (2.2) the origin of the vorticity. Rotation curves derived from the model (Section 3) are closely akin to actual galactic rotation curves, but observational data on the latter are not precise enough to permit a delineation to be made between (i) flow around a singularity and (ii) flow around a non-singular sink or source. The other acceptable model, that of (iii) a spreading line vortex, is ruled out by comparison with astrophysical observations (Section 4). The basic analysis for all the models shows that the old problem of the winding-up of spiral arms can be avoided, since the galactic flow system is in a steady state. Section 5 identifies Jeans' speculation as being a hypothesis compatible with singular vortex flow and so with observation, but perhaps not with the usual interpretation of general relativity metrics, even though the requisite dual space does complete the topology in a mathematically satsifying manner. Section 6 concludes that the predictions of the hypothesis of vortex flow agree with the shape, dynamics and structure of galaxies.
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  • 6
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    Springer
    Astrophysics and space science 31 (1974), S. 333-339 
    ISSN: 1572-946X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Clusters of galaxies are approximated by the Schwarzschild interior solution (with non-zero cosmological constant) embedded in a Robertson/Walker background. The conditions that the two metrics join up smoothly and that the cluster be stable imply either (a)k=−1 with Λ lying in the range −1.1×10−27≲Λ≲1.5×10−36 (s−2), or (b)k=0. Also, superclustering on a scale larger than 0.5 Mpc is unacceptable unless Λ〈0.
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  • 7
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    Springer
    Astrophysics and space science 32 (1975), S. 305-314 
    ISSN: 1572-946X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Following the re-expression of the metric for a hierarchical cosmology in Section 1 (Introduction), the metric curvature is considered in Section 2 in showing that the hierarchy models are not, in general, related to the Robertson/Walker models even though the metrics can be made to appear superficially similar. The classes of models examined are quasi-Robertson/Walker models with Λ=0 (Section 3), quasi-Robertson/Walker models with Λ≠0 (Section 4), constant curvature (k(t)=constant) models (Section 5) and zero-curvature (k(t)=0) models (Section 6). The first group have ϱ0αt −3,S(t)αt 2 in a suitable limit; the second group have solutions expressible as incomplete elliptic integrals of the first and third kind; the next group (k(t)=const.) includes an oscillating model withϱ 0 (t)α[sin (t/2T)]−2,S(t)α[sin (t/2T)]2/3 and a model withk(t)αΛ(ϱ 0αt −2), and a model withk(t)αΛ −β 2/3(ϱ 0αe βt , β〈0); the last group comprises three models, one having Λ = 0(ϱ 0αt −2), one having Λ=−1/3T 2 where 2πT is the bounce period of the (oscillating) model, and an analogue of the de Sitter Universe with $$\varrho _0 (t)\alpha e^{ - \sqrt {3\Lambda t} } $$ and $$S(t)\alpha e^{ - \sqrt {(\Lambda /3)t} } $$ . Section 7 contains our conclusions.
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  • 8
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    Astrophysics and space science 32 (1975), S. 273-284 
    ISSN: 1572-946X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract An account of hierarchical cosmology is given that is based on general relativity, being split up into three pieces for ease of assimilation. Part II will treat of specific solutions relevant to the observed Universe, while Part III compares these models with available empirical data in an effort to pick a model that agrees with observation. Part I derives a metric for a system based on the assumptions of (i) spherical symmetry about any local observer, (ii) a density distribution falling off as ϕ = ϕ0(t)r −2 from any local origin with the hierarchy delineated by step functions, (iii) the Universe was denser and more compact at some epoch in the past. These assumptions (Sections 1, 2) serve to derive a metric (Section 2) that allows of the definition of an effective scale factorS′(t) for Hubble's law, but which involves (Section 3) a curvature (k) and a parameter for measuring the radial coordinate (r/R 0) that both vary with epoch:k=k(t), R 0=R 0 (t). The metric reduces in a special case (k=constant,R 0=constant,S′(t)=S(t) defined by the Friedmann equations) to that of a Robertson/Walker Universe. Spacetime in the hierarchy (Section 4) can be open or closed depending on the behaviour of the dust. The equations of motion (or the field equations, equivalently) yield two equations analogous to the Friedmann equations, but including terms in the time-derivative of the curvature and a space-variable density of matter. Relativistic hierarchical cosmology provides a wider field of possible investigation with a view to describing the Universe (Section 6) than do the conventional uniform Robertson/Walker models.
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  • 9
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    Springer
    Astrophysics and space science 32 (1975), S. 315-330 
    ISSN: 1572-946X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract While Euclidean models with uniform matter density have a number of radio sources of flux density greater thanF at frequencyv that varies asN(〉F, v)α1 F −3/2, hierarchical models with ϱ = ϱ0 r −2 haveN(〉F,ν)∝F −1/2 (Section 1). Since the observed dependency isN(〉F,ν)∝F −1.8, severe density and/or luminosity evolution must be present in a workable hierarchical cosmology (Section 2). The same argument applies (Section 3) to the number of sources of apparent luminosity greater thanl,N(〉l) and (Section 4) to the number of sources within redshift distancez from the local origin. To give agreement with empirical data demandsq o=+1 and large first and second derivatives with respect to time of the number source density (Section 5). The adoption ofq o=+1 allows one to show (Section 6) that a Lemaitre-type hierarchical Universe with a long coasting or waiting time can give agreement with observations of the numbers of QSO's etc. if the age of the Universe is more than 1013 yr. The dependence of the effective Hubble parameter onk(t), $$\dot k$$ (t) andR (Section 7) leads one to suggest that ak=0, $$\dot k$$ =0 hierarchy with Λ≠0 might be the simplest acceptable form of model Universe. Section 8 (Conclusion) points out that further data on source count anisotropies should allow the component levels of the hierarchy to be delineated.
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  • 10
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    Astrophysics and space science 53 (1978), S. 429-444 
    ISSN: 1572-946X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The equations of general relativity are reduced to a set of simultaneous ordinary differential equations in one dimensionless variable by an appeal to self-similar symmetry. Analytic solutions are given representing (i) a static, spherically symmetric matter distribution with density ϱ ∝R −θ and θ=2, and (ii) a non-static dust cloud with θ dependent on epoch. (iii) For a ‘stiff’ equation of state, the topology of the solutions has been investigated numerically and we identify a uniquely defined ‘critical’ solution. We argue that self-similarity implies a canonical space-time cosmologically, and we also briefly indicate where these space-times may apply astrophysically.
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