On the formation of elliptical galaxies.
Elliptic galaxy formation by expansion from steady state according to Einstein-de Sitter law
GALACTIC EVOLUTION↗
SEARCH · Engineering Papers
Results for “de Sitter”
Search indexed NASA NTRS and DOE OSTI research on propulsion, heat transfer, battery materials and energy systems. Follow report and document links to the original sources.
Quote a phrase for an exact phrase match. Source license links do not imply unrestricted reuse.
Differentiating unit orthogonal vectors in a Riemannian space that admits and N-tuply orthogonal system of hypersurfaces.
In a normal coordinate system { y 𝑎 } , the identity 𝜕 2 𝑥 𝑝 /∂y 𝑛 ∂y 𝑚 = ∂ 2 𝑥 𝑝 /∂y 𝑚 ∂y 𝑛 is used to obtain expressions, involving the components of the metric tensor in this coordinate system, for the derivatives of the unit tangent vectors to the parametric curves. An example is given for a normal coordinate system in the De Sitter universe.
Riemann space↗
A re-evaluation of the theory for the hydrostatic figure of the earth.
De Sitter hydrostatic theory of earth figure modified to make equations independent of external potential theory in calculating flattening
Khan, M. A.↗
On the Equilibrium Figure of the Earth
If de Sitter's hydrostatic equations are developed independent of the external potential theory, the hydrostatic geopotential coefficient J(sub h) occurs explicitly on the right-hand side of those equations. J(sub h) here has to be treated as an unknown in the solution, it becomes rather difficult to solve the equations independently, regardless of which of the dynamical parameters associated with the earth is taken as the initial datum. Solution is possible, however, with the help of a boundary condition derived from the external potential theory which neither assumes nor discounts the presence of equilibrium conditions in the earth's interior. If a general solution i s constructed on this basis, the three particular solutions, usually quoted in literature, stem from it in the wake of the appropriate assumptions. Of course, the only meaningful solution--of these-- is that corresponding to the polar moment of inertia as the initial datum. It is essential that the solution be constructed in this way in order to demonstrate clearly the correct structure of the problem of hydrostatic equilibrium. The anomalous gravity field of the earth referred to the hydrostatic figure is compared with that referred to the international reference ellipsoid.
Khan, M. A.↗
General solution of the problem of hydrostatic equilibrium of the earth
De Sitter hydrostatic equations solution possible with help of boundary condition from external potential theory with/without assumed equilibrium in earth interior
Khan, M. A.↗
Comment on the spin precession of the Schiff satellite in the Brans-Dicke theory
Orbiting gyroscope de Sitter precession in different versions of Brans-Dicke theory, discussing term arising from anomalous scalar force in equations of motion
Morganstern, R. E.↗
On the formation and evolution of clumps of galaxies in an expanding universe
Results are derived for the development of phase-space clumps of mass points in a background spectrum of gravitational-potential fluctuations. The Vlasov equation and the pair correlation equation (in the weak coupling limit) are solved exactly in an Einstein-de Sitter cosmology, and the plasma-clumping theory is used to identify terms that yield important collective effects. Various astrophysical implications are discussed, including the formation of large-scale inhomogeneity and the enhanced generation of correlations in the distribution of galaxies.
Norman, C. A.↗
The growth of aspherical structure in the universe - Is the Local Supercluster an unusual system
The growth and subsequent collapse of homogeneous ellipsoidal perturbations in a uniform expanding background is considered as a simple model for the formation of large-scale aspherical structures in the observed universe. Numerical calculations of the evolution of such perturbations turn out to be well described by an approximate analytic solution of the equations of motion, and simple relationships are found between the initial shape of a perturbation and its shape and kinematic properties at the time of collapse. Perturbations do not change their shape significantly until they reach a density contrast of order unity. As a result, structures with the kinematic properties of the Local Supercluster should form much more commonly in a low-density universe than in a flat universe. The homogeneity of the local Hubble flow, the motion of the Milky Way with respect to the microwave background, and the flattening of the Local Supercluster can be successfully accounted for by these models, provided that the initial perturbation is sufficiently flattened. Viable models are obtained only if the ratio of the lengths of the two smaller axes of the initial perturbation is at least 3:1 in an Einstein-de Sitter universe or at least 1.8:1 in a universe for which the density parameter (Omega) is of order 0.1, when the protocluster pancakes.
White, S. D. M.↗
Large-scale anisotropy of the cosmic microwave background radiation
Inhomogeneities in the large-scale distribution of matter inevitably lead to the generation of large-scale anisotropy in the cosmic background radiation. The dipole, quadrupole, and higher order fluctuations expected in an Einstein-de Sitter cosmological model have been computed. The dipole and quadrupole anisotropies are comparable to the measured values, and impose important constraints on the allowable spectrum of large-scale matter density fluctuations. A significant dipole anisotropy is generated by the matter distribution on scales greater than approximately 100 Mpc. The large-scale anisotropy is insensitive to the ionization history of the universe since decoupling, and cannot easily be reconciled with a galaxy formation theory that is based on primordial adiabatic density fluctuations.
Silk, J.↗
Orbit improvement of the satellites of the outer planets
Data reduced from 127 plates showing Jupiter's and Saturn's satellites in the interval 1972 to 1974 are available on computer cards in the form of (O-C) residuals. Initial orbit calculations and several later orbit improvements for Jupiter XIII (Leda) culminated in an extended ephemeris for Leda to the year 2000. The possible existence of several small satellites just outside Saturns rings was predicted. De Sitter's incomplete theory for the motion of the Galilean satellites was reviewed and an outline for a revised, complete theory was developed. Observations of nearly 100 relative positions of the Galilean satellite with a mean accuracy of about 100 km (0.03 arc sec) were used to improve Sampson's theory for these satellites. Results were published on (1) a long term upper limit to Jupiter's orbital eccentricity; (2) deviation of an accurate modern value of the ellipticity of Uranus from balloon-borne images and consequent evaluation of the planet's rotation rate; and (3) identification of features in Saturn's rings as produced by heretofore undetected tesseral harmonics of Saturn's gravitational field.
Aksnes, K.↗
The peculiar velocity field in flattened superclusters
The linear growth rate of small transverse perturbations in a self-gravitating, collisionless gas that is undergoing a one-dimensional collapse is strongly influenced by the nonlinear flow of the background. In the collapse plane, smaller Hubble flow deviations and infall velocities are obtained than in the simple linear theory. Application of this theory to the kinematics of galaxies in a flat supercluster shows that the usual linear approximation may seriously underestimate Omega, the density parameter of the universe, if there is a strong deviation from spherical symmetry. Furthermore, dissipative separation of baryonic matter from collisionless dark material (such as hypothesized massive neutrinos) enhances this effect, leading to apparent Omega values of 0.2-0.3 for a wide range of separation parameters in an Einstein-de Sitter (Omega = 1) model.
Szalay, A. S.↗
Semiclassical instability of compactification
It is shown that several schemes for compactification of the extra dimensions in Kaluza-Klein theories are unstable to a quantum gravitational process of barrier penetration: The universe can tunnel from a state with static extra dimensions to a de Sitter expansion of all dimensions. The tunneling rate is estimated, and it is found that the present state of the universe is probably long-lived (in good agreement with observation).
Frieman, J. A.↗
Kinematic tests of exotic flat cosmological models
Theoretical prejudice and inflationary models of the very early universe strongly favor the flat, Einstein-de Sitter model of the universe. At present the observational data conflict with this prejudice. This conflict can be resolved by considering flat models of the universe which posses a smooth component of energy density. The kinematics of such models, where the smooth component is relativistic particles, a cosmological term, a network of light strings, or fast-moving, light strings is studied in detail. The observational tests which can be used to discriminate between these models are also discussed. These tests include the magnitude-redshift, lookback time-redshift, angular size-redshift, and comoving volume-redshift diagrams and the growth of density fluctuations.
Charlton, Jane C.↗
A no hair theorem and the problem of initial conditions
It is shown that under very general conditions, any inhomogeneous cosmological model with a positive cosmological constant that can be described in a synchronous reference system will tend asymptotically in time towards the de Sitter solution. This renders the problem of initial conditions less severe.
Jensen, Lars Gerhard↗
New tests with old data
The discussion of new tests of relativity must begin with a definition of the word new. Included, under that rubric, not only tests that have never been attempted before or never produced a useful result, but also those that may be repeated with significantly improved results. Thus, the classical tests insofar as they have been recently refined are discussed and the results are given obtained at the Center for Astrophysics (CFA). A new test of relativity is described via the detection of the de Sitter precession of the Moon's orbit. These tests, when considered in the parameterized post-Newtonian (PPN) framework, have all involved determining combinations of beta and gamma. A further topic of consideration is that of old data. In attempting to improve a test of relativity, particularly when the effect to be discerned is a secular one, such as the relativistic perihelion advance of Mercury, it is important to maintain the original set of data, so that the experiment need not start all over.
Chandler, John F.↗
A model for the distribution of dark matter, galaxies, and the intergalactic medium in a cold dark matter-dominated universe
The spatial distribution of the cold-dark-matter (CDM) and baryonic components of CDM-dominated cosmological models are characterized, summarizing the results of recent theoretical investigations. The evolution and distribution of matter in an Einstein-de Sitter universe on length scales small enough so that the Newtonian approximation is valid is followed chronologically, assuming (1) that the galaxies, CDM, and the intergalactic medium (IGM) are coupled by gravity, (2) that galaxies form by taking mass and momentum from the IGM, and (3) that the IGM responds to the energy input from the galaxies. The results of the numerical computations are presented in extensive graphs and discussed in detail.
Ryu, Dongsu↗
Dark matter in the universe
What is the quantity and composition of material in the Universe? This is one of the most fundamental questions we can ask about the Universe, and its answer bears on a number of important issues including the formation of structure in the Universe, and the ultimate fate and the earliest history of the Universe. Moreover, answering this question could lead to the discovery of new particles, as well as shedding light on the nature of the fundamental interactions. At present, only a partial answer is at hand. Most of the radiation in the Universe does not give off detectable radiation; it is dark. The dark matter associated with bright galaxies contributes somewhere between 10 and 30 percent of the critical density; baryonic matter contributes between 1.1 and 12 percent of the critical. The case for the spatially flat, Einstein-de Sitter model is supported by three compelling theoretical arguments - structure formation, the temporal Copernican principle, and inflation - and by some observational data. If Omega is indeed unity, or even just significantly greater than 0.1, then there is a strong case for a Universe comprised of nonbaryonic matter. There are three well motivated particle dark matter candidates: an axion of mass 10 (exp -6) eV to 10 (exp -4) eV; a neutrino of mass 10 GeV to about 3 TeV; or a neutrino of mass 20 eV to 90 eV. All three possibilities can be tested by experiments that are either planned or are underway.
Turner, Michael S.↗
The clustering of faint galaxies
Deep images of the sky reveal a population of faint blue objects that may be protogalaxies at redshifts of more than approximately 1. The faint galaxies are surprisingly weakly clustered. There are several possible explanations of this result: (1) the majority of the faint blue galaxies belong to a new population that is weakly clustered and intrinsically faint at the present epoch; (2) galaxy clustering evolves much more rapidly than expected in simple models of gravitational instability; or (3) the geometry of the universe differs significantly from the Einstein-de Sitter model.
Efstathiou, G.↗