Topology and cosmology

DOI10.1007/BF02450512zbMath0337.53058MaRDI QIDQ1230439

George F. R. Ellis

Publication date: 1971

Published in: General Relativity and Gravitation (Search for Journal in Brave)

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Global differential geometry (53C99) General theory of differentiable manifolds (58A99)

Related Items

TOPOLOGICAL REVERBERATIONS IN FLAT SPACE–TIMES ⋮ A class of shear-free perfect fluids in general relativity. II ⋮ Bianchi type-III stiff fluid cosmological model in general relativity ⋮ Shear-free axial model in massive Brans-Dicke gravity ⋮ CONSTRAINTS ON THE COSMOLOGICAL DENSITY PARAMETERS AND COSMIC TOPOLOGY ⋮ \(B \Lambda F\) theory and flat spacetimes ⋮ Is the space-time dimension 11 distinguished in cosmology ? ⋮ A gravitationally non-degenerate cosmological model with expanding and shearing viscous fluid in general relativity ⋮ Viscous fluid cosmological model of cylindrical symmetry in the presence of magnetic field ⋮ Bianchi type-III cosmological models with time dependent displacement vector for barotropic fluid distribution in Lyra geometry ⋮ Bulk viscous Bianchi type-V cosmological models with variable gravitational and cosmological constant ⋮ Concircular curvature tensor and fluid spacetimes ⋮ On spacelike congruences in Riemann-Cartan space-time ⋮ Some spatially homogeneous string cosmological models ⋮ Tilted Bianchi type-I cosmological model in Lyra geometry ⋮ Some cylindrically-symmetric cosmological models in general relativity representing viscous fluid and perfect fluid with heat conduction ⋮ Some expanding and shearing viscous fluid cosmological models in general relativity ⋮ Manifold geometries ⋮ REPORT ON THE DETAILED CALCULATION OF THE EFFECTIVE POTENTIAL IN SPACETIMES WITH S¹ × R^d TOPOLOGY AND AT FINITE TEMPERATURE ⋮ Topological symmetry breaking in self-interacting theories on toroidal space–time ⋮ Anisotropic plane symmetric magnetized model with cosmological constant ⋮ Some anisotropic spatially-homogeneous cosmological models with electromagnetic field ⋮ Invariants of the Riemann tensor for class \(B\) warped product space-times ⋮ What do we know and what can we learn about the topology of the universe? ⋮ Some exact solutions of string cosmological models in Bianchi type-II space-time ⋮ Expanding topological space, study and applications ⋮ The trace of the heat kernel on a compact hyperbolic 3-orbifold ⋮ Spectral functions and zeta functions in hyperbolic spaces ⋮ Singular space-times ⋮ Measurement of the space-time interval in modified gravity theories in Palatini formalism ⋮ Compact homogeneous universes ⋮ Reviving the shear-free perfect fluid conjecture in general relativity ⋮ A new topological perspective of expanding space-times with applications to cosmology ⋮ GRAVITATIONAL LENSING, WAVEFRONT GEOMETRY AND THE CMB ⋮ Tilted LRS Bianchi type-I mesonic stiff fluid cosmological model ⋮ Almost Birkhoff theorem in general relativity ⋮ Some Bianchi type II universes with special free-gravitational fields ⋮ The structure and interpretation of cosmology: I. General relativistic cosmology ⋮ Universe creation on a computer ⋮ A historical review of how the cosmological constant has fared in general relativity and cosmology. ⋮ Anisotropic Bianchi type V perfect fluid cosmological models in Lyra's geometry ⋮ Bianchi type III cosmological models for barotropic perfect fluid distribution with variable \(G\) and \(\Lambda \) ⋮ Einstein-Cartan-Maxwell-Bianchi type-V cosmological models ⋮ Kantowski-Sacks bulk viscous string cosmological models in the presence of zero-mass scalar fields ⋮ ACCELERATION OF THE UNIVERSE DRIVEN BY THE CASIMIR FORCE ⋮ On the philosophy of cosmology ⋮ Cosmic topology: twenty years after ⋮ Some cosmological models with heat and null radiation flow ⋮ Birth of a closed universe of negative spatial curvature ⋮ Inhomogeneous generalizations of Bianchi type VI\(_ h\) models with perfect fluid ⋮ The standard cosmological model: achievements and issues ⋮ On the problem of initial conditions for inflation ⋮ Viscous fluid universe filled with stiff fluid in general relativity ⋮ Magnetostatic stiff-fluid model of cylindrical symmetry in general relativity ⋮ Magnetohydrodynamics and plasma cosmology ⋮ Tilted homogeneous cosmological models ⋮ Closed spaces in cosmology ⋮ Non-static conformally flat spherically symmetric perfect fluid distribution in Einstein-Cartan theory ⋮ Electromagnetic vacuum fluctuations and topologically induced motion of a charged particle ⋮ Non-Euclidean Newtonian cosmology ⋮ The implementation, interpretation, and justification of likelihoods in cosmology ⋮ Bianchi type-V bulk viscous fluid string dust cosmological model in general relativity ⋮ Editorial note to: H. P. Robertson, Relativistic cosmology ⋮ Birkhoff theorem and matter ⋮ Holomorphic path integrals in tangent space for flat manifolds ⋮ Bianchi type-III bulk viscous and barotropic perfect fluid cosmological models in Lyra's geometry ⋮ Bianchi type-VI\(_ 0\) cosmological models in certain theories of gravitation ⋮ Approximate symmetry groups of inhomogeneous metrics ⋮ Gravitational wave detection by bounded cold electronic plasma in a long pipe ⋮ SPIKES IN COSMIC CRYSTALLOGRAPHY ⋮ Shear-free perfect fluids with zero magnetic Weyl tensor ⋮ The Bianchi models: then and now ⋮ Some Bianchi type-II cosmological models in Brans-Dicke theory ⋮ On Jacobi fields ⋮ INVERSE AND SPONTANEOUS SUPERSYMMETRY BREAKING IN S¹ × R³ ⋮ String cosmological models in Lyra geometry ⋮ On space-time permeated by the perfect magnetofluid ⋮ Magnetized stiff fluid cylindrically symmetric universe with two degrees of freedom in general relativity ⋮ Bianchi type-I space-time with variable cosmological constant ⋮ ALL UNIVERSES GREAT AND SMALL ⋮ Scalar bosons evolving in an asymptotically \(\mathrm{AdS}_5\) bulk with AdS-branes everywhere ⋮ Determinants of Laplacians in real line bundles over hyperbolic manifolds connected with quantum geometry of membranes ⋮ Magnetostatic models filled with dust and disordered radiation ⋮ The Casimir effect at nonzero temperatures in a universe with topology \(S^1\times S^1\times S^1\) ⋮ Topology and fragility in cosmology ⋮ The no-defect conjecture in cosmic crystallography ⋮ Conditions for regular space-times with compact spatial sections ⋮ Relativistic cosmology 1999: Issues and problems ⋮ Some results in the general scalar tensor theory ⋮ Some general results in modified Brans-Dicke cosmologies ⋮ Causality in inflationary universes with positive spatial curvature ⋮ General relativistic effects in the galaxy bias at second order ⋮ Testing spacetime orientability ⋮ The topology of general cosmological models* ⋮ Cosmological hydrodynamics with relativistic pressure and velocity

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Relativistic space forms
• Non-existence of trouser-worlds
• A class of homogeneous cosmological models
• A class of homogeneous cosmological models. II: Observations
• The imbedding of manifolds in families of analytic manifolds
• Line element fields and Lorentz structures on differentiable manifolds
• The singularities of gravitational collapse and cosmology
• Relativistic Cosmology
• Topology in General Relativity
• Global Existence of Spin Structures for Gravitational Fields
• Spinor Structure of Space-Times in General Relativity. I
• Local Characterization of Singularities in General Relativity
• Mixmaster Universe
• Domain of Dependence
• Compound honeycombs in hyperbolic space
• On the global isometric embedding of pseudo-Riemannian manifolds
• Spinor Structure of Space-Times in General Relativity. II
• The clock paradox in general relativity
• Curvature and Betti Numbers. (AM-32)