Theoretical cosmology (Q5161259)

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scientific article; zbMATH DE number 7417367

Language	Label	Description	Also known as
English	Theoretical cosmology	scientific article; zbMATH DE number 7417367

Statements

scholarly article

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Theoretical cosmology (English)

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George F. R. Ellis

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Classical and Quantum Gravity

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publication date

29 October 2021

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full work available at URL

https://arxiv.org/abs/1909.05346

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zbMATH Keywords

cosmology

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theoretical

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review

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MaRDI profile type

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Exact Solutions of Einstein's Field Equations

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The 'fitting problem' in cosmology

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Mathematical general relativity

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The 1965 Penrose singularity theorem

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Black hole non-modal linear stability: the Schwarzschild (A)dS cases

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On the philosophy of cosmology

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On under-determination in cosmology

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Towards the limits of cosmology

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Is the universe homogeneous?

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Relativistic Cosmology

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What is dust?—Physical foundations of the averaging problem in cosmology

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Circles in the sky: finding topology with the microwave background radiation

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Do we live in a ‘small universe’?

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The Large Scale Structure of Space-Time

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Spacetimes characterized by their scalar curvature invariants

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Lorentzian manifolds and scalar curvature invariants

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Discriminating the Weyl type in higher dimensions using scalar curvature invariants

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Theorems on existence and global dynamics for the Einstein equations

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Global aspects of the Cauchy problem in general relativity

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On the existence of global solutions for <i>T</i> <sup>3</sup> -Gowdy spacetimes with stringy matter

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Gravitational Collapse and Space-Time Singularities

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The occurrence of singularities in cosmology

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The occurrence of singularities in cosmology. II

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The occurrence of singularities in cosmology. ɪɪɪ. Causality and singularities

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The singularities of gravitational collapse and cosmology

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Singularity Theorems in General Relativity: Achievements and Open Questions

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The formation of black holes in general relativity.

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A fully anisotropic mechanism for formation of trapped surfaces in vacuum

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On the formation of trapped surfaces

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Bouncing cosmologies: progress and problems

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String gas cosmology: progress and problems

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Anisotropy in a non-singular bounce

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Fashion, faith, and fantasy in the new physics of the universe

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Bouncing cosmology made simple

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Quantum nature of the big bang: Improved dynamics

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Numerical simulations of a loop quantum cosmos: robustness of the quantum bounce and the validity of effective dynamics

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On the global existence and the asymptotic behavior of solutions to the Einstein-Maxwell-Yang-Mills equations

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Static spherically symmetric solutions of the SO(5) Einstein Yang–Mills equations

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Equivariant self-similar wave maps from Minkowski spacetime into 3-sphere

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Formation of singularities for equivariant \((2+1)\)-dimensional wave maps into the 2-sphere

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Global regularity for the 2+1 dimensional equivariant Einstein-wave map system

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Regularity of wave-maps in dimension \(2+1\)

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Generic self-similar blowup for equivariant wave maps and Yang-Mills fields in higher dimensions

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The Einstein-Vlasov system/kinetic theory

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The global existence of Yang-Mills-Higgs fields in 4-dimensional Minkowski space. I. Local existence and smoothness properties

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The global existence of Yang-Mills-Higgs fields in 4-dimensional Minkowski space. II. Completion of proof

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Finite energy solutions of the Yang-Mills equations in \(\mathbb{R}^{3+1}\)

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Global existence of solutions of the Yang-Mills equations on globally hyperbolic four dimensional Lorentzian manifolds

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Analytic description of singularities in Gowdy spacetimes

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Nonexistence of multiple black holes in asymptotically Euclidean static vacuum space-time

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Proof of uniqueness of the Kerr-Newman black hole solution

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Asymptotic properties of linear field equations in minkowski space

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The linear stability of the Schwarzschild solution to gravitational perturbations

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Lectures on black holes and linear waves

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A cosmologically motivated reference formulation of numerical relativity

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The kinematic dipole in galaxy redshift surveys

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Why the Cosmological Constant Is Small and Positive

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The cosmological constant problem

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On the trace-free Einstein equations as a viable alternative to general relativity

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The trace-free Einstein equations and inflation

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Measurements of Ω and Λ from 42 High‐Redshift Supernovae

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Existence and structure of past asymptotically simple solutions of Einstein's field equations with positive cosmological constant

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Asymptotic behavior of homogeneous cosmological models in the presence of a positive cosmological constant

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Dynamical systems and cosmology

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Power-law inflation in spacetimes without symmetry

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Power law inflation

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Robustness of inflation to inhomogeneous initial conditions

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On the problem of initial conditions for inflation

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The role of fluctuation-dissipation dynamics in setting initial conditions for inflation

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General relativistic density perturbations

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Quantum Gravitation

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Beyond Standard Inflationary Cosmology

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Isocurvature perturbations in the Ekpyrotic Universe

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A contracting universe driven by two scalar fields

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Exact scalar field cosmologies

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Dynamical Systems in Cosmology

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Cosmological Models and Stability

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The closed-universe recollapse conjecture

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Global properties of locally spatially homogeneous cosmological models with matter

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De Sitter space and eternity

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Quantum gravity slows inflation

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The Einstein-Vlasov system/kinetic theory

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Numerical simulations of general gravitational singularities

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Mixmaster: fact and belief

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Curvature blow up in Bianchi VIII and IX vacuum spacetimes

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The Bianchi IX attractor

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Isotropic singularities in cosmological models

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The isotropic singularity in cosmology

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The Cauchy problem for quasi–linear hyperbolic evolution problems with a singularity in the time

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On the structure of conformal singularities in classical general relativity

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On the structure of conformal singularities in classical general relativity. II Evolution equations and a conjecture of K. P. Tod

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Isotropic cosmological singularities. I: Polytropic perfect fluid spacetimes

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The nature of singularity in multidimensional anisotropic Gauss-Bonnet cosmology with a perfect fluid

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Perturbations of spacetime: gauge transformations and gauge invariance at second order and beyond

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Evolution of second-order cosmological perturbations

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Gauge Invariant Variables in Two-Parameter Nonlinear Perturbations

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Second-Order Gauge Invariant Perturbation Theory: -- Perturbative Curvatures in the Two-Parameter Case --

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Existence of Long-Range Magnetic Order in the Ground State of Two-Dimensional Spin-1/2 Heisenberg Antiferromagnets

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Numerical relativity using a generalized harmonic decomposition

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How does the cosmic large-scale structure bias the Hubble diagram?

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Nonlinear relativistic corrections to cosmological distances, redshift and gravitational lensing magnification: II. Derivation

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How Gaussian can our Universe be?

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Parameterized post-Newtonian cosmology

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Black hole explosions?

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PERSISTENCE OF BLACK HOLES THROUGH A COSMOLOGICAL BOUNCE

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Persistent black holes in bouncing cosmologies

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On average properties of inhomogeneous fluids in general relativity: Dust cosmologies

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On average properties of inhomogeneous fluids in general relativity: Perfect fluid cosmologies

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A complete cosmological solution to the averaged Einstein field equations as found in macroscopic gravity

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Towards a theory of macroscopic gravity

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Space–time averages in macroscopic gravity and volume-preserving coordinates

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Averaging in cosmological models using scalars

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Is there proof that backreaction of inhomogeneities is irrelevant in cosmology?

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Cosmological Solutions in Macroscopic Gravity

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How well is our Universe described by an FLRW model?

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Cosmological backreaction and its dependence on spacetime foliation

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Cosmological backreaction within the Szekeres model and emergence of spatial curvature

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Black holes in higher dimensions

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Singularity theorems based on trapped submanifolds of arbitrary co-dimension

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Black strings and<i>p</i>-branes are unstable

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Black rings at large \(D\)

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The large-\(N\) limit of superconformal field theories and supergravity

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Stationary black holes: Uniqueness and beyond

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Gravitational turbulent instability of anti-de Sitter space

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AdS nonlinear instability: moving beyond spherical symmetry

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AdS nonlinear instability: breaking spherical and axial symmetries

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On the nonlinear stability of asymptotically anti-de Sitter solutions

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Quantum Theory of Gravity. I. The Canonical Theory

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The large \(N\) limit of superconformal field theories and supergravity

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The generalized second law implies a quantum singularity theorem

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Loop quantum cosmology: a status report

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Resolution of strong singularities and geodesic completeness in loop quantum Bianchi-II spacetimes

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Generic absence of strong singularities in loop quantum Bianchi-IX spacetimes

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Quantization ambiguities and bounds on geometric scalars in anisotropic loop quantum cosmology

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Loop quantum cosmology of Bianchi IX: effective dynamics

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Big Bounce and inhomogeneities

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The loop quantum cosmology bounce as a Kasner transition

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Primordial power spectrum from the Dapor-Liegener model of loop quantum cosmology

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What if string theory has no de Sitter vacua?

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Inflation and String Theory

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Superconformal inflationary \(\alpha\)-attractors

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Quantum Gravity

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Quantum gravity.

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Quantum Gravity

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Identifiers

zbMATH Open document ID

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10.1088/1361-6382/ab49b6

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5161259

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