Multi-fluid cosmology in Einstein gravity: analytical solutions
arXiv:2107.12488 · doi:10.1007/s10714-021-02879-z
Abstract
We review analytical solutions of the Einstein equations which are expressed in terms of elementary functions and describe Friedmann-Lemaître-Robertson-Walker universes sourced by multiple (real or effective) perfect fluids with constant equations of state. Effective fluids include spatial curvature, the cosmological constant, and scalar fields. We provide a description with unified notation, explicit and parametric forms of the solutions, and relations between different expressions present in the literature. Interesting solutions from a modern point of view include interacting fluids and scalar fields. Old solutions, integrability conditions, and solution methods keep being rediscovered, which motivates a review with modern eyes.
Bibliography expanded and typographical errors corrected. Matches the version to appear in Gen. Relativ. Gravit
References in corpus (88)
- Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
- The Confrontation between General Relativity and Experiment
- Covariant Galileon
- Extra force in modified theories of gravity
- Cosmological Evolution of a Quintom Model of Dark Energy
- Healthy theories beyond Horndeski
- Horndeski theory and beyond: a review
- Reheating in Inflationary Cosmology: Theory and Applications
- Nonperturbative Dynamics Of Reheating After Inflation: A Review
- Exploring gravitational theories beyond Horndeski
- Degenerate higher order scalar-tensor theories beyond Horndeski up to cubic order
- Large-scale instability in interacting dark energy and dark matter fluids
- Bouncing Universe with Quintom Matter
- The new form of the equation of state for dark energy fluid and accelerating universe
- Holographic Ricci dark energy: Current observational constraints, quintom feature, and the reconstruction of scalar-field dark energy
- Generalized Second Law of Thermodynamics in Quintom Dominated Universe
- Conformal Transformations with Multiple Scalar Fields
- Quantum phantom cosmology
- Coupled oscillators as models of quintom dark energy
- Multi-brid inflation and non-Gaussianity
- Cosmic Duality in Quintom Universe
- Quintom cosmologies admitting either tracking or phantom attractors
- Using the Noether symmetry approach to probe the nature of dark energy
- Quintom cosmologies with arbitrary potentials
- Testing the interaction between dark energy and dark matter via latest observations
- On Perturbations of Quintom Bounce
- Two-Field Quintom Models in the w-w' Plane
- Quintom model with O() symmetry
- A String-Inspired Quintom Model Of Dark Energy
- Large non-Gaussianity from multi-brid inflation
- Dark Energy Model with Spinor Matter and Its Quintom Scenario
- Unified Dark Matter in Scalar Field Cosmologies
- Primordial Non-Gaussianity in Multi-Scalar Slow-Roll Inflation
- Effects of dark sectors' mutual interaction on the growth of structures
- Parametrized Post-Friedmann Framework for Interacting Dark Energy
- Nongaussianity from Tachyonic Preheating in Hybrid Inflation
- Evolution of Metric Perturbations in Quintom Bounce model
- as Dark Matter
- Transition from quintessence to phantom phase in quintom model
- Internal space structure generalization of the quintom cosmological scenario
- Noether Symmetries in Gauss-Bonnet-teleparallel cosmology
- Two scalar field cosmology: Conservation laws and exact solutions
- Covariantizing the interaction between dark energy and dark matter
- Scalar Field Dark Matter: head-on interaction between two structures
- The little sibling of the big rip singularity
- Oscillating universe with quintom matter
- Effective field theory of modified gravity with two scalar fields: dark energy and dark matter
- Nflation: non-gaussianity in the horizon-crossing approximation
- Curvature perturbation from symmetry breaking the end of inflation
- Invariant solutions and Noether symmetries in Hybrid Gravity
- Friedmann's Equations in All Dimensions and Chebyshev's Theorem
- Cosmo-dynamics and dark energy with a quadratic EoS: anisotropic models, large-scale perturbations and cosmological singularities
- Dynamics of Quintom and Hessence Energies in Loop Quantum Cosmology
- Stringy-Running-Vacuum-Model Inflation: from primordial Gravitational Waves and stiff Axion Matter to Dynamical Dark Energy
- Emergent Universe Scenario via Quintom Matter
- Non-gaussianity for a Two Component Hybrid Model of Inflation
- Dissipative generalized Chaplygin gas as phantom dark energy
- Patch dualities and remarks on nonstandard cosmologies
- Dynamical symmetries and observational constraints in scalar field cosmology
- Multiple Lambda cosmology: dark fluid with time-dependent equation of state as classical analog of cosmological landscape
- Non-Gaussianities in Multifield Inflation: Superhorizon Evolution, Adiabaticity, and the Fate of fnl
- Reconstruction of Scalar Potentials in Modified Gravity Models
- Toward a Unified Description of Dark Energy and Dark Matter from the Abnormally Weighting Energy Hypothesis
- The Trispectrum in the Multi-brid Inflation
- Reconstructing a String-Inspired Quintom Model of Dark Energy
- The w = -1 crossing of the quintom model with slowly-varying potentials
- Phantom cosmologies and fermions
- An entirely analytical cosmological model
- Theoretical Aspects of Quintom Models
- Note on Non-Gaussianities in Two-field Inflation
- Two Component Model of Dark Energy
- Halos of Unified Dark Matter Scalar Field
- Bounce Universe Induced by an Inhomogeneous Dark Fluid Coupled with Dark Matter
- Asymptotic behavior of w in general quintom model
- Do we Come from a Quantum Anomaly?
- Enhanced Inflation in the Dirac-Born-Infeld framework
- Two-fluid stellar objects in General Relativity: the covariant formulation
- FLRW-Cosmology in Generic Gravity Theories
- Infinite dimensional symmetry groups of the Friedmann equations
- Duality invariance and cosmological dynamics
- Quintom cosmological model and some possible solutions using Lie and Noether symmetries
- String-Inspired Running Vacuum, the "Vacuumon", and the Swampland Criteria
- Supersymmetry of FRW barotropic cosmologies
- First-order formalism for the quintom model of dark energy
- Scalar field exact solutions for non-flat FLRW cosmology: A technique from non-linear Schrödinger-type formulation
- A new symmetry of the spatially flat Einstein-Friedmann equations
- Power-law expansion cosmology in Schrödinger-type formulation
- Interactions in the dark sector of the Universe
Cited by in corpus (9)
- New Anisotropic Exact Solution in Multifield Cosmology
- Probing extra dimensions through cosmological observations of dark energy
- Multiple fluid theory of cosmic evolution and its thermodynamic analysis
- Quantum Mechanics from General Relativity and the Quantum Friedmann Equation
- When can we compute analytically lookback time, age of the universe, and luminosity distance?
- Cosmological analogies for geophysical flows, Lagrangians, and new analogue gravity systems
- Painlevé analysis for the cosmological field equations in Weyl Integrable Spacetime
- Integrable Cosmological Models with an Arbitrary Number of Scalar Fields
- Stability of the Einstein Static Universe in Zero-Point Length Cosmology with Topological Defects