Evolution of the early universe in Einstein-Cartan theory

Abstract

Einstein--Cartan theory is a generalization of general relativity that introduces spacetime torsion. In this paper, we perform phase space analysis to investigate the evolution of the early universe in Einstein--Cartan theory. By studying the stability of critical points in the dynamical system, we find that there exist two stable critical points which represent an Einstein static solution and an expanding solution, respectively. After analyzing the phase diagram of the dynamical system, we find that the early universe may exhibit an Einstein static state, an oscillating state, or a bouncing state. By assuming the equation of state $\omega$ can decrease over time $t$, the universe can depart from the initial Einstein static state, oscillating state, or bouncing state and then evolve into an inflationary phase. Then, we analyze four different inflationary evolution cases in Einstein--Cartan theory and find that a time-variable equation of state $\omega$ cannot yield values of $n_s$ and $r$ consistent with observations, while a time-invariant equation of state $\omega$ is supported by the Planck 2018 results. Thus, in Einstein--Cartan theory, the universe likely originates from a bouncing state rather than an Einstein static state or an oscillating state.

References in corpus (80)

• Efficient Computation of CMB anisotropies in closed FRW models
• Large-Scale Structure of the Universe and Cosmological Perturbation Theory
• Metric-Affine Gauge Theory of Gravity: Field Equations, Noether Identities, World Spinors, and Breaking of Dilation Invariance
• Encyclopaedia Inflationaris
• Planck 2018 results. III. High Frequency Instrument data processing and frequency maps
• The dynamical behavior of $f(T)$ theory
• Cosmology with torsion: An alternative to cosmic inflation
• Nonsingular, big-bounce cosmology from spinor-torsion coupling
• Slow-roll inflation with a Gauss-Bonnet correction
• Primordial Black Holes from Inflation with Nonminimal Derivative Coupling
• Dynamics of Teleparallel Dark Energy
• The Cosmological Dynamics of Interacting Holographic Dark Energy Model
• Torsion Cosmology and the Accelerating Universe
• Cosmological dynamics of mimetic gravity
• Observational constraints on slow-roll inflation coupled to a Gauss-Bonnet term
• Slow-roll inflation in $f(Q)$ non-metric gravity
• Inflation with Gauss-Bonnet coupling
• Dynamical dark energy: scalar fields and running vacuum
• Primordial black holes and stochastic gravitational wave background from inflation with a noncanonical spectator field
• Big bounce from spin and torsion
• Gravitational waves at the first post-Newtonian order with the Weyssenhoff fluid in Einstein-Cartan theory
• Slow-roll inflation in f(R,T) gravity and a modified Starobinsky-like inflationary model
• Dynamics of dark energy models and centre manifolds
• Primordial black holes and oscillating gravitational waves in slow-roll and slow-climb inflation with an intermediate non-inflationary phase
• Slow-roll Inflation with the Gauss-Bonnet and Chern-Simons Corrections
• Matter-antimatter asymmetry and dark matter from torsion
• Dynamical analysis and statefinder of Barrow holographic dark energy
• Stability analysis of the Tsallis holographic dark energy model
• Cosmological constraints on slow-roll inflation: an update
• Cosmological dynamics in f(R) gravity
• BICEP2 implications for single-field slow-roll inflation revisited
• Higgs inflation in Einstein-Cartan gravity
• Scalar-Fluid interacting dark energy: cosmological dynamics beyond the exponential potential
• Reconstruction of Slow-roll $F(R)$ Gravity Inflation from the Observational Indices
• Big bounce and closed universe from spin and torsion
• Stability of the Einstein static universe in Einstein-Cartan theory
• First post-Newtonian $N$-body problem in Einstein-Cartan theory with the Weyssenhoff fluid: Lagrangian and first integrals
• Slow-roll inflation and growth of perturbations in Kaniadakis modification of Friedmann cosmology
• Analytical results for binary dynamics at the first post-Newtonian order in Einstein-Cartan theory with the Weyssenhoff fluid
• Cosmological dynamics of scalar fields with kinetic corrections: Beyond the exponential potential
• Radiative losses and radiation-reaction effects at the first post-Newtonian order in Einstein-Cartan theory
• Emergent scenario in the Einstein-Cartan theory
• Slow-roll inflation in generalized scalar-torsion gravity
• Dynamical system analysis of dark energy models in scalar coupled metric-torsion theories
• Slow-roll inflation in (R+R*4) gravity
• Preheating in Einstein-Cartan Higgs Inflation: Oscillon formation
• Slow-roll inflation in $f(R,T)$ gravity with a $RT$ mixing term
• Dynamical systems study of Chameleon scalar field
• Corpuscular slow-roll inflation
• Slow-Roll Inflation with Exponential Potential in Scalar-Tensor Models
• Einstein-Cartan pseudoscalaron inflation
• Cosmological dynamics of the general non-canonical scalar field models
• Inhomogeneous Perturbations and Stability Analysis of the Einstein Static Universe in f(R,T) Gravity
• New slow-roll approximations for inflation in Einstein-Gauss-Bonnet gravity
• Signature transition in Einstein-Cartan cosmology
• Slow-Roll Inflation in Scalar-Tensor Models
• Dynamical system approach of non-minimal coupling in AdS/CFT cosmology
• Stability of Einstein static universe in gravity theory with a non-minimal derivative coupling
• Brans-Dicke inflation in light of the Planck 2015 data
• Phase space analysis of the bouncing universe with stringy effects
• Slow-Roll Inflation in the Jordan Frame
• Raychaudhuri equations and gravitational collapse in Einstein-Cartan theory
• Formalizing Slow-roll Inflation in Scalar-Tensor Theories of Gravitation
• The Simple Single Field Inflation Models and the Running of Spectral Index
• Minisuperspace Quantum Cosmology from the Einstein-Cartan Path Integral
• Starobinsky Inflation and beyond in Einstein-Cartan Gravity
• Quantization of Einstein-Cartan theory in the first order form
• Cosmological Distances And Hubble Tension In Einstein-Cartan Theory
• Slow-roll inflation in $f(T,\mathcal{T})$ modified gravity
• Modular Invariant Slow Roll Inflation
• Constraining ultra slow roll inflation using cosmological datasets
• On the cosmological effects of the Weyssenhoff spinning fluid in the Einstein-Cartan framework
• Emergent scenario in mimetic gravity
• Torsion formulation of gravity
• Signature of Einstein-Cartan theory
• CMB power spectrum for emergent scenario and slow expansion in scalar-tensor theory of gravity
• Gravitational Slip parameter and Gravitational Waves in Einstein-Cartan theory
• High energy scattering in Einstein-Cartan gravity
• Holographic inflation and holographic dark energy from entropy of the anti-de Sitter black hole
• A Study of Morris-Thorne Wormhole in Einstein-Cartan Theory

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