Stability of the Einstein static Universe in Einstein-Cartan-Brans-Dicke gravity

Abstract

In the present work we consider the existence and stability of Einstein static {\sf ES} Universe in Brans-Dicke ({\sf BD}) theory with non-vanishing spacetime torsion. In this theory, torsion field can be generated by the {\sf BD} scalar field as well as the intrinsic angular momentum (spin) of matter. Assuming the matter content of the Universe to be a Weyssenhoff fluid, which is a generalization of perfect fluid in general relativity ({\sf GR}) in order to include the spin effects, we find that there exists a stable {\sf ES} state for a suitable choice of the model parameters. We analyze the stability of the solution by considering linear homogeneous perturbations and discuss the conditions under which the solution can be stable against these type of perturbations. Moreover, using dynamical system techniques and numerical analysis, the stability regions of the {\sf ES} Universe are parametrized by the {\sf BD} coupling parameter and first and second derivatives of the {\sf BD} scalar field potential, and it is explicitly shown that a large class of stable solutions exists within the respective parameter space. This allows for non-singular emergent cosmological scenarios where the Universe oscillates indefinitely about an initial {\sf ES} solution and is thus past eternal.

arXiv comment24 pages, 9 figures and 2 tables

References in corpus (65)

• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Planck 2013 results. XVI. Cosmological parameters
• The Confrontation between General Relativity and Experiment
• BICEP2 I: Detection Of B-mode Polarization at Degree Angular Scales
• The Ekpyrotic Universe: Colliding Branes and the Origin of the Hot Big Bang
• The Pre-Big Bang Scenario in String Cosmology
• Cosmic Evolution in a Cyclic Universe
• Conditions for the cosmological viability of f(R) dark energy models
• A Cyclic Model of the Universe
• Superstring Cosmology
• The Emergent Universe: inflationary cosmology with no singularity
• The Emergent Universe: An Explicit Construction
• f(R,T) Cosmological Models in Phase Space
• Designing Cyclic Universe Models
• An emergent universe from a loop
• Cosmology with torsion: An alternative to cosmic inflation
• Emergent Universe with Exotic Matter
• Nonsingular, big-bounce cosmology from spinor-torsion coupling
• On the Stability of the Einstein Static Universe
• Collapse to Black Holes in Brans-Dicke Theory: II. Comparison with General Relativity
• Stability of the Einstein static universe in f(R) gravity
• Collapse to Black Holes in Brans-Dicke Theory: I. Horizon Boundary Conditions for Dynamical Spacetimes
• Stability of the Einstein static Universe in $f(R,T)$ gravity
• Bouncing Cosmology made simple
• Oscillatory Universes in Loop Quantum Cosmology and Initial Conditions for Inflation
• The Existence of Godel, Einstein and de Sitter Universes
• Universe in a black hole in Einstein$-$Cartan gravity
• The stability of the Einstein static state in $f(T)$ gravity
• The Einstein static universe in Loop Quantum Cosmology
• Brane-world generalizations of the Einstein static universe
• Einstein Static Universe in Exponential $f(T)$ Gravity
• Dynamics of f(R)-cosmologies containing Einstein static models
• The Existence of Einstein Static Universes and their Stability in Fourth order Theories of Gravity
• Einstein static universes are unstable in generic f(R) models
• Repulsive gravity in the very early Universe
• Big bounce from spin and torsion
• Emergent Universe in Brane World Scenario with Schwarzschild-de Sitter Bulk
• Emergent Universe Scenario in the Einstein-Gauss-Bonnet Gravity with Dilaton
• Emergent universe in a Jordan-Brans-Dicke theory
• A graceful entrance to braneworld inflation
• Emergent Universe Scenario via Quintom Matter
• More on the initial singularity problem in gravity's rainbow cosmology
• Emergent Universe from Scale Invariant Two Measures Theory
• Stability of the Einstein Static Universe in open cosmological models
• Emergent Cosmology Revisited
• On the stability of static ghost cosmologies
• Stability of the Einstein static universe in Einstein-Cartan theory
• Stability of the Einstein static universe in presence of vacuum energy
• Einstein-Cartan Cosmologies
• Stability Analysis of Einstein Universe in $f(\mathcal{G},T)$ Gravity
• Responses of the Brans-Dicke field due to gravitational collapses
• Emergent scenario in the Einstein-Cartan theory
• Cosmology of the Spinor Emergent Universe and Scale-invariant Perturbations
• Quantum Instability of the Emergent Universe
• Einstein static universe as a brane in extra dimensions
• Oscillating universe in the DGP braneworld
• Collapse and dispersal of a homogeneous spin fluid in Einstein-Cartan theory
• Emergent universe in spatially flat cosmological model
• Inverse volume corrections to emergent tachyonic inflation in loop quantum cosmology
• Chiral fermions and torsion in the early Universe
• Einstein-Cartan gravitational collapse of a homogeneous Weyssenhoff fluid
• On the torsion effects of a relativistic spin fluid in early cosmology
• Stability of Einstein static universe in gravity theory with a non-minimal derivative coupling
• Brans-Dicke theory of gravity with torsion: A possible solution of the $\omega$-problem

Cited by in corpus (14)

• Emergent Universe from Energy-Momentum Squared Gravity
• Reconstruction and Stability Analysis of Some Cosmological Bouncing Solutions in $F(\mathcal{R},T)$ Theory
• On the initial singularity in Kantowski-Sachs spacetime
• Emergent Universe in f(Q) gravity theories
• Emergent scenario in mimetic gravity
• Gravitational Collapse without Singularity Formation in Brans-Dicke Theory
• CMB power spectrum in the emergent universe with k-essence
• Einstein Static Universe and its Stability in Generalized Rastall Gravity
• Analytical approximations for primordial power spectra in a spatially closed emergent universe
• Dark Matter and Dark Energy from a Kaluza-Klein inspired Brans-Dicke Gravity with Barotropic Fluid
• CMB power spectrum for emergent scenario and slow expansion in scalar-tensor theory of gravity
• Emergent Cosmology in 4D Einstein Gauss Bonnet Theory of Gravity
• A Kaluza-Klein Inspired Brans-Dicke Gravity with Dark Matter and Dark Energy Model
• Stability of the Einstein Static Universe in Zero-Point Length Cosmology with Topological Defects