Quantum mechanics

Algorithm

Cosmology

Mathematical physics

Equation of state

Stability (learning theory)

Energy (signal processing)

Null (SQL)

Data mining

Computer science

Statistical physics

Dark energy

Physics

Homogeneous

Mathematics

Dynamical system (definition)

Geometry

Combinatorics

Dynamical systems theory

Programming language

Real line

Machine learning

Line (geometry)

Constant (computer programming)

State (computer science)

Physics of the Dark Universe

Two accelerating cosmological models are presented in symmetric teleparallel f(Q) gravity, Q be the non-metricity. The models are constructed based on the assumptions of two different functional forms of f(Q) and a dynamically changing nature of the deceleration parameter that shows transition at t=2n±4n2+13, n being a positive constant. In both the models, the equation of state parameter for the dark energy in f(Q) gravity becomes a dynamical quantity and crosses the phantom divide line. The violation of the strong energy condition and the null energy condition at late times are also established. In addition, the dynamical system analysis has been performed and three critical points in each model are identified. In each model, at least one stable node has been observed. To strengthen further, the stability analysis using homogeneous linear perturbations has been performed to ensure the stability of the models.

Dynamical system analysis for accelerating models in non-metricity <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e1449" altimg="si214.svg"><mml:mrow><mml:mi>f</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>Q</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math> gravity

Dynamical system analysis for accelerating models in non-metricity f(Q) gravity