Dynamical analysis of generalised $f(R,\mathcal{L})$ theories

Abstract

In this work, we use a dynamical system approach to analyse the viability of $f(R,\mathcal{L})$ candidates for dark energy. We compare these with nonminimal coupled $f(R)$ theories and study the solutions for exponential and power-law forms in order to constraint the allowed range of model parameters.

9 pages, 5 figures, 4 tables, Published in Phys. Rev. D

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Cited by in corpus (20)

• Teleparallel Gravity: From Theory to Cosmology
• Dynamical systems applied to cosmology: dark energy and modified gravity
• Non-exotic matter wormholes in a trace of the energy-momentum tensor squared gravity
• Wormhole solutions in $f(R,L_m)$ gravity
• Static traversable wormhole solutions in $f(R,L_m)$ gravity
• Perfect fluid Lagrangian and its cosmological implications in theories of gravity with nonminimally coupled matter fields
• Observational Constraint in $f(R,T)$ gravity from the cosmic chronometers and some standard distance measurement parameters
• Cosmology from non-minimal geometry-matter coupling
• Quark stars with 2.6 $M_{\odot }$ in a non-minimal geometry-matter coupling theory of gravity
• Thermodynamics of the apparent horizon in the generalized energy-momentum-squared cosmology
• Generalised nonminimally gravity-matter coupled theory
• Thermodynamics in $f(R,\mathcal{L})$ theories: Apparent horizon in the FLRW spacetime
• The trace of the trace of the energy-momentum tensor-dependent Einstein's field equations
• Quantum corrected thermodynamics of nonlinearly charged BTZ black holes in massive gravity's rainbow
• Hydrostatic equilibrium configurations of neutron stars in a non-minimal geometry-matter coupling theory of gravity
• Growth of structures and redshift-space distortion data in scale-dependent gravity
• Lagrangian formulation for an extended cosmological equation-of-state
• Visible and Dark Matter Profiles in a Non-Minimally Coupled Model
• Energy-momentum squared symmetric Teleparallel gravity: $f(Q,T_{\mu \nu }{T}^{\mu \nu })$ gravity
• Gravitational Collapse in Energy-momentum squared gravity: Nature of singularities