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The exploration of teleparallel gravity has been done from a dynamical systems point of view in order to be tested against the cosmological evolution currently observed. So far, the proposed autonomous systems have been restrictive over a…

General Relativity and Quantum Cosmology · Physics 2021-04-15 Geovanny A. Rave-Franco , Celia Escamilla-Rivera , Jackson Levi Said

Here, cosmology is obtained from the variable gravitational constant $ G \propto \phi^{-2}$ with $ \phi(x) $ being a scalar and its fluctuations around the ground state. The gravitational action contains Einstein-Hilbert like term with…

General Relativity and Quantum Cosmology · Physics 2008-09-19 S. K. Srivastava

In $f(T)$ gravity, the theory modifies the gravitational action by introducing a function of the torsion scalar $T$. This approach allows for a different treatment of gravity than general relativity, particularly in cosmological contexts.…

General Relativity and Quantum Cosmology · Physics 2024-10-08 S. Davood Sadatian , S. Mohamad Reza Hosseini

The stable critical points and their corresponding cosmology are derived in the teleparallel gravity with an added Gauss-Bonnet topological invariant term. We have analyzed the dynamics of the Universe by presenting two cosmological viable…

General Relativity and Quantum Cosmology · Physics 2023-12-12 S. A. Kadam , Santosh V Lohakare , B. Mishra

We use the dynamical analysis to study the evolution of the universe at late time for the model in which the interaction between dark energy and dark matter is inspired by disformal transformation. We extend the analysis in the existing…

General Relativity and Quantum Cosmology · Physics 2017-06-06 Khamphee Karwan , Stharporn Sapa

We investigate the cosmological dynamics of FHDE within $f(T)$ gravity by employing the dynamical system approach in a spatially flat FRW background. By introducing appropriate dimensionless variables, the field equations are reformulated…

General Relativity and Quantum Cosmology · Physics 2026-02-23 Elangbam Chingkheinganba Meetei , S. Surendra Singh

The equilibrium properties of classical self-gravitating systems in the grand canonical ensemble are studied by using the correspondence with an euclidean field theory with infrared and ultraviolet cutoffs. It is shown that the system…

Astrophysics · Physics 2007-05-23 Victor Laliena

A scalar-tensor theory of gravity can be made not only to account for the current cosmic acceleration, but also to satisfy solar-system and laboratory constraints, by introducing a non-linear derivative interaction for the scalar field.…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-13 Tsutomu Kobayashi , Hiroyuki Tashiro , Daichi Suzuki

In this paper, we have emphasized the stability analysis of the accelerating cosmological models obtained in $f(T)$ gravity theory. The behavior of the models based on the evolution of the equation of state parameter shows phantom-like…

General Relativity and Quantum Cosmology · Physics 2022-05-25 L. K. Duchaniya , Santosh V Lohakare , B. Mishra , S. K. Tripathy

In this work we investigate the asymptotic cosmological dynamics of a modified gravity model based on the $f(R,T^\phi)$ theory, where $R$ denotes the Ricci scalar and $T^\phi$ is the trace of the stress-energy tensor of a scalar field.…

General Relativity and Quantum Cosmology · Physics 2025-12-25 Joaquin Estevez-Delgado , Roberto De Arcia , Gabino Estevez-Delgado , Israel Quiros

The dynamical behaviors of FRW Universe containing a posivive/negative potential scalar field in loop quantum cosmology scenario are discussed. The method of the phase-plane analysis is used to investigate the stability of the Universe. It…

General Relativity and Quantum Cosmology · Physics 2014-02-03 Xiao Liu , Kui Xiao , Jian-Yang Zhu

In this paper, we investigate the first and second order cosmological perturbations in the light mass Galileon (LMG) scenario. LMG action includes cubic Galileon term along with the standard kinetic term and a potential which is added…

General Relativity and Quantum Cosmology · Physics 2017-07-12 Md. Wali Hossain

Dynamical systems methods are used to investigate global behavior of the spatially flat Friedmann-Robertson-Walker cosmological model in gravitational theory with a non-minimally coupled scalar field and a constant potential function. We…

General Relativity and Quantum Cosmology · Physics 2015-11-11 Orest Hrycyna , Marek Szydlowski

In this work we try to understand the late time acceleration of the universe by assuming some modification in the geometry of the space and using dynamical system analysis. This technique allows to understand the behavior of the universe…

General Relativity and Quantum Cosmology · Physics 2021-11-18 Parth Shah , Gauranga C. Samanta

The late time accelerated expansion of the universe can be realized using scalar fields with given self-interacting potentials. Here we consider a straightforward approach where a three cosmic fluid mixture is assumed. The fluids are…

General Relativity and Quantum Cosmology · Physics 2018-07-25 Parth Shah , Gauranga C. Samanta , Salvatore Capozziello

We consider non-local Integral Kernel Theories of Gravity in a homogeneous and isotropic universe background as a possible scenario to drive the cosmic history. In particular, we investigate the cosmological properties of a gravitational…

General Relativity and Quantum Cosmology · Physics 2024-09-02 Salvatore Capozziello , Rocco D'Agostino , Orlando Luongo

Teleparallel based cosmological models provide a description of gravity in which torsion is the mediator of gravitation. Several extensions have been made within the so-called Teleparallel equivalent of general relativity which is…

General Relativity and Quantum Cosmology · Physics 2023-01-18 L. K. Duchaniya , S. A. Kadam , Jackson Levi Said , B. Mishra

The flows of phase trajectories of cosmological models based on the vacuum classical Higgs field and their behavior on the Einstein-Higgs surface near singular points of a dynamical system are investigated by numerical simulation. The…

General Relativity and Quantum Cosmology · Physics 2022-03-28 Yu. G. Ignat'ev , A. R. Samigullina

A number of dynamical system formulations have been proposed over the last few years to analyse cosmological solutions in $f(R)$ gravity. The aim of this article is to provide a brief introduction to the different approaches, presenting…

General Relativity and Quantum Cosmology · Physics 2022-05-06 Saikat Chakraborty , Peter K. S. Dunsby , Kelly Macdevette

The modified gravity is considered in the framework of the holographic dark energy. An analysis of the autonomous system, the critical points and their stability is presented. Unlike the dark energy models based on $f(R)$, it is found that…

General Relativity and Quantum Cosmology · Physics 2020-03-18 L. N. Granda , G. D. Rojas