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We sketch the main features of the Noether Symmetry Approach, a method to reduce and solve dynamics of physical systems by selecting Noether symmetries, which correspond to conserved quantities. Specifically, we take into account the…

广义相对论与量子宇宙学 · 物理学 2023-08-24 Francesco Bajardi , Salvatore Capozziello , Tiziana Di Salvo , Francesca Spinnato

We consider the dilaton gravity models derived by reductions of generalized theories of gravity and study one-dimensional dynamical systems simultaneously describing cosmological and static states in any gauge. Our approach is fully…

高能物理 - 理论 · 物理学 2015-06-19 A. T. Filippov

Palatini $f(R)$ gravity is probably the simplest extension of general relativity (GR) and the simplest realization of a metric-affine theory. It has the same number of degrees of freedom as GR and, in vacuum, it is straightforwardly mapped…

广义相对论与量子宇宙学 · 物理学 2023-10-10 Alejandro Hernandez-Arboleda , Davi C. Rodrigues , Júnior D. Toniato , Aneta Wojnar

We perform a phase space analysis of a non-minimally coupled modified gravity theory with the Lagrangian density of the form $\frac{1}{2} f_{1}(R)+[1+\lambda f_{2}(R)]{{\cal{L}}_{m}}$, where $f_1(R)$ and $f_2(R)$ are arbitrary functions of…

广义相对论与量子宇宙学 · 物理学 2014-06-03 Tahereh Azizi , Emad Yaraie

Discrepancies between observations at early and late cosmic epochs, and the vacuum energy problem associated with the interpretation of cosmological constant, are questioning the $\Lambda$CDM model. Motivated by these conceptual and…

广义相对论与量子宇宙学 · 物理学 2022-11-14 Francesco Bajardi , Rocco D'Agostino , Micol Benetti , Vittorio De Falco , Salvatore Capozziello

In the framework of $f(T)$-gravity theory, classical and quantum cosmology has been studied in the present work for FLRW space-time model. The Noether symmetry, a point-like symmetry of the Lagrangian is used to the physical system and a…

广义相对论与量子宇宙学 · 物理学 2023-03-15 Roshni Bhaumik , Sourav Dutta , Subenoy Chakraborty

We reconcile seemingly conflicting statements in the literature about the behavior of cosmological solutions in modified theories of gravity where the Einstein-Hilbert Lagrangian for gravity is modified by the addition of a function of the…

天体物理学 · 物理学 2008-11-26 Ignacy Sawicki , Wayne Hu

In this article, we examine the dynamical evolution of flat FRW cosmological model in $f(R, L_m)$ gravity theory. We consider the general form of $f(R, L_m)$ defined as $f(R, L_m) = \Lambda + \frac{\alpha}{2} R + \beta L_m^n$, where…

广义相对论与量子宇宙学 · 物理学 2025-02-14 Aman Shukla , Rakesh Raushan , Raghavendra Chaubey

The present work deals with scalar field cosmology in the framework of a quantum gravity modified Einstein-Hilbert Lagrangian with variable $G$ and $\Lambda$. Using Renormalization group, variable $G$ behaves as a minimally coupled filed…

广义相对论与量子宇宙学 · 物理学 2019-11-22 Santu Mondal , Sourav Dutta , Subenoy Chakraborty

We investigate further (cf. arXiv:1512.01199, JCAP01 (2016) 040) Starobinsky cosmological model $R+\gamma R^2$ in the Palatini formalism with Chaplygin gas and baryonic matter as a source. For this aim we use dynamical system theory. The…

广义相对论与量子宇宙学 · 物理学 2017-09-29 Marek Szydlowski , Aleksander Stachowski , Andrzej Borowiec , Aneta Wojnar

Theories of physics can be considered viable if the initial value problem and the energy conditions are formulated self-consistently. The former allow a uniquely determined dynamical evolution of the system, and the latter guarantee that…

广义相对论与量子宇宙学 · 物理学 2015-06-08 Salvatore Capozziello , Francisco S. N. Lobo , José P. Mimoso

The $f(T)$ gravity is one of the extensions of teleparallel equivalent of general relativity, in which more general functions of the torsion scalar $T$ can be described. With the proposed functional form of $f(T) = \alpha T - \beta u^{-n} +…

广义相对论与量子宇宙学 · 物理学 2026-04-14 Suraj Kumar Behera , S. A. Kadam , Pratik P. Ray , B. Mishra

In this paper, we study cosmic evolutionary stages in the background of modified theory admitting non-minimal coupling between Ricci scalar, trace of the energy-momentum tensor, contracted Ricci and energy-momentum tensors. For dust…

广义相对论与量子宇宙学 · 物理学 2024-01-17 Iqra Nawazish , M. Sharif

In this work we study the cosmology of the general f(T) gravity theory. We express the modified Einstein equations using covariant quantities, and derive the gauge-invariant perturbation equations in covariant form. We consider a specific…

宇宙学与河外天体物理 · 物理学 2011-11-02 Baojiu Li , Thomas P. Sotiriou , John D. Barrow

We study modified theories of gravity of the f(R) type in Palatini formalism. For a generic f(R) lagrangian, we show that the metric can be solved as the product of a scalar function times a rank-two tensor (or auxiliary metric). The scalar…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Gonzalo J. Olmo

We consider a novel class of $f(\R)$ gravity theories where the connection is related to the conformally scaled metric $\hat g_{\mu\nu}=C(\R)g_{\mu\nu}$ with a scaling that depends on the scalar curvature $\R$ only. We call them C-theories…

广义相对论与量子宇宙学 · 物理学 2011-02-18 Luca Amendola , Kari Enqvist , Tomi Koivisto

We describe how to reconstruct generalized scalar-tensor gravity (GSTG) theory, which admits exact solutions for physical type of the potentials. Our consideration deals with cosmological inflationary models based on GSTG with non-minimal…

广义相对论与量子宇宙学 · 物理学 2020-05-20 I. V. Fomin , S. V. Chervon , A. V. Tsyganov

This study investigates the cosmological dynamics of an accelerating universe within the framework of teleparallel gravity using an exponential f(T) functional form. To obtain exact cosmological solutions, a hybrid scale factor is employed…

广义相对论与量子宇宙学 · 物理学 2026-05-27 Rajalakshmi Jena , Vishal M C , Sankarsan Tarai

In recent years, modifications to General Relativity (GR) have been explored to address cosmological observations, particularly in the context of late-time cosmic acceleration. Among these, modifications based on the Teleparallel Equivalent…

宇宙学与河外天体物理 · 物理学 2025-08-29 Saurabh Verma , Archana Dixit , Anirudh Pradhan , M. S. Barak

We study the late-time cosmological expansion of a modified teleparallel gravity model of type logarithmic type. This modified gravitational lagrangian yields a cosmological constant term and also power-law corrections to the teleparallel…

广义相对论与量子宇宙学 · 物理学 2025-10-27 Adriel O. Aquino , Euclides G. Silva