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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 this thesis, we study the implications of Quantum Gravity models for the dynamics of spacetime and the ensuing departures from classical General Relativity. The main focus is on cosmological applications, particularly the impact of…

广义相对论与量子宇宙学 · 物理学 2018-04-09 Marco de Cesare

The evolution of linear cosmological perturbations in modified theories of gravity is investigated assuming the Palatini formalism. It has been discussed about the stability problem in this model based on the equivalence between f(R)…

广义相对论与量子宇宙学 · 物理学 2008-06-18 Seokcheon Lee

We investigate the effect of the quadratic correction $\alpha R^2$ and non-minimal coupling $\xi \phi^2 R$ on a quintessence model with an exponential potential $V(\phi) = M^4\exp(-\lambda\phi)$ in the Palatini formulation of gravity. We…

广义相对论与量子宇宙学 · 物理学 2022-12-14 Ignatios Antoniadis , Anthony Guillen , Kyriakos Tamvakis

Recently, the phenomenology of f(R) gravity has been scrutinized motivated by the possibility to account for the self-accelerated cosmic expansion without invoking dark energy sources. Besides, this kind of modified gravity is capable of…

广义相对论与量子宇宙学 · 物理学 2015-08-28 Salvatore Capozziello , Tiberiu Harko , Tomi S. Koivisto , Francisco S. N. Lobo , Gonzalo J. Olmo

In the context of modified gravity, we point out how the Palatini version of these theories is singled out as a very special case corresponding to the unique fixed point of a transformation involving a special conformal rescaling of the…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Valerio Faraoni

We shall present and analyze two examples of extended theories of gravitation in Palatini formalism with matter that couples to the connection. This will show that the class of Further Extended Theories of Gravitation introduced in ref. [1]…

广义相对论与量子宇宙学 · 物理学 2011-01-05 L. Fatibene , M. Ferraris , M. Francaviglia , S. Mercadante

In this paper, we have explored the field equations of f(T, B) gravity as an extension of teleparallel gravity in an isotropic and homogeneous space time. In the basic formalism developed, the dynamical parameters are derived by…

广义相对论与量子宇宙学 · 物理学 2024-09-27 S. A. Kadam , Jackson Levi Said , B. Mishra

In this work, we study cosmological and astrophysical applications of the recently proposed generalized hybrid metric-Palatini gravity theory, which combines features of both the metric and the Palatini approaches to the variational method…

广义相对论与量子宇宙学 · 物理学 2019-11-20 João Luís Rosa

We show that extended theories of gravity with Lagrangian f(R,R_{\mu\nu}R^{\mu\nu}) in the Palatini formulation possess a phenomenology much richer than the simpler f(R) or f(R_{\mu\nu}R^{\mu\nu}) theories. In fact, we find that the scalars…

广义相对论与量子宇宙学 · 物理学 2010-02-23 Gonzalo J. Olmo , Helios Sanchis-Alepuz , Swapnil Tripathi

We analyze the evolution of a Friedmann-Robertson-Walker spacetime within the framework of $f(R)$ metric gravity using an exponential model. We show that $f(R)$ gravity may lead to a vanishing effective cosmological constant in the far…

广义相对论与量子宇宙学 · 物理学 2018-10-31 Luisa G. Jaime , Marcelo Salgado

This thesis explores the cosmological implications of modified gravity, focusing on nonmetricity-based $f(Q)$ gravity as an alternative to the $\Lambda$CDM model in explaining cosmic acceleration. Chapter I lays the theoretical groundwork…

广义相对论与量子宇宙学 · 物理学 2025-04-15 Gaurav N. Gadbail

Modified gravity can be considered as an alternative to dark energy. In a generalized theory of gravity, the universe may accelerate while containing only baryonic and dark matter. We study, in particular, the evolution of matter…

天体物理学 · 物理学 2008-11-26 Tomi Koivisto

We shall here propose a class of relativistic theories of gravitation, based on a foundational paper of Ehlers Pirani and Schild (EPS).All "extended theories of gravitation" (also known as f(R) theories) in Palatini formalism are shown to…

广义相对论与量子宇宙学 · 物理学 2011-01-05 M. Di Mauro , L. Fatibene , M. Ferraris , M. Francaviglia

We discuss the production and evolution of cosmological gravitons showing how the cosmological background affects their dynamics. Besides, the detection of cosmological gravitons could constitute an extremely important signature to…

广义相对论与量子宇宙学 · 物理学 2017-05-03 Salvatore Capozziello , Mariafelicia De Laurentis , Shin'ichi Nojiri , Sergei D. Odintsov

We present the first formulation of the recently proposed $f(R,\mathcal{L}_m,T)$ theory of gravity within the Palatini formalism, a well-known alternative variational approach where the metric and connection are treated as independent…

广义相对论与量子宇宙学 · 物理学 2024-11-26 J. G. de Lima Júnior , P. H. R. S. Moraes , E. Brito , J. A. S. Fortunato

Cosmography can be considered as a sort of a model-independent approach to tackle the dark energy/modified gravity problem. In this review, the success and the shortcomings of the $\Lambda$CDM model, based on General Relativity and standard…

广义相对论与量子宇宙学 · 物理学 2019-04-09 Salvatore Capozziello , Rocco D'Agostino , Orlando Luongo

We study nonlinear gravity theories in both the metric and the Palatini (metric-affine) formalisms. The nonlinear character of the gravity lagrangian in the metric formalism causes the appearance of a scalar source of matter in Einstein's…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Gonzalo J. Olmo , William Komp

Motivated by the properties of matter quantum fields in curved space-times, we work out a gravity theory that combines the Born-Infeld gravity Lagrangian with an $f(R)$ piece. To avoid ghost-like instabilities, the theory is formulated…

高能物理 - 理论 · 物理学 2014-09-18 Andrey N. Makarenko , Sergei Odintsov , Gonzalo J. Olmo

The recent discovery of a ghost-free, non-linear extension of the Fierz-Pauli theory of massive gravity, and its bigravity formulation, introduced new possibilities of interpreting cosmological observations, in particular, the apparent…

宇宙学与河外天体物理 · 物理学 2015-02-03 Yashar Akrami , Tomi S. Koivisto , Marit Sandstad