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Modifications to gravity that add additional functions of the Ricci curvature to the Einstein-Hilbert action -- collectively known as $f(R)$ theories -- have been studied in great detail. When considered as complete theories of gravity they…

天体物理学 · 物理学 2009-02-20 Simon DeDeo , Dimitrios Psaltis

The paper deals with $f(R)$ gravity theory in the background of inhomogeneous FLRW--type space time model. With proper choice of the inhomogeneous metric function it is possible to have an emergent scenario for the $f(R)$--cosmology.…

广义相对论与量子宇宙学 · 物理学 2018-11-14 Dipanjana Das , Sourav Dutta , Subenoy Chakraborty

$f(R)$-Gravity, a simple generalization of Einstein's General theory of Relativity has been considered in the context of Cosmology as one of the approaches to explain phenomena such as early-time inflation and late-time accelerated…

广义相对论与量子宇宙学 · 物理学 2026-01-06 Gahan Chattopadhyay , Soumitra Sengupta

The gravitino problem is investigated in the framework of Extended Gravity cosmologies. In particular, we consider $f(R)$ gravity, the most natural extension of the Hilbert-Einstein action, and $f(\cal T)$ gravity, the extension of…

广义相对论与量子宇宙学 · 物理学 2020-12-25 Salvatore Capozziello , Gaetano Lambiase

We study cosmologies in modified theories of gravity considering Lagrangian density $f(R)$ which is a polynomial function of scalar curvature ($R$) in the Einstein-Hilbert action in vacuum. The field equation obtained from the modified…

宇宙学与河外天体物理 · 物理学 2009-10-29 B. C. Paul , P. S. Debnath , S. Ghose

The actual accelerated expansion of the universe continues being a mystery in physics. Some models had been proposed for this explanations, among them the dark energy, which however has problems of experimental character as well as…

广义相对论与量子宇宙学 · 物理学 2012-11-13 Alejandro Guarnizo

We analyze the propagating degrees of freedom in gravity models where the scalar curvature in the action is replaced by a generic function $f(R)$ of the curvature. That these gravity models are equivalent to Einstein's gravity with an extra…

高能物理 - 理论 · 物理学 2007-05-23 Alvaro Nunez , Slava Solganik

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

Using an approach that treats the Ricci scalar itself as a degree of freedom, we analyze the cosmological evolution within an f(R) model that has been proposed recently (exponential gravity) and that can be viable for explaining the…

广义相对论与量子宇宙学 · 物理学 2012-11-02 Luisa Jaime , Marcelo Salgado , Leonardo Patino

Cosmic history can be traced considering further curvature contributions inside the gravitational action. Assuming that standard General Relativity can be extended by other curvature invariants, we discuss the possibility that an action…

广义相对论与量子宇宙学 · 物理学 2020-09-16 Ivan de Martino , Mariafelicia De Laurentis , Salvatore Capozziello

Here we analysed a particular type of $F(R)$ gravity, the so-called exponential gravity which includes an exponential function of the Ricci scalar in the action. Such term represents a correction to the usual Hilbert-Einstein action. By…

广义相对论与量子宇宙学 · 物理学 2018-01-17 Sergei D. Odintsov , Diego Saez-Chillon Gomez , German S. Sharov

Accelerating cosmological models are constructed in a modified gravity theory dubbed as $f(R,T)$ gravity at the backdrop of an anisotropic Bianchi type-III universe. $f(R,T)$ is a function of the Ricci scalar $R$ and the trace $T$ of the…

广义相对论与量子宇宙学 · 物理学 2017-06-21 S K Sahu , S K Tripathy , P K Sahoo , A Nath

We consider a maximal extension of the Hilbert-Einstein action and analyze several interesting features of the theory. More specifically, the motion is non-geodesic and takes place in the presence of an extra force. These models could lead…

广义相对论与量子宇宙学 · 物理学 2012-11-05 Francisco S. N. Lobo , Tiberiu Harko

We consider general curvature-invariant modifications of the Einstein-Hilbert action that become important only in regions of extremely low space-time curvature. We investigate the far future evolution of the universe in such models,…

In this work a new non-minimally coupled model is presented, where a generic function $f(R)$ of the scalar curvature factors the usual Einstein-Hilbert action functional, motivated by relevant results obtained from similar models. Its…

广义相对论与量子宇宙学 · 物理学 2016-11-22 R. P. L. Azevedo , J. Páramos

This review explores modified theories of gravity, particularly $f(R)$ gravity, as extensions to General Relativity (GR) that offer alternatives to dark energy for explaining cosmic acceleration. These models generalize the Einstein-Hilbert…

广义相对论与量子宇宙学 · 物理学 2025-03-05 Rafid H. Dejrah

There is sufficient amount of internal evidence in the nature of gravitational theories to indicate that gravity is an emergent phenomenon like, e.g, elasticity. Such an emergent nature is most apparent in the structure of gravitational…

宇宙学与河外天体物理 · 物理学 2015-06-05 T. Padmanabhan

Power-law corrections (having the exponent strictly between 2 and 3) to the Einstein-Hilbert action yield an extended theory of gravity which is consistent with Solar-System tests and properly reproduces the main phases of the Universe…

宇宙学与河外天体物理 · 物理学 2013-12-13 Salvatore Capozziello , Nakia Carlevaro , Mariafelicia De Laurentis , Massimiliano Lattanzi , Giovanni Montani

Recently, corrections of the $L(R)$ type to Einstein-Hilbert action that become important at small curvature are proposed. Those type of models intend to explain the observed cosmic acceleration without dark energy. We derive the full…

天体物理学 · 物理学 2009-11-10 Xinhe Meng , Peng Wang

The paper extends basic Einstein--Hilbert action by adding a newly proposed invariant constructed from a specific contraction between the Einstein tensor and the energy momentum tensor, encoding a non--minimal coupling between the…

广义相对论与量子宇宙学 · 物理学 2023-02-09 Mihai Marciu , Dana Maria Ioan
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