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We propose a new model of gravity where the Ricci scalar (R) in Einstein-Hilbert action is replaced by an arbitrary function of R and of the norm of energy-momentum tensor i.e., $f(R,T_{\mu\nu}T^{\mu\nu})$. Field equations are derived in…

广义相对论与量子宇宙学 · 物理学 2014-08-04 N. Katirci , Mehmet Kavuk

We consider a new form of theories of gravity in which the action is written in terms of the Ricci scalar and its first and second derivatives. Despite the higher derivative nature of the action, the theory is free from ghost under an…

广义相对论与量子宇宙学 · 物理学 2019-04-24 Atsushi Naruko , Daisuke Yoshida , Shinji Mukohyama

We investigate the dynamics of a family of functional extensions of the (Eddington-inspired) Born-Infeld gravity theory, constructed with the inverse of the metric and the Ricci tensor. We provide a generic formal solution for the…

高能物理 - 理论 · 物理学 2014-08-06 Sergei D. Odintsov , Gonzalo J. Olmo , D. Rubiera-Garcia

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

Recent elaborated by T. Harko and collaborators, the $f(R,T)$ theories of gravity contemplate an optimistic alternative to dark energy, for which $R$ and $T$ stand for the Ricci scalar and the trace of the energy-momentum tensor,…

广义相对论与量子宇宙学 · 物理学 2016-03-23 P. H. R. S. Moraes , J. R. L. Santos

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

The evidence of the acceleration of universe at present time has lead to investigate modified theories of gravity and alternative theories of gravity, which are able to explain acceleration from a theoretical viewpoint without the need of…

高能物理 - 理论 · 物理学 2011-05-05 Gianluca Allemandi , Andrzej Borowiec , Mauro Francaviglia

New classes of modified teleparallel theories of gravity are introduced. The action of this theory is constructed to be a function of the irreducible parts of torsion $f(T_{\rm ax},T_{\rm ten},T_{\rm vec})$, where $T_{\rm ax},T_{\rm ten}$…

广义相对论与量子宇宙学 · 物理学 2017-10-31 Sebastian Bahamonde , Christian G. Boehmer , Martin Krssak

This thesis explores the late-time cosmic acceleration within the framework of $f(R,T)$ gravity, a general relativity modification that incorporates the Ricci scalar $R$ and the trace of the energy-momentum tensor $T$. Motivated by…

广义相对论与量子宇宙学 · 物理学 2025-07-29 Parbati Sahoo

In this paper, we consider a gravitational action containing a combination of the Ricci scalar, $R$, and the topological Gauss--Bonnet term, $G$. Specifically, we study the cosmological features of a particular class of modified gravity…

广义相对论与量子宇宙学 · 物理学 2023-03-15 Francesco Bajardi , Rocco D'Agostino

In this work we study a modified version of vacuum $f(R)$ gravity with a kinetic term which consists of the first derivatives of the Ricci scalar. We develop the general formalism of this kinetic Ricci modified $f(R)$ gravity and we…

广义相对论与量子宇宙学 · 物理学 2018-11-14 S. V. Chervon , A. V. Nikolaev , T. I. Mayorova , S. D. Odintsov , V. K. Oikonomou

We consider predictions for structure formation from modifications to general relativity in which the Einstein-Hilbert action is replaced by a general function of the Ricci scalar. We work without fixing a gauge, as well as in explicit…

天体物理学 · 物理学 2010-04-06 Rachel Bean , David Bernat , Levon Pogosian , Alessandra Silvestri , Mark Trodden

We investigate the cosmological perturbations in generalized gravity, where the Ricci scalar and a scalar field are non-minimally coupled via an arbitrary function. In the Friedmann-Lemaitre-Robertson-Walker background, by studying the…

高能物理 - 理论 · 物理学 2009-07-30 Xiangdong Ji , Tower Wang

As is known from studies of gravity models in the Palatini formalism, there exist two inequivalent definitions of the generalized Ricci tensor in terms of the generalized curvature namely, $\widetilde{R}_{\mu\nu}=R^\rho_{\mu\rho\nu}$ and…

广义相对论与量子宇宙学 · 物理学 2021-10-14 Juliana Osorio Morales , Osvaldo Santillán

Recently, a new cosmological framework, dubbed Ricci Cosmology, has been proposed. Such a framework has emerged from the study of relativistic dynamics of fluids out of equilibrium in a curved background and is characterised by the presence…

广义相对论与量子宇宙学 · 物理学 2021-10-27 Roberto Caroli , Mariusz P. Dabrowski , Vincenzo Salzano

The Palatini $f(R,T)$ gravity theory is considered. The standard Einstein-Hilbert action is replaced by an arbitrary function of the Ricci scalar $R$ and of the trace $T$ of the energy-momentum tensor. In the Palatini approach, the Ricci…

广义相对论与量子宇宙学 · 物理学 2021-02-24 J. S. Gonçalves , A. F. Santos

In this work, we study nonconformally Ricci-flat gravitational instantons in four-dimensional Conformal Gravity, both in vacuum and in the presence of nonlinear conformal matter. First, the one-parameter extension of the Kerr-NUT-AdS metric…

高能物理 - 理论 · 物理学 2026-03-09 Cristóbal Corral , Borja Diez , Eleftherios Papantonopoulos

We discuss the consistency of a recently proposed class of theories described by an arbitrary function of the Ricci scalar, the trace of the energy-momentum tensor and the contraction of the Ricci tensor with the energy-momentum tensor. We…

高能物理 - 理论 · 物理学 2015-05-15 Ismael Ayuso , Jose Beltran Jimenez , Alvaro de la Cruz Dombriz

We consider alternative theories of gravity with a direct coupling between matter and the Ricci scalar We study the relation between these theories and ordinary scalar-tensor gravity, or scalar-tensor theories which include non-standard…

广义相对论与量子宇宙学 · 物理学 2010-05-12 Thomas P. Sotiriou , Valerio Faraoni

We investigate modified theories of gravity in the context of teleparallel geometries. It is well known that modified gravity models based on the torsion scalar are not invariant under local Lorentz transformations while modifications based…

广义相对论与量子宇宙学 · 物理学 2015-11-30 Sebastian Bahamonde , Christian G. Boehmer , Matthew Wright