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Related papers: Avoiding Dark Energy with 1/R Modifications of Gra…

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It is proposed that dark energy may become dominant over standard matter due to universe expansion (curvature decrease). Two models: non-linear gravity-matter system and modified gravity may provide the effective phantom or effective…

Astrophysics · Physics 2008-11-26 Shin'ichi Nojiri , Sergei D. Odintsov

We derive the equation of matter density perturbations on sub-horizon scales for a general Lagrangian density f(R, phi, X) that is a function of a Ricci scalar R, a scalar field phi and a kinetic term X=-(nabla phi)^2/2. This is useful to…

Astrophysics · Physics 2008-12-18 Shinji Tsujikawa

The effects which quantum fields and an $\alpha_0 R^2$ term in the gravitational Lagrangian have on future singularities are investigated. While all values of $\alpha_0$ are considered, an emphasis is placed on those values which are…

General Relativity and Quantum Cosmology · Physics 2017-08-24 Eric D. Carlson , Paul R. Anderson , John R. Einhorn , Bradley Hicks , Andrew J. Lundeen

It is obtained that dark energy emerges from higher-derivative gravity with anon-linear terms proportional to $R^2$ and $R^3$ with $R$ being the Ricci scalar curvature. Interestingly, it is found that the universe begins with acceleration,…

Astrophysics · Physics 2008-11-26 S. K. Srivastava

The minimal metagravity theory, explicitly violating the general covariance but preserving the unimodular one, is applied to study the evolution of the isotropic homogeneous Universe. The massive scalar graviton, contained in the theory in…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Yu. F. Pirogov

Motivated by reported claims of the measurements of a variation of the fine structure constant $\alpha$ we consider a theory where the electric charge, and consequently $\alpha$, is not a constant but depends on the Ricci scalar $R$. %We…

Cosmology and Nongalactic Astrophysics · Physics 2014-03-11 Antonio Enea Romano

There are so many ideas that potentially explain the dark energy phenomenon, current research is focusing on a more in-depth analysis of the potential effects of modified gravity on both local and cosmic scales. In this paper we have…

General Relativity and Quantum Cosmology · Physics 2025-11-24 S. H. Shekh , Hira Sohail , Irfan Mahmood , Allah Ditta , Anil Kumar Yadav

Recent progress seems to suggest that one must modify General Relativity (GR) to stably violate the null energy condition and avoid the cosmological singularity. However, with the higher-order derivative operators of scalar field (a…

General Relativity and Quantum Cosmology · Physics 2019-10-18 Gen Ye , Yun-Song Piao

We analyse the role, on large cosmological scales and laboratory experiments, of the leading curvature squared contributions to the low energy effective action of gravity. We argue for a natural relationship $c_0\lambda^2\simeq 1$ at…

Cosmology and Nongalactic Astrophysics · Physics 2018-05-23 Philippe Brax , Patrick Valageas , Pierre Vanhove

All $f(R)$ modified gravity theories are conformally identical to models of quintessence in which matter is coupled to dark energy with a strong coupling. This coupling induces a cosmological evolution radically different from standard…

Astrophysics · Physics 2008-11-26 Luca Amendola , David Polarski , Shinji Tsujikawa

We show the importance of properly including the perturbations of the dark energy component in the dynamical dark energy models based on a scalar field and modified gravity theories in order to meet with present and future observational…

Cosmology and Nongalactic Astrophysics · Physics 2009-10-29 Chan-Gyung Park , Jai-chan Hwang , Jae-heon Lee , Hyerim Noh

We analyze consequences of trying to replace dark matter and dark energy with models of stochastic spacetime. In particular, we analyze the model put forth by Ref. [1], in which it is claimed that ``post-quantum classical gravity" (PQCG), a…

General Relativity and Quantum Cosmology · Physics 2024-09-23 Mark P. Hertzberg , Abraham Loeb

We develop an approach to compute observables beyond the linear regime of dark matter perturbations for general dark energy and modified gravity models. We do so by combining the Effective Field Theory of Dark Energy and Effective Field…

Cosmology and Nongalactic Astrophysics · Physics 2020-01-07 Giulia Cusin , Matthew Lewandowski , Filippo Vernizzi

We investigate the cosmological applications of a bi-scalar modified gravity that exhibits partial conformal invariance, which could become full conformal invariance in the absence of the usual Einstein-Hilbert term and introducing…

General Relativity and Quantum Cosmology · Physics 2016-04-27 Emmanuel N. Saridakis , Minas Tsoukalas

Among many alternative gravitational theories to General Relativity (GR), $f(R,T)$ gravity (where $R$ is the Ricci scalar and $T$ the trace of the energy-momentum tensor) has been widely studied recently. By adding a matter contribution to…

General Relativity and Quantum Cosmology · Physics 2017-07-05 Hermano Velten , Thiago R. P. Caramês

Linear cosmological perturbations of a large class of modified gravity and dark energy models can be unified in the effective field theory of cosmic acceleration, encompassing Horndeski scalar-tensor theories and beyond. The fully available…

Cosmology and Nongalactic Astrophysics · Physics 2015-11-25 Lucas Lombriser , Andy Taylor

Motivated by the holographic principle, it has been suggested that the dark energy density may be inversely proportional to the area $A$ of the event horizon of the universe. However, such a model would have a causality problem. In this…

General Relativity and Quantum Cosmology · Physics 2012-06-06 Antonio Pasqua , A. Khodam-Mohammadi , Mubasher Jamil , R. Myrzakulov

We propose a dynamical (quintessence) model of dark energy in the current universe with a renormalizable (Higgs-like) scalar potential. We prove the viability of our model (after fine tuning) for the certain range of the average scalar…

High Energy Physics - Theory · Physics 2015-03-17 Sergei V. Ketov , N. Watanabe

General Relativity (GR) is a phenomenologically successful theory that rests on firm foundations, but has not been tested on cosmological scales. The advent of dark energy (and possibly even the requirement of cold dark matter), has…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Constantinos Skordis

Cosmological scaling solutions, which give rise to a scalar-field density proportional to a background fluid density during radiation and matter eras, are attractive to alleviate the energy scale problem of dark energy. In the presence of…

General Relativity and Quantum Cosmology · Physics 2010-03-25 Junko Ohashi , Shinji Tsujikawa