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We study the structure of neutron stars in $f(R)=R+\alpha R^{2}$ theory of gravity (Starobinsky model), in an exact and non-perturbative approach. In this model, apart from the standard General Relativistic junction conditions, two extra…

广义相对论与量子宇宙学 · 物理学 2014-05-01 Apratim Ganguly , Radouane Gannouji , Rituparno Goswami , Subharthi Ray

We review recent progress in the construction of modified gravity models as alternatives to dark energy as well as the development of cosmological tests of gravity. Einstein's theory of General Relativity (GR) has been tested accurately…

宇宙学与河外天体物理 · 物理学 2016-03-24 Kazuya Koyama

We refute recent claims in the literature that stars with relativistically deep potentials cannot exist in $f(R)$ gravity. Numerical examples of stable stars, including relativistic ($GM_\star/r_\star \sim 0.1$), constant density stars, are…

宇宙学与河外天体物理 · 物理学 2009-11-06 Amol Upadhye , Wayne Hu

We compute the complete post-Newtonian limit of the metric form of f(R) gravities using a scalar-tensor representation. By comparing the predictions of these theories with laboratory and solar system experiments, we find a set of…

广义相对论与量子宇宙学 · 物理学 2013-05-29 Gonzalo J. Olmo

We consider a class of higher order corrections with arbitrary power $n$ of the curvature tensor to the standard gravity action in arbitrary space-time dimension $D$. The corrections are in the form of Euler densities and are unique at each…

高能物理 - 理论 · 物理学 2008-11-26 Krzysztof A. Meissner , Marek Olechowski

General Relativity is expected to break down in the high-curvature regime. Beyond an effective field theory treatment with higher-order operators, it is important to identify consistent theories with higher-curvature terms at the…

广义相对论与量子宇宙学 · 物理学 2025-10-22 Fabrizio Corelli , Paolo Pani , Andrea P. Sanna

We discuss neutron stars with strong magnetic mean fields in the framework of Extended Theories of Gravity. In particular, we take into account models derived from $f(R)$ and $f(\cal G)$ extensions of General Relativity where functions of…

广义相对论与量子宇宙学 · 物理学 2015-06-22 Artyom V. Astashenok , Salvatore Capozziello , Sergei D. Odintsov

The influence of higher order (stringly inspired) curvature corrections to the classical General Relativity spherically symmetric solution is studied. In string gravity these curvature corrections have a special form and can provide a…

广义相对论与量子宇宙学 · 物理学 2007-05-23 M. Pomazanov , V. Kolubasova , S. Alexeyev

I briefly discuss the challenges presented by attempting to modify general relativity to obtain an explanation for the observed accelerated expansion of the universe. Foremost among these are the questions of theoretical consistency - the…

宇宙学与河外天体物理 · 物理学 2015-05-20 Mark Trodden

$f(R)$ theories of gravity are one of the most popular alternative explanations for dark energy and therefore studying the possible astrophysical implications of these theories is an important task. In the present paper we make a…

广义相对论与量子宇宙学 · 物理学 2015-06-23 Stoytcho S. Yazadjiev , Daniela D. Doneva , Kostas D. Kokkotas

The review is devoted to consideration of possible observational consequences of modified gravity theories, suggested for explanation of the contemporary accelerated expansion of the universe. The major attention is paid to F(R)-models. It…

广义相对论与量子宇宙学 · 物理学 2019-11-11 Elena Arbuzova

We discuss the possibility that suitable modifications of gravity could account for some amount of the radiation we observe today, in addition to the possibility of explaining the present speed up of the universe. We start introducing and…

广义相对论与量子宇宙学 · 物理学 2015-12-02 Joao Morais , Mariam Bouhmadi-Lopez , Salvatore Capozziello

We investigate the challenges of constructing neutron star (NS) solutions in $f(\mathbb{Q})$ gravity, highlighting the importance of treating the affine connection as an active, dynamical component of the theory. We begin by clarifying…

广义相对论与量子宇宙学 · 物理学 2025-12-03 Lavinia Heisenberg , Carlos Pastor-Marcos

$f(R)$ gravity is one of the simplest theories of modified gravity to explain the accelerated cosmic expansion. Although it is usually assumed that the quasi-Newtonian approach (a combination of the quasi-static approximation and sub-Hubble…

广义相对论与量子宇宙学 · 物理学 2015-12-02 Mu-Chen Chiu , Andy Taylor , Chenggang Shu , Hong Tu

One way to account for the acceleration of the universe is to modify general relativity, rather than introducing dark energy. Typically, such modifications introduce new degrees of freedom. It is interesting to consider models with no new…

天体物理学 · 物理学 2011-05-12 Sean M. Carroll , Ignacy Sawicki , Alessandra Silvestri , Mark Trodden

We consider class of modified $f(R)$ gravities with the effective cosmological constant epoch at the early and late universe. Such models pass most of solar system tests as well they satisfy to cosmological bounds. Despite their very…

高能物理 - 理论 · 物理学 2008-11-26 Shin'ichi Nojiri , Sergei D. Odintsov

This thesis is devoted to the study of gravitational theories which can be seen as modifications or generalisations of General Relativity. The motivation for considering such theories, stemming from Cosmology, High Energy Physics and…

广义相对论与量子宇宙学 · 物理学 2011-11-10 Thomas P. Sotiriou

The theory of $f(R)$ gravity with constant curvature (i.e. constant scalar curvature) admits rotating and charged black hole solutions obtained from the Kerr-Newman-(A)dS metrics of general relativity through appropriate rescalings of the…

广义相对论与量子宇宙学 · 物理学 2026-03-10 Alikram N. Aliev , Göksel Daylan Esmer

We discuss two aspects of f(R) theories of gravity in metric formalism. We first study the reasons to introduce a scalar-tensor representation for these theories and the behavior of this representation in the limit to General Relativity,…

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

We review various modified gravities considered as gravitational alternative for dark energy. Specifically, we consider the versions of $f(R)$, $f(G)$ or $f(R,G)$ gravity, model with non-linear gravitational coupling or string-inspired…

高能物理 - 理论 · 物理学 2009-09-17 S. Nojiri , S. D. Odintsov