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Related papers: Solar System tests and chameleon effect in f (R) g…

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We study both analytically and numerically the gravitational fields of stars in f(R) gravity theories. We derive the generalized Tolman-Oppenheimer-Volkov equations for these theories and show that in metric f(R) models the Parameterized…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Kimmo Kainulainen , Johanna Piilonen , Vappu Reijonen , Daniel Sunhede

We compute the complete post-Newtonian limit of the Palatini 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…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Gonzalo J. Olmo

Theories that attempt to explain cosmic acceleration by modifying gravity typically introduces a long-range scalar force that needs to be screened on small scales. One common screening mechanism is the chameleon, where the scalar force is…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-20 Philip Chang , Lam Hui

In this paper, we have introduced a new $f(R)$ gravity model as an attempt to have a model with more parametric control, so that the model can be used to explain the existing problems as well as to explore new directions in physics of…

General Relativity and Quantum Cosmology · Physics 2020-12-03 Dhruba Jyoti Gogoi , Umananda Dev Goswami

Theories that attempt to explain the observed cosmic acceleration by modifying general relativity all introduce a new scalar degree of freedom that is active on large scales, but is screened on small scales to match experiments. We show…

Cosmology and Nongalactic Astrophysics · Physics 2009-11-10 Lam Hui , Alberto Nicolis , Christopher Stubbs

Scalar-tensor theories of gravity modify General Relativity by introducing a scalar field that couples non-minimally to the metric tensor, while satisfying the weak-equivalence principle. These theories are interesting because they have the…

General Relativity and Quantum Cosmology · Physics 2017-09-27 David Anderson , Nicolas Yunes

This work systematically investigates the post-Newtonian behavior of general quadratic gravity in the weak-field regime. By extending the Einstein-Hilbert action to include quadratic curvature terms as $\mathcal{L}\propto R-\lambda C^2+\mu…

General Relativity and Quantum Cosmology · Physics 2026-04-28 Jie Zhu , Hao Li

We argue that Solar system tests do not rule out 1/R gravity at least due to the reason addressed in Phys. Rev. D 74 (2006) 121501 [astro-ph/0610483] (ref. [1]) and subsequent published papers. Ref. [1] has not only modified the…

Astrophysics · Physics 2009-12-28 Qasem Exirifard

In gravity theories derived from a f(R) Lagrangian, matter is usually supposed to be minimally coupled to the metric, which hence defines a ``Jordan frame.'' However, since the field equations are fourth order, gravity possesses an extra…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Nathalie Deruelle , Misao Sasaki , Yuuiti Sendouda

We solve the field equations of modified gravity for $f(R)$ model in metric formalism. Further, we obtain the fixed points of the dynamical system in phase space analysis of $f(R)$ models, both with and without the effects of radiation.…

General Relativity and Quantum Cosmology · Physics 2018-01-26 Murli Manohar Verma , Bal Krishna Yadav

Light scalar fields can drive the accelerated expansion of the universe. Hence, they are obvious dark energy candidates. To make such models compatible with tests of General Relativity in the solar system and "fifth force" searches on…

Instrumentation and Methods for Astrophysics · Physics 2014-11-07 S. Baum , G. Cantatore , D. H. H. Hoffmann , M. Karuza , Y. K. Semertzidis , A. Upadhye , K. Zioutas

The acceleration of the expansion of the Universe has led to the construction of Dark Energy models where a light scalar field may have a range reaching up to cosmological scales. Screening mechanisms allow these models to evade the tight…

High Energy Physics - Theory · Physics 2012-11-26 Philippe Brax

We present an extension of general relativity in which an $f(R)$ term \`{a} la Palatini is added to the usual metric Einstein-Hilbert Lagrangian. Expressing the theory in a dynamically equivalent scalar-tensor form, we show that it can pass…

General Relativity and Quantum Cosmology · Physics 2013-01-11 S. Capozziello , T. Harko , T. S. Koivisto , Francisco S. N. Lobo , Gonzalo J. Olmo

In this paper, we carry out a study of viable cosmological models in $f(R)$-gravity at the background level. We use observable parameters like $\Omega$ and $\gamma$ to form autonomous system of equations and show that the models under…

Cosmology and Nongalactic Astrophysics · Physics 2010-05-28 Amna Ali , Radouane Gannouji , M. Sami , Anjan A. Sen

In the framework of $f(T)$ theories of gravity, we solve the field equations for $f(T)=T+\alpha T^{n}$, in the weak-field approximation and for spherical symmetry spacetime. Since $f(T)=T$ corresponds to Teleparallel Gravity, which is…

General Relativity and Quantum Cosmology · Physics 2015-08-13 Lorenzo Iorio , Ninfa Radicella , Matteo Luca Ruggiero

The general relativistic treatment of gravitation can be extended by preserving the geometrical nature of the theory but modifying the form of the coupling between curvature and stress tensors. The gravitation constant is thus replaced by…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Marc-Thierry Jaekel , Serge Reynaud

In this work we show that the gravity lagrangian f(R) at relatively low curvatures in both metric and Palatini formalisms is a bounded function that can only depart from the linearity within the limits defined by well known functions. We…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Gonzalo J. Olmo

We show that, as a result of non-linear self-interactions, it is feasible, at least in light of the bounds coming from terrestrial tests of gravity, measurements of the Casimir force and those constraints imposed by the physics of compact…

High Energy Physics - Phenomenology · Physics 2008-11-26 David F. Mota , Douglas J. Shaw

After a decade and a half of research motivated by the accelerating universe, theory and experiment have a reached a certain level of maturity. The development of theoretical models beyond \Lambda, or smooth dark energy, often called…

Cosmology and Nongalactic Astrophysics · Physics 2015-02-25 Austin Joyce , Bhuvnesh Jain , Justin Khoury , Mark Trodden

The post-Newtonian (PN) perturbative framework has been successful in understanding the slow-motion, weak field limit of Einstein's theory of gravity on solar system scales, and for isolated astrophysical systems. The parameterized…

General Relativity and Quantum Cosmology · Physics 2017-10-11 Viraj A. A. Sanghai