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We use the parameterized post-Newtonian (PPN) formalism to explore the weak field approximation of teleparallel gravity non-minimally coupling to a scalar field $\phi$, with arbitrary coupling function $\omega(\phi)$ and potential…

General Relativity and Quantum Cosmology · Physics 2025-03-28 Zu-Cheng Chen , You Wu , Hao Wei

Two different ways of generalizing Einstein's general theory of relativity with a cosmological constant to Brans-Dicke type scalar-tensor theories are investigated in the linearized field approximation. In the first case a cosmological…

General Relativity and Quantum Cosmology · Physics 2018-02-07 Hatice Özer , Özgür Delice

The $\omega\to\infty$ limit of Brans-Dicke theory is studied with the help of the conformal transformation approach without resorting, however, to the conformal invariance property of this formalism, that is shown to be spurious.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Israel Quiros

In this review we aim to describe the most stringent tests of the strong equivalence principle, the fundamental principle of General Relativity, using pulsar timing. For this purpose, we first construct the parametrized post-Newtonian and…

General Relativity and Quantum Cosmology · Physics 2019-06-10 Cyril Renevey

In most studies of equivalence principle violation by solar system bodies, it is assumed that the ratio of gravitational to inertial mass for a given body deviates from unity by a parameter Delta which is proportional to its gravitational…

General Relativity and Quantum Cosmology · Physics 2009-12-30 J. M. Overduin

The standard tenet that Brans-Dicke theory reduces to general relativity in the omega-tends-to-infinity limit has been shown to be false when the trace of the matter energy-momentum tensor vanishes. The issue is clarified in a new approach…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Valerio Faraoni

Generally the Brans-Dicke theory reduces to General Relativity in the limit $\omega\rightarrow\infty$ if the scalar field goes as $\phi\propto1/\omega$. However, it is also known that there are examples with $\phi\propto1/\sqrt{\omega}$…

General Relativity and Quantum Cosmology · Physics 2019-10-23 G. Brando , J. C. Fabris , F. T. Falciano , Olesya Galkina

Previous solar system constraints of the Brans-Dicke (BD) parameter $\omega$ have either ignored the effects of the scalar field potential (mass terms) or assumed a highly massive scalar field. Here, we interpolate between the above two…

General Relativity and Quantum Cosmology · Physics 2010-05-12 L. Perivolaropoulos

The current effort to test General Relativity employs multiple disparate formalisms for different observables, obscuring the relations between laboratory, astrophysical and cosmological constraints. To remedy this situation, we develop a…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-09 Tessa Baker , Dimitrios Psaltis , Constantinos Skordis

The equivalence between f(R) gravity and scalar-tensor theories is invoked to study the null, strong, weak and dominant energy conditions in Brans-Dicke theory. We consider the validity of the energy conditions in Brans-Dicke theory by…

General Relativity and Quantum Cosmology · Physics 2009-08-25 K. Atazadeh , A. Khaleghi , H. R. Sepangi , Y. Tavakoli

We formulate a theory combining the principles of a scalar-tensor gravity and Rastall's proposal of a violation of the usual conservation laws. We obtain a scalar-tensor theory with two parameters $\omega$ and $\lambda$, the latter…

General Relativity and Quantum Cosmology · Physics 2014-11-27 Thiago R. P. Caramês , Mahamadou H. Daouda , Júlio C. Fabris , Adriano M. de Oliveira , Oliver F. Piattella , Vladimir Strokov

In context of Brans-Dicke scalar-tensor theories of gravity, it has recently been obtained that the post-Newtonian parameters should be generalized in the context of strongly gravitating bodies, and that its generalization -- the so-called…

General Relativity and Quantum Cosmology · Physics 2026-02-13 Thomas Chehab , Olivier Minazzoli

As an extension of previous works on classical tests of Kaluza-Klein (KK) gravity and as an attempt to find more stringent constraints on this theory, its effects on physical experiments and astronomical observations conducted in the Solar…

General Relativity and Quantum Cosmology · Physics 2015-11-24 Xue-Mei Deng , Yi Xie

We explore the possibility of testing modified gravity exhibiting the Vainshtein mechanism against observations of cluster lensing. We work in the most general scalar-tensor theory with second-order field equations (Horndeski's theory), and…

Cosmology and Nongalactic Astrophysics · Physics 2013-06-14 Tatsuya Narikawa , Tsutomu Kobayashi , Daisuke Yamauchi , Ryo Saito

In this paper we discuss a model which can be considered as a generalization of the well-known scalar-tensor Brans-Dicke theory. This model possesses an interesting feature: due to Born-Infeld type non-linearity of the scalar field the…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Mikhail N. Smolyakov

We study observational bounds in a class of scalar-tensor gravity theories recently proposed. Either an upper or lower bound on a conformal factor in these theories is derived from null observation in composition dependent fifth force…

Cosmology and Nongalactic Astrophysics · Physics 2025-05-14 Kunio Kaneta , Kin-ya Oda , Motohiko Yoshimura

Solar System tests give nowadays constraints on the estimated value of the cosmological constant, which can be accurately derived from different experiments regarding gravitational redshift, light deflection, gravitational time-delay and…

Astrophysics · Physics 2008-11-26 Gianluca Allemandi , Matteo Luca Ruggiero

It is shown that the recently proposed interpretation of the transposed equi-affine theory of gravity as a theory with variable Plank "constant" is inconsistent with basic solar system gravitational experiments.

General Relativity and Quantum Cosmology · Physics 2009-10-31 P. Fiziev , S. Yazadjiev

The Brans-Dicke Theory of Gravity is one of the most promising alternatives to the Einstein's Theory of General Relativity. We have examined an action term with wrong signs for both the kinetic and mass terms for the scalar field and have…

General Relativity and Quantum Cosmology · Physics 2007-06-22 Metin Arik , Tunc Erkmen

The post-Newtonian parameter \gamma\ resulting from a universal scalar/matter coupling is investigated in Brans-Dicke-like Scalar-Tensor theories where the scalar potential is assumed to be negligible. Conversely to previous studies, we use…

General Relativity and Quantum Cosmology · Physics 2013-09-26 Olivier Minazzoli