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The best motivated alternatives to general relativity are scalar-tensor theories, in which the gravitational interaction is mediated by one or several scalar fields together with the usual graviton. The analysis of their various…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Gilles Esposito-Farese

We calculate the parameters $\gamma$ and $\beta$ in the parametrized post-Newtonian (PPN) formalism for scalar-tensor gravity (STG) with an arbitrary potential, under the assumption that the source matter is given by a non-rotating sphere…

General Relativity and Quantum Cosmology · Physics 2017-11-22 Manuel Hohmann , Andreas Schärer

We investigate the cosmological consequences of a scalar-vector-tensor theory of gravity known as MOG. In MOG, in addition to metric tensor, there are two scalar fields $G(x)$ and $\mu(x)$, and one vector field $\phi_{\alpha}(x)$. Using the…

General Relativity and Quantum Cosmology · Physics 2016-09-13 Sara Jamali , Mahmood Roshan

We study some particular modifications of gravity in search for a natural way to unify the gravitational and electromagnetic interaction. The certain components of connection in the appearing variants of the theory can be identified with…

General Relativity and Quantum Cosmology · Physics 2018-11-05 N. V. Kharuk , S. N. Manida , S. A. Paston , A. A. Sheykin

An obvious criterion to classify theories of modified gravity is to identify their gravitational degrees of freedom and their coupling to the metric and the matter sector. Using this simple idea, we show that any theory which depends on the…

General Relativity and Quantum Cosmology · Physics 2017-03-01 Xavier Calmet , Iberê Kuntz

A certain vector-tensor (VT) theory is revisited. It was proposed and analyzed as a theory of electromagnetism without the standard gauge invariance. Our attention is first focused on a detailed variational formulation of the theory, which…

Cosmology and Nongalactic Astrophysics · Physics 2013-01-15 Roberto Dale , Diego Sáez

In modified gravity, the one-loop matter power spectrum exhibits an ultraviolet divergence as shown in the framework of the degenerate higher-order scalar-tensor theory. To address this problem, we extend the effective field theory of large…

General Relativity and Quantum Cosmology · Physics 2022-10-04 Shin'ichi Hirano , Tomohiro Fujita

This paper describes general relativity at the gravito-electromagnetic precision level as a constrained field theory. In this novel formulation, the gravity field comprises two auxiliary fields, a static matter field and a moving matter…

General Physics · Physics 2020-03-17 Sergio Giardino

We investigate the possibility of reducing the number of degrees of freedom (d.o.f.) starting from generic metric theories of gravity by introducing multiple auxiliary constraints (ACs), under the restriction of retaining spatial covariance…

General Relativity and Quantum Cosmology · Physics 2023-05-31 Zhi-Bang Yao , Michele Oliosi , Xian Gao , Shinji Mukohyama

In this paper we constrain the sizes of hypothetical new weak forces by making use the data coming from the precession of Planets. We consider the weak field approximation of Scalar-Tensor Fourth Order Gravity (STFOG), which include several…

General Relativity and Quantum Cosmology · Physics 2022-07-20 Antonio Capolupo , Gaetano Lambiase , Antonio Tedesco

It has frequently been claimed in the literature that the classical physical predictions of scalar tensor theories of gravity depend on the conformal frame in which the theory is formulated. We argue that this claim is false, and that all…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Eanna E. Flanagan

We develop the effective field theory approach to torsional modified gravities, a formalism that allows for the systematic investigation of the background and perturbation levels separately. Starting from the usual effective field theory…

General Relativity and Quantum Cosmology · Physics 2018-10-03 Chunlong Li , Yong Cai , Yi-Fu Cai , Emmanuel N. Saridakis

In this paper, we have investigated one of the alternative theories to dark matter named MOdified Gravity (MOG) by testing its ability to describe the local dynamics of the Milky Way in vertical and transverse directions with the baryonic…

Astrophysics of Galaxies · Physics 2020-06-15 Zahra Davari , Sohrab Rahvar

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

We study the interaction of a quantum mechanical particle with gravitational wave (GW) in the framework of modified theory of gravity (MTG) where apart from the two standard tensorial modes of polarization of GW there exists another…

General Relativity and Quantum Cosmology · Physics 2024-08-22 Rakesh Das , Anirban Saha

The metric-affine gravity provides a useful framework for analyzing gravitational dynamics since it treats metric tensor and affine connection as fundamentally independent variables. In this work, we show that, a metric-affine gravity…

General Relativity and Quantum Cosmology · Physics 2013-02-05 Canan N. Karahan , Asli Altas , Durmus A. Demir

I address some problems encountered in the formulation of relativistic models encompassing the MOND phenomenology of radial acceleration. I explore scalar and vector theories with fractional kinetic terms and $f(R)$-type gravity, demanding…

General Relativity and Quantum Cosmology · Physics 2020-08-19 K. Zatrimaylov

The Parametrized Post-Newtonian expansion of gravitational theories with a scalar field coupled to the Gauss-Bonnet invariant is performed and confrontation of such theories with Solar system experiments is discussed.

General Relativity and Quantum Cosmology · Physics 2008-11-26 Thomas P. Sotiriou , Enrico Barausse

Modified gravity theories predict in general a non standard equation for the propagation of gravitational waves. Here we discuss the impact of modified friction and speed of tensor modes on cosmic microwave polarization B modes. We show…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-22 Valeria Pettorino , Luca Amendola

Primordial gravitational waves constitute a promising probe of the very early Universe and the laws of gravity. We study in this work changes to tensor-mode perturbations (TMPs) that can arise in various proposed modified gravity (MG)…

Cosmology and Nongalactic Astrophysics · Physics 2016-12-28 Weikang Lin , Mustapha Ishak