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We express explicitly all parameters of the most general Two-Higgs-Doublet Model (2HDM) scalar potential via measurable ({\it basic}) quantities plus additional parameters specifying the basis choice. The full set of basic parameters is…

High Energy Physics - Phenomenology · Physics 2015-05-19 I. F. Ginzburg , K. A. Kanishev

We discuss in detail the weak field limit of f(R,G) gravity taking into account analytic functions of the Ricci scalar R and the Gauss-Bonnet invariant G. Specifically, we develop, in metric formalism, the Newtonian, Post Newtonian and…

General Relativity and Quantum Cosmology · Physics 2014-11-13 Mariafelicia De Laurentis , Antonio Jesus Lopez-Revelles

To explain the recently reported large-scale spatial variations of the fine structure constant $\alpha$, we apply some models of curvature-nonlinear multidimensional gravity. Under the reasonable assumption of slow changes of all quantities…

General Relativity and Quantum Cosmology · Physics 2013-12-31 K. A. Bronnikov , M. V. Skvortsova

The scalar-tensor theory can be formulated in both Jordan and Einstein frames, which are conformally related together with a redefinition of the scalar field. As the solution to the equation of the scalar field in the Jordan frame does not…

General Relativity and Quantum Cosmology · Physics 2020-05-07 Chao-Qiang Geng , Hao-Jui Kuan , Ling-Wei Luo

Scalar-tensor (ST) gravity theories provide an appropriate theoretical framework for the variation of Newton's fundamental constant, conveyed by the dynamics of a scalar-field non-minimally coupled to the space-time geometry. The…

General Relativity and Quantum Cosmology · Physics 2015-05-27 José P. Mimoso , Francisco S. N. Lobo

We derive the field equations and the equations of motion for massive test particles in modified theories of gravity with an arbitrary coupling between geometry and matter by using the Palatini formalism. We show that the independent…

General Relativity and Quantum Cosmology · Physics 2011-07-05 Tiberiu Harko , Tomi S. Koivisto , Francisco S. N. Lobo

We use results by Kirilin to show that in general relativity the nonleading terms in the energy-momentum tensor of a particle depends on the parameterization of the gravitational field. While the classical metric that is calculated from…

General Relativity and Quantum Cosmology · Physics 2008-11-26 N. E. J. Bjerrum-Bohr , John F. Donoghue , Barry R. Holstein

We impose the first strong-lensing constraints on a wide class of modified gravity models where an extra field that modifies gravity also couples to photons (either directly or indirectly through a coupling with baryons) and thus modifies…

Cosmology and Nongalactic Astrophysics · Physics 2019-01-09 De-Chang Dai , Dejan Stojkovic , Glenn D. Starkman

The cosmological phenomenology of gravity is typically studied in two limits: relativistic perturbation theory (on large scales) and Newtonian gravity (required for smaller, non-linear, scales). Traditional approaches to model-independent…

General Relativity and Quantum Cosmology · Physics 2020-07-21 Daniel B Thomas

The recent interest in modified theories of gravity, involving some type of non-minimal coupling to the Ricci scalar, and the calculation of cosmological observables in the Einstein or the Jordan frame, motivate the formulation of these…

General Relativity and Quantum Cosmology · Physics 2018-06-20 Alexandros Karam , Angelos Lykkas , Kyriakos Tamvakis

We consider a recently introduced extension of General Relativity dubbed as Cotton gravity (CG), based on the use of the Cotton tensor, to estimate the size of a new constant $\gamma$ appearing within a spherically symmetric, vacuum…

The parametrized post Newtonian formalism for 5-dimensional metric theories with a compact extra dimension is developed. The relation of the 5-dimensional and 4-dimensional formulations is then analyzed, in order to compare the higher…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Peng Xu , Yongge Ma

The Newtonian limit of the most general fourth order gravity is performed with metric approach in the Jordan frame with no gauge condition. The most general theory with fourth order differential equations is obtained by generalizing the…

General Relativity and Quantum Cosmology · Physics 2010-12-28 A. Stabile

Modifications of General Relativity usually include extra dynamical degrees of freedom, which to date remain undetected. Here we explore the possibility of modifying Einstein's theory by adding solely nondynamical fields. With the minimal…

General Relativity and Quantum Cosmology · Physics 2014-01-07 Paolo Pani , Thomas P. Sotiriou , Daniele Vernieri

In this paper, we have outlined the development of an autonomous dynamical system within a general scalar-tensor gravity framework. This framework encompasses the overall structure of the non-minimally coupled scalar field functions for…

General Relativity and Quantum Cosmology · Physics 2024-10-14 S. A. Kadam , L. K. Duchaniya , B. Mishra

We formally discuss the post-Minkowskian limit of $f(R)$-gravity without adopting conformal transformations but developing all the calculations in the original Jordan frame. It is shown that such an approach gives rise, in general, together…

General Relativity and Quantum Cosmology · Physics 2014-11-20 S. Capozziello , A. Stabile , A. Troisi

Strong gravitational lensing provides a natural opportunity to test General Relativity (GR). We propose a model-independent method for simultaneous constraining on Hubble constant ($H_0$) and post-Newtonian parameter (${\gamma_{\rm{PPN}}}$)…

Cosmology and Nongalactic Astrophysics · Physics 2024-01-30 Tonghua Liu , Kai Liao

We discuss static, cylindrically symmetric vacuum solutions of hybrid metric-Palatini gravity (HMPG), a recently proposed theory that has been shown to successfully pass the local observational tests and to produce a certain progress in…

General Relativity and Quantum Cosmology · Physics 2020-10-20 K. A. Bronnikov , S. V. Bolokhov , M. V. Skvortsova

This paper is devoted to the study of Noether gauge symmetries of $f(T)$ gravity minimally coupled with a canonical scalar field. We explicitly determine the unknown functions of the theory $f(T),V(\phi), W(\phi)$. We have shown that there…

Cosmology and Nongalactic Astrophysics · Physics 2013-02-13 Adnan Aslam , Mubasher Jamil , Davood Momeni , Ratbay Myrzakulov

We consider the gravity assist maneuver, that is, a correction of spacecraft motion at its passing near a planet, as a tool for evaluating the Eddington post-Newtonian parameters $\beta$ and $\gamma$, characterizing vacuum spherically…

General Relativity and Quantum Cosmology · Physics 2023-11-14 S. V. Bolokhov , K. A. Bronnikov , M. V. Skvortsova