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The equation of motion for test particles in $f(R)$ modified theories of gravity is derived. By considering an explicit coupling between an arbitrary function of the scalar curvature, $R$, and the Lagrangian density of matter, it is shown…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Orfeu Bertolami , Christian G. Boehmer , Tiberiu Harko , Francisco S. N. Lobo

We investigate a nonrelativistic version of Georgi's "unparticle physics." We define the unnucleus as a field in a nonrelativistic conformal field theory. Such a field is characterized by a mass and a conformal dimension. We then consider…

Nuclear Theory · Physics 2021-08-25 Hans-Werner Hammer , Dam Thanh Son

A second gradient generalization of Newtonian gravity is presented within the framework of gradient field theory. Weak nonlocality is introduced via first and second gradients of the gravitational field strength in the Lagrangian density.…

General Relativity and Quantum Cosmology · Physics 2020-12-02 Markus Lazar

Dark matter or modifications of the Newtonian inverse-square law in the solar-system are studied with accurate planetary astrometric data. From extra-perihelion precession and possible changes in the third Kepler's law, we get an upper…

Astrophysics · Physics 2009-11-11 M. Sereno , Ph. Jetzer

The acceleration of the universe can be explained either through dark energy or through the modification of gravity on large scales. In this paper we investigate modified gravity models and compare their observable predictions with dark…

Astrophysics · Physics 2008-11-26 Edmund Bertschinger , Phillip Zukin

We investigate scalar-tensor theories where matter couples to the scalar field via a kinetically dependent conformal coupling. These models can be seen as the low-energy description of invariant field theories under a global Abelian…

Cosmology and Nongalactic Astrophysics · Physics 2020-01-29 Philippe Brax , Patrick Valageas

We construct effective field theories in which gravity is modified via spontaneous breaking of local Lorentz invariance. This is a gravitational analogue of the Higgs mechanism. These theories possess additional graviton modes and modified…

High Energy Physics - Theory · Physics 2008-11-26 B. M. Gripaios

We highlight the fact that the lack of scale invariance in the gravitational field equations of General Relativity results from the underlying assumption that the appropriate scale for the gravitational force should be linked to the atomic…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Robin Booth

Modified Newtonian dynamics proposed that gravitational field needs modifications when the field strength $g$ is weaker than a critical value $g_0$. This has been shown to be a good candidate as an alternative to cosmic dark matter. There…

Astrophysics · Physics 2007-05-23 W. F. Kao

We consider alternative theories of gravity with a direct coupling between matter and the Ricci scalar We study the relation between these theories and ordinary scalar-tensor gravity, or scalar-tensor theories which include non-standard…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Thomas P. Sotiriou , Valerio Faraoni

The possibility of mass in the context of scale-invariant, generally covariant theories, is discussed. The realizations of scale invariance which are considered, are in the context of a gravitational theory where the action, in the first…

General Relativity and Quantum Cosmology · Physics 2009-10-31 E. I. Guendelman

We investigate a model of two-dimensional gravity with arbitrary scalar potential obtained by gauging a deformation of de Sitter or more general algebras, which accounts for the existence of an invariant energy scale. We obtain explicit…

High Energy Physics - Theory · Physics 2009-11-07 S. Mignemi

A new type of scalar potential inspired by unparticles is proposed for the electroweak symmetry breaking. The interaction between the standard model fields and unparticle sector is described by the non-integral power of fields that…

High Energy Physics - Phenomenology · Physics 2008-03-14 Jong-Phil Lee

Modified gravity theories on cosmic scales have three key deviations from general relativity. They can cause cosmic acceleration without a physical, highly negative pressure fluid, can cause a gravitational slip between the two metric…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-04 Eric V. Linder

We develop an approach to compute observables beyond the linear regime of dark matter perturbations for general dark energy and modified gravity models. We do so by combining the Effective Field Theory of Dark Energy and Effective Field…

Cosmology and Nongalactic Astrophysics · Physics 2020-01-07 Giulia Cusin , Matthew Lewandowski , Filippo Vernizzi

The possibility of mass in the context of scale-invariant, generally covariant theories, is discussed. Scale invariance is considered in the context of a gravitational theory where the action, in the first order formalism, is of the form $S…

High Energy Physics - Theory · Physics 2009-11-07 E. I. Guendelman

Short-range experiments testing the gravitational inverse-square law at the submillimeter scale offer uniquely sensitive probes of Lorentz invariance. A combined analysis of results from the short-range gravity experiments HUST-2015,…

General Relativity and Quantum Cosmology · Physics 2016-11-08 Cheng-Gang Shao , Yu-Jie Tan , Wen-Hai Tan , Shan-Qing Yang , Jun Luo , Michael Edmund Tobar , Quentin G. Bailey , J. C. Long , E. Weisman , Rui Xu , Alan Kostelecky

We compute the one-loop quantum corrections to the gravitational potentials of a spinning point particle in a de Sitter background, due to the vacuum polarisation induced by conformal fields in an effective field theory approach. We…

High Energy Physics - Theory · Physics 2017-04-19 Markus B. Fröb , Enric Verdaguer

In the present paper, we revisit gravitational theories which are invariant under TDiffs -- transverse (volume preserving) diffeomorphisms and global scale transformations. It is known that these theories can be rewritten in an equivalent…

High Energy Physics - Theory · Physics 2016-05-02 Georgios K. Karananas , Mikhail Shaposhnikov

We analyze the question of possible quantum corrections in the entropic scenario of emergent gravity. Using a fuzzy sphere as a natural quasiclassical approximation for the spherical holographic screen, we analyze whether it is possible to…

High Energy Physics - Theory · Physics 2013-09-25 C. M. Gregory , A. Pinzul
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