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Approximately one year ago Horava proposed a power-counting renormalizable theory of gravity which abandons local Lorentz invariance. The proposal has been received with growing interest and resulted in various different versions of…

General Relativity and Quantum Cosmology · Physics 2011-06-03 Silke Weinfurtner , Thomas P. Sotiriou , Matt Visser

We review and extend the Gauge Vectors-Tensor gravity: a covariant theory of gravity composed of a metric and gauge fields, leading to simple second order partial differential equations of motion, whose Newtonian and strong limits coincide…

General Relativity and Quantum Cosmology · Physics 2014-06-03 Qasem Exirifard

Alternative theories of gravity have been recently studied in connection with their cosmological applications, both in the Palatini and in the metric formalism. The aim of this paper is to propose a theoretical framework (in the Palatini…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Gianluca Allemandi , Mauro Francaviglia , Matteo Luca Ruggiero , Angelo Tartaglia

Recent experiments have successfully tested Einstein's general theory of relativity to remarkable precision. We discuss recent progress in the tests of relativistic gravity in the solar system and present motivations for the new generation…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Slava G. Turyshev

In this work, we consider an extension of symmetric teleparallel gravity, namely, $f(Q)$ gravity, where the fundamental block to describe spacetime is the nonmetricity, $Q$. Within this formulation of gravitation, we perform an…

General Relativity and Quantum Cosmology · Physics 2019-11-15 Ruth Lazkoz , Francisco S. N. Lobo , María Ortiz-Baños , Vincenzo Salzano

We perform a canonical quantization of gravity in a second-order formulation, taking as configuration variables those describing a 4-bein, not adapted to the space-time splitting. We outline how, neither if we fix the Lorentz frame before…

General Relativity and Quantum Cosmology · Physics 2014-11-18 F. Cianfrani , G. Montani

We study the Jeans instability of a self-gravitating fluid in the context of alternative gravitational theories. Our formulation accommodates arbitrary corrections to the Newtonian potential, providing a versatile approach to analyzing a…

General Relativity and Quantum Cosmology · Physics 2025-06-23 Ryan Khaled , Kamel Ourabah

The quantum gravity is formulated based on gauge principle. The model discussed in this paper has local gravitational gauge symmetry and gravitational field is represented by gauge potential. A preliminary study on gravitational gauge group…

High Energy Physics - Theory · Physics 2018-01-17 Ning Wu

Recently, a new kind of $f(z)$ theory is proposed to provide a different perspective for the development of reliable alternative models of gravity in which the $f(R)$ Lagrangian terms are reformulated as polynomial parameterizations $f(z)$.…

Cosmology and Nongalactic Astrophysics · Physics 2020-07-15 Ji-Yao Wang , Chao-Jun Feng , Xiang-Hua Zhai , Xin-Zhou Li

Evaluation of gravity control concepts should be examined with respect to currently known physical theories. In this work we study the hypothetical conversion of gravitational potential energy into kinetic energy using the formalism of…

Space Physics · Physics 2008-11-26 O. Bertolami , F. G. Pedro

Viable modifications of gravity on cosmological scales predominantly rely on screening mechanisms to recover Einstein's Theory of General Relativity in the Solar System, where it has been well tested. A parametrisation of the effects of…

Cosmology and Nongalactic Astrophysics · Physics 2016-11-23 Lucas Lombriser

The field equations in modified gravity theories possess an important decoupling property with respect to certain classes of nonholonomic frames. This allows us to construct generic off--diagonal solutions depending on all spacetime…

General Relativity and Quantum Cosmology · Physics 2015-02-23 Sergiu I. Vacaru

The derivation of effective quantum gravity corrections to Newton's potential is an important step in the whole effective quantum field theory approach. We hereby add new strong arguments in favor of omitting all the diagrams with internal…

High Energy Physics - Theory · Physics 2022-02-17 Tibério de Paula Netto , Leonardo Modesto , Ilya L. Shapiro

In this paper, we first propose a universal coupling between the gravity and matter in the framework of the Ho\v{r}ava-Lifshitz theory of gravity with an extra U(1) symmetry for both the projectable and non-projectable cases. Then, using…

High Energy Physics - Phenomenology · Physics 2014-04-23 Kai Lin , Shinji Mukohyama , Anzhong Wang , Tao Zhu

In this article we construct a relativistic extended metric theory of gravity, for which its weak field limit reduces to the non-relativistic MOdified Newtonian Dynamics regime of gravity. The theory is fully covariant and the way to…

General Relativity and Quantum Cosmology · Physics 2017-09-01 E. Barrientos , S. Mendoza

It has been suggested that new massive gravity with higher order terms in the curvature may be renormalizable and thus a candidate for renormalizable quantum gravity. We show that three-dimensional gravity that contains quadratic scalar…

High Energy Physics - Theory · Physics 2015-06-03 Kenji Muneyuki , Nobuyoshi Ohta

We use the duality between the local Cartezian coordinates and the solutions of the Klein-Gordon equation to parametrize locally the spacetime in terms of wave functions and prepotentials. The components of metric, metric connection,…

General Relativity and Quantum Cosmology · Physics 2007-05-23 I. V. Vancea

We introduce a new approach to modified gravity which generalizes the recently proposed hybrid metric-Palatini gravity. The gravitational action is taken to depend on a general function of both the metric and Palatini curvature scalars. The…

General Relativity and Quantum Cosmology · Physics 2015-10-09 Nicola Tamanini , Christian G. Boehmer

We present a link between parametrizations of alternative theories of gravity on large and small scales in cosmology. This relationship is established using theoretical consistency conditions only. We find that in both limits the "slip" and…

General Relativity and Quantum Cosmology · Physics 2019-01-09 Timothy Clifton , Viraj A. A. Sanghai

Recent progress in the quantization of nonrenormalizable scalar fields has found that a suitable non-classical modification of the ground state wave function leads to a result that eliminates term-by-term divergences that arise in a…

General Relativity and Quantum Cosmology · Physics 2015-06-04 John R. Klauder
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