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The evolution of a generally covariant theory is under-determined. One hundred years ago such dynamics had never before been considered; its ramifications were perplexing, its future important role for all the fundamental interactions under…

General Relativity and Quantum Cosmology · Physics 2016-11-23 James M. Nester , Chiang-Mei Chen

The field equations of a generalized $f(R)$ type gravity model, in which there is an arbitrary coupling between matter and geometry, are obtained. The equations of motion for test particles are derived from a variational principle in the…

General Relativity and Quantum Cosmology · Physics 2009-05-26 T. Harko

Unimodular gravity can be formulated so that transverse diffeomorphisms and Weyl transformations are symmetries of the theory. For this formulation of unimodular gravity, we work out the two-point and three-point $h_{\mu\nu}$ contributions…

High Energy Physics - Theory · Physics 2023-02-15 Jesus Anero , Carmelo P. Martin

In these lectures I review the status of gravity from the point of view of the gauge principle and renormalization, the main tools in the toolbox of theoretical particle physics. In the first lecture I start from the old question "in what…

High Energy Physics - Theory · Physics 2014-11-20 R. Percacci

We obtain a new form for the action of a nonrelativistic particle coupled to Newtonian gravity. The result is different from that existing in the literature which, as shown here, is riddled with problems and inconsistencies. The present…

General Relativity and Quantum Cosmology · Physics 2019-09-04 Rabin Banerjee , Pradip Mukherjee

Many effective field theories describing gravity cannot arise from an underlying theory based on Riemann geometry or its extensions to include torsion and nonmetricity but may instead emerge from another geometry or may have a nongeometric…

General Relativity and Quantum Cosmology · Physics 2021-08-25 Alan Kostelecky , Zonghao Li

The emergent gravity proposal is examined within the framework of noncommutative QED/gravity correspondence from particle dynamics point of view.

High Energy Physics - Theory · Physics 2008-11-26 Amir H. Fatollahi

This is a partially survey collection of material on gravity, entropy, and information with some new heuristic results related to the WDW equation.

Classical Physics · Physics 2007-05-23 Robert Carroll

The dynamics of gravity can be described by two different systems. The first is the familiar spacetime picture of General Relativity, the other is the conformal picture of Shape Dynamics. We argue that the bulk equivalence of General…

General Relativity and Quantum Cosmology · Physics 2013-02-01 Henrique Gomes , Tim Koslowski

In the light of intriguing results of C.C.Barros, we investigate in this thesis the possibilities of geometrical interpretation of all the fundamental interactions in order to unify them. More exactly we try to supply a unified geometrical…

General Relativity and Quantum Cosmology · Physics 2014-03-20 Abdelmoumene Belabbas

By generalizing the Hodge dual operator to the case of soldered bundles, and working in the context of the teleparallel equivalent of general relativity, an analysis of the duality symmetry in gravitation is performed. Although the basic…

General Relativity and Quantum Cosmology · Physics 2009-11-11 V. C. de Andrade , A. L. Barbosa , J. G. Pereira

On a particle moving with variable acceleration in the flat space-time affects the self-force due to outgoing radiation. The gravitational fields bring an additional contribution to self-force due to scattering waves on the curved…

General Relativity and Quantum Cosmology · Physics 2021-06-22 Nail Khusnutdinov

A specific theoretical framework is important for designing and conducting an experiment, and for interpretation of its results. The field of gravitational physics is expanding, and more clarity is needed. It appears that some popular…

General Relativity and Quantum Cosmology · Physics 2014-11-18 L P Grishchuk

In the context of metric $f(R)$ gravity, the Geodesic Deviation Equation (GDE) was first studied in arXiv:1010.5279v3, giving a general expression and studying a particular case, the FLRW universe. In the paper arXiv:1312.2022v1 a similar…

General Relativity and Quantum Cosmology · Physics 2015-09-04 Alejandro Guarnizo , Leonardo Castaneda , Juan M. Tejeiro

It is shown that the interface model introduced in Phys. Rev. Lett. 86, 2369 (2001) violates fundamental symmetry requirements for vanishing gravitational acceleration $g$, so that its results cannot be applied to critical properties of…

Statistical Mechanics · Physics 2009-11-07 H. W. Diehl , R. K. Zia

Gravitational decoherence (GD) refers to the effects of gravity in actuating the classical appearance of a quantum system. Because the underlying processes involve issues in general relativity (GR), quantum field theory (QFT) and quantum…

General Relativity and Quantum Cosmology · Physics 2024-06-19 Charis Anastopoulos , Bei-Lok Hu

Starting from a 5D-Riemannian manifold, we show that a reduction mechanism to 4D-spacetimes reproduces Extended Theories of Gravity (ETGs) that are direct generalizations of Einstein's gravity. In this context, the gravitational degrees of…

General Relativity and Quantum Cosmology · Physics 2015-03-26 Salvatore Capozziello , Mariafelicia De Laurentis , Luca Fabbri , Stefano Vignolo

The gravitational interaction, as described by the Einstein-Cartan theory, is shown to emerge as the by-product of the spontaneous symmetry breaking of a gauge symmetry in a pre-geometric four-dimensional spacetime. Starting from a…

High Energy Physics - Theory · Physics 2025-01-15 Andrea Addazi , Salvatore Capozziello , Antonino Marciano , Giuseppe Meluccio

In the context of a gauge theory for the translation group, we have obtained, for a spinless particle, a gravitational analog of the Lorentz force. Then, we have shown that this force equation can be rewritten in terms of magnitudes related…

General Relativity and Quantum Cosmology · Physics 2011-07-19 V. C. de Andrade , J. G. Pereira

It is shown that Einstein's equations on the brane can be received from the multi-dimensional vector field equations in pseudo-Euclidean space. The idea is based on the observation that the brane geometry can be equivalently described by…

High Energy Physics - Theory · Physics 2011-07-19 Merab Gogberashvili