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We derive the equation of matter density perturbations on sub-horizon scales around a flat Friedmann-Lema\^\i tre-Robertson-Walker background for the general Lagrangian density $f(R,\GB)$ that is a function of a Ricci scalar $R$ and a…

Cosmology and Nongalactic Astrophysics · Physics 2011-05-13 Antonio De Felice , Teruaki Suyama

We attempt to construct a gravitational coupling by pre-selecting an energy-momentum tensor as the source for gravitational field. The energy-momentum tensor we take is a recently derived new expression motivated by joint localization of…

General Relativity and Quantum Cosmology · Physics 2017-02-10 Tao Lei , Zi-Wei Chen , Zhen-Lai Wang , Xiang-Song Chen

This article is meant as a summary and introduction to the ideas of effective field theory as applied to gravitational systems. Contents: 1. Introduction 2. Effective Field Theories 3. Low-Energy Quantum Gravity 4. Explicit Quantum…

General Relativity and Quantum Cosmology · Physics 2015-06-25 C. P. Burgess

In the general relativity theory the basic ingredient to describe gravity is the geometry, which interacts with all forms of matter and energy, and as such, the metric could be interpreted as a true physical quantity. However the metric is…

General Relativity and Quantum Cosmology · Physics 2025-03-19 Mario Novello , Júnior D. Toniato

We consider the standard gauge theory of Poincar\'{e} group, realizing as a subgroup of $GL(5. R)$. The main problem of this theory was appearing of the fields connected with non-Lorentz symmetries, whose physical sense was unclear. In this…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Merab Gogberashvili

In the Rastall gravity a non-minimal coupling between geometry and matter fields is considered. Then the usual energy-momentum tensor conservation law is not valid. Here a Lagrangian formalism is proposed to the Rastall theory of gravity.…

General Relativity and Quantum Cosmology · Physics 2019-12-16 W. A. G. De Moraes , A. F. Santos

While the generally recognized symmetries of cosmos are preserved, conservation laws for gravitational system are reconsidered and the Lagrangian density of pure gravitational field is revised. From these considerations, some of the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Fang-Pei Chen

It is shown in this work that all free physical fields should have a nonzero rest mass according to the field theory of gravitation.

General Relativity and Quantum Cosmology · Physics 2009-11-11 S. S. Gershtein , A. A. Logunov , M. A. Mestvirishvili

In this paper, we discuss the gravitational waves in the context of gauge theory gravity with a negative cosmological constant. The gauge theory gravity is a gravity theory under gauge formulation in the language of geometric algebra. In…

General Relativity and Quantum Cosmology · Physics 2022-09-12 Jianfei Xu

We consider scalar-tensor theories of gravity in an accelerating universe. The equations for the background evolution and the perturbations are given in full generality for any parametrization of the Lagrangian, and we stress that apparent…

General Relativity and Quantum Cosmology · Physics 2009-10-31 G. Esposito-Farese , D. Polarski

The nonsymmetric gravitational theory predicts an acceleration law that modifies the Newtonian law of attraction between particles. For weak fields a fit to the flat rotation curves of galaxies is obtained in terms of the mass…

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. W. Moffat

A stochastic theory of gravity is described in which the metric tensor is a random variable such that the spacetime manifold is a fluctuating physical system at a certain length scale. A general formalism is described for calculating…

General Relativity and Quantum Cosmology · Physics 2008-02-03 J. W. Moffat

Theories of physics can be considered viable if the initial value problem and the energy conditions are formulated self-consistently. The former allow a uniquely determined dynamical evolution of the system, and the latter guarantee that…

General Relativity and Quantum Cosmology · Physics 2015-06-08 Salvatore Capozziello , Francisco S. N. Lobo , José P. Mimoso

We consider f(R,T) modified theory of gravity, in which the gravitational Lagrangian is given by an arbitrary function of the Ricci scalar and the trace of the energy-momentum tensor of the matter, in order to investigate the dark-matter…

General Relativity and Quantum Cosmology · Physics 2016-11-02 Raziyeh Zaregonbadi , Mehrdad Farhoudi , Nematollah Riazi

In quantum gauge theory of gravity, the gravitational field is represented by gravitational gauge field. The field strength of gravitational gauge field has both gravitational electric component and gravitational magnetic component. In…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Ning Wu

We introduce in the framework of the linear approximation of General relativity a natural distinction between General gauge transformations generated by any vector field and those Special ones for which this vector field is a gradient. This…

General Relativity and Quantum Cosmology · Physics 2007-06-23 Ll. Bel

Quantum General Relativity (QGR), sometimes called Loop Quantum Gravity, has matured over the past fifteen years to a mathematically rigorous candidate quantum field theory of the gravitational field. The features that distinguish it from…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Thomas Thiemann

Viewing gravitational energy-momentum as equal by observation, but different in essence from inertial energy-momentum naturally leads to the gauge theory of volume-preserving diffeormorphisms of an inner Minkowski space which can describe…

Mathematical Physics · Physics 2012-03-13 C. Wiesendanger

This is a pedagogical introduction to the treatment of general relativity as a quantum effective field theory. Gravity fits nicely into the effective field theory description and forms a good quantum theory at ordinary energies.

General Relativity and Quantum Cosmology · Physics 2007-05-23 John F. Donoghue

Newtonian gravity can be regarded as a hypothetic-deductive system where the inverse square law is the starting point from which gravitational phenomena are deduced. This operational form of presenting gravity endorses problem solving and…

History and Philosophy of Physics · Physics 2019-06-12 Joao A M Pereira