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We consider in detail the problem of gauge dependence that exists in relativistic perturbation theory, going beyond the linear approximation and treating second and higher order perturbations. We first derive some mathematical results…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Marco Bruni , Sabino Matarrese , Silvia Mollerach , Sebastiano Sonego

We consider the twin paradox of special relativity in a universe with a compact spatial dimension. Such topology allows two twin observers to remain inertial yet meet periodically. The paradox is resolved by considering the relationship of…

General Relativity and Quantum Cosmology · Physics 2009-09-29 Dhruv Bansal , John Laing , Aravindhan Sriharan

A relatively simple approach to noncommutative gravity utilizes the gauge theory formulation of general relativity and involves replacing the Lorentz gauge group by a larger group. This results in additional field degrees of freedom which…

High Energy Physics - Theory · Physics 2009-07-30 A. Stern

Previously, we have developed a general method to construct invariant conserved currents and charges in gravitational theories with Lagrangians that are invariant under spacetime diffeomorphisms and local Lorentz transformations. This…

High Energy Physics - Theory · Physics 2008-11-26 Yuri N. Obukhov , Guillermo F. Rubilar

We calculate the quantum corrections to the gauge-invariant gravitational potentials of spinning particles in flat space, induced by loops of both massive and massless matter fields of various types. While the corrections to the Newtonian…

High Energy Physics - Theory · Physics 2016-12-13 Markus B. Fröb

In this work consideration is given to massless and massive gauge-invariant spin 0 and spin 1 fields (particles) within the scope of a theory of the generalized relativistic wave equations with an extended set of the Lorentz group…

High Energy Physics - Theory · Physics 2010-02-04 V. A. Pletyukhov , V. I. Strazhev

Gauge theory of gravity is formulated based on principle of local gauge invariance. Because the model has strict local gravitational gauge symmetry, gauge theory of gravity is a perturbatively renormalizable quantum model. However, in the…

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

General Relativity can be reformulated as a diffeomorphism invariant gauge theory of the Lorentz group, with Lagrangian of the type $f(F\wedge F)$, where $F$ is the curvature 2-form of the spin connection. A theory from this class with a…

General Relativity and Quantum Cosmology · Physics 2021-10-04 Kirill Krasnov , Ermis Mitsou

We consider a quantum field theory on a spherically symmetric quantum space time described by loop quantum gravity. The spin network description of space time in such a theory leads to equations for the quantum field that are discrete. We…

General Relativity and Quantum Cosmology · Physics 2015-06-02 Rodolfo Gambini , Jorge Pullin

Teleparallel gravity and its popular generalization $f(T)$ gravity can be formulated as fully invariant (under both coordinate transformations and local Lorentz transformations) theories of gravity. Several misconceptions about teleparallel…

General Relativity and Quantum Cosmology · Physics 2019-09-25 M. Krssak , R. J. van den Hoogen , J. G. Pereira , C. G. Boehmer , A. A. Coley

The hypothesis that the Lorentz transformations may be modified at Planck scale energies is further explored. We present a general formalism for theories which preserve the relativity of inertial frames with a non-linear action of the…

General Relativity and Quantum Cosmology · Physics 2011-05-05 Joao Magueijo , Lee Smolin

Einstein based his special theory of relativity on two postulates: (a) physical laws appear the same in all inertial frames, and (b) the speed of light in vacuum is an observer-independent constant. However, it is already known that the…

Classical Physics · Physics 2021-11-24 Vikramaditya Mondal

There is an incompatibility between gauge invariance and the semi-classical time-dependent perturbation theory commonly used to calculate light absorption and scattering cross-sections. There is an additional incompatibility between…

Strongly Correlated Electrons · Physics 2018-01-17 Nadejda Bouldi , Christian Brouder

Recent work has argued that the concepts of entanglement and nonlocality must be taken seriously even in systems consisting of only a single particle. These treatments, however, are nonrelativistic and, if single particle entanglement is…

Quantum Physics · Physics 2015-05-13 Jacob Dunningham , Vlatko Vedral

Some first results are presented regarding the behavior of invariant correlations in simplicial gravity, with an action containing both a bare cosmological term and a lattice higher derivative term. The determination of invariant…

High Energy Physics - Theory · Physics 2009-10-22 Herbert W. Hamber

A framework is developed which quantifies the local exchange of energy and momentum between matter and the linearized gravitational field. We derive the unique gravitational energy-momentum tensor consistent with this description, and find…

General Relativity and Quantum Cosmology · Physics 2010-11-26 Luke M. Butcher , Michael Hobson , Anthony Lasenby

We discuss some main aspects of theories of gravity containing non-local terms in view of cosmological applications. In particular, we consider various extensions of General Relativity based on geometrical invariants as $f(R, \Box^{-1} R)$,…

General Relativity and Quantum Cosmology · Physics 2022-01-13 Salvatore Capozziello , Francesco Bajardi

The scale invariance of the quantum fluctuations in de Sitter space leads to the appearance of de Sitter symmetry breaking infra-red logarithms in the graviton propagator. We investigate physical effects of soft gravitons on the local…

High Energy Physics - Theory · Physics 2013-06-14 Hiroyuki Kitamoto , Yoshihisa Kitazawa

We develop a formulation of particle mechanics in which the functional relation between force and kinetic energy is derived directly from local conservation mechanical energy $E$, rather than postulated through Newton's second law or a…

Classical Physics · Physics 2026-02-10 Thomas Oikonomou

In this paper we investigate electromagnetic interactions for massive spin 2 particles in (A)dS space at linear approximation using gauge invariant description for such massive particles. We follow bottom-up approach, i.e. we begin with the…

High Energy Physics - Theory · Physics 2009-09-28 Yu. M. Zinoviev