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Variational formalism in the extended phase space for fields is applied to gravity. It is shown that the requirement of invariance under arbitrary local inertial frames implies a coupling of torsion to a 3-form of matter fields on the one…

General Relativity and Quantum Cosmology · Physics 2012-04-04 Pankaj Sharan

Non-linear special relativity (or doubly special relativity) is a simple framework for encoding properties of flat quantum space-time. In this paper we show how this formalism may be generalized to incorporate curvature (leading to what…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Joao Magueijo , Lee Smolin

A nonlocal generalization of Einstein's theory of gravitation is constructed within the framework of the translational gauge theory of gravity. In the linear approximation, the nonlocal theory can be interpreted as linearized general…

General Relativity and Quantum Cosmology · Physics 2009-03-24 Friedrich W. Hehl , Bahram Mashhoon

The possibility of the extension of spatial diffeomorphisms to a larger family of symmetries in a class of classical field theories is studied. The generator of the additional local symmetry contains a quadratic kinetic term and a potential…

High Energy Physics - Theory · Physics 2015-05-18 Szilard Farkas , Emil J. Martinec

The field equations of the recent nonlocal generalization of Einstein's theory of gravitation are presented in a form that is reminiscent of general relativity. The implications of the nonlocal field equations are studied in the case of…

General Relativity and Quantum Cosmology · Physics 2016-05-24 Donato Bini , Bahram Mashhoon

In general relativity, gravitational waves propagate at the speed of light, and so gravitons are massless. The masslessness can be traced to symmetry under diffeomorphisms. However, another elegant possibility exists: masslessness can…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Alan Kostelecky , Robertus Potting

We study the dynamics of gravitational lumps. By a lump, we mean a metric configuration that asymptotes to a flat space-time. Such lumps emerge in string theory as strong coupling descriptions of D-branes. We provide a physical argument…

High Energy Physics - Theory · Physics 2017-03-08 Travis Maxfield , Savdeep Sethi

Spin foam models of quantum gravity are based on Plebanski's formulation of general relativity as a constrained BF theory. We give an alternative formulation of gravity as BF theory plus a certain potential term for the B-field. When the…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Kirill Krasnov

We study three dimensional topologically massive gravity (TMG) in presence of a generic codimension one null boundary. The existence of the boundary is accounted for by enlarging the Hilbert space of the theory by degrees of freedom which…

High Energy Physics - Theory · Physics 2023-03-22 Vahid Taghiloo

We study a generalized nonlocal theory of gravity which, in specific limits, can become either the curvature non-local or teleparallel non-local theory. Using the Noether Symmetry Approach, we find that the coupling functions coming from…

General Relativity and Quantum Cosmology · Physics 2017-11-22 Sebastian Bahamonde , Salvatore Capozziello , Konstantinos F. Dialektopoulos

We study topology change in (2+1)D gravity coupling with non-Abelian SO(2,1) Higgs field from the point of view of Morse theory. It is shown that the Higgs potential can be identified as a Morse function. The critical points of the latter…

General Relativity and Quantum Cosmology · Physics 2013-01-15 Alexander I. Nesterov

We consider the G\"odel universe within the context of the local limit of nonlocal gravity. This theory differs from Einstein's general relativity (GR) through the existence of a scalar susceptibility function $S(x)$ that is a…

General Relativity and Quantum Cosmology · Physics 2025-10-14 Z. Mardaninezhad , B. Mashhoon

In the model of flat expansive homogeneous and isotropic relativistic universe with total zero and local non-zero energy the gravitation energy of bodies and the elecromagnetic energy of charged bodies can be localised.

General Relativity and Quantum Cosmology · Physics 2009-01-14 Vladimir Skalsky , Miroslav Sukenik

We consider a deformation of five-dimensional warped gravity with bulk and boundary mass terms to quadratic order in the action. We show that massless zero modes occur for special choices of the masses. The tensor zero mode is a smooth…

High Energy Physics - Theory · Physics 2013-05-29 Tony Gherghetta , Marco Peloso , Erich Poppitz

In this paper, we outline a new approach to quantum gravity; describing states for a bounded region of spacetime as eigenstates for two classes of physically plausible gedanken experiments. We end up with two complementary descriptions in…

General Relativity and Quantum Cosmology · Physics 2008-04-02 Louis Crane

Einstein's General theory of relativity permits spacetime singularities, where null geodesic congruences focus in the presence of matter, which satisfies an appropriate energy condition. In this paper, we provide a minimal defocusing…

General Relativity and Quantum Cosmology · Physics 2017-01-18 Aindriú Conroy , Alexey S. Koshelev , Anupam Mazumdar

In this paper we review some aspects of relativistic particles' mechanics in the case of a non-trivial geometry of momentum space. We start with showing how the curved momentum space arises in the theory of gravity in 2+1 dimensions coupled…

High Energy Physics - Theory · Physics 2013-09-11 J. Kowalski-Glikman

Our long experience with Newtonian potentials has inured us to the view that gravity only produces local effects. In this paper we challenge this quite deeply ingrained notion and explicitly identify some intrinsically global gravitational…

General Relativity and Quantum Cosmology · Physics 2010-11-30 Philip D. Mannheim

Following earlier works of Dereli and collaborators, we study a three dimensional toy model where we extend the topologically massive gravity with electrodynamics by the most general $RF^2$-type non-minimal coupling terms. Here $R$ denotes…

General Relativity and Quantum Cosmology · Physics 2022-02-23 Kıvanç İ. Ünlütürk , Cem Yetişmişoğlu

The physical concept of locality is first analyzed in the special relativistic quantum regime, and compared with that of microcausality and the local commutativity of quantum fields. Its extrapolation to quantum general relativity on…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Eduard Prugovecki
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