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We find the set of generalized symmetries associated with the free graviton theory in four dimensions. These are generated by gauge invariant topological operators that violate Haag duality in ring-like regions. As expected from general QFT…

高能物理 - 理论 · 物理学 2022-05-25 Valentin Benedetti , Horacio Casini , Javier M. Magan

We study the Hamiltonian structure of unimodular-like theories, where the cosmological constant (or other supposed constants of nature) are demoted from fixed parameters to classical constants of motion. No new local degrees of freedom are…

高能物理 - 理论 · 物理学 2024-04-30 Raymond Isichei , João Magueijo

This thesis studies modified theories of gravity from a geometric viewpoint. We review the motivations for considering alternatives to General Relativity and cover the mathematical foundations of gravitational theories in Riemannian and…

广义相对论与量子宇宙学 · 物理学 2024-01-24 Erik Jensko

Assuming that the natural gauge group of gravity is given by the group of isometries of a given space, for a maximally symmetric space we derive a model in which gravity is essentially a gauge theory of translations. Starting from first…

广义相对论与量子宇宙学 · 物理学 2011-05-05 J. Julve , A. Tiemblo

We extend the idea of unimodular gravity to the modified $f(R,T)$ theories. A new class of cosmological solutions, that the unimodular constraint on the metric imposes on the $f(R,T)$ theories, are studied. This extension is done in both…

广义相对论与量子宇宙学 · 物理学 2017-11-22 F. Rajabi , K. Nozari

In this paper, by making use of the perturbative expansion around topological field theory we are trying to understand why the standard perturbation theory for General Relativity, which starts with linearized gravity does not see…

广义相对论与量子宇宙学 · 物理学 2007-05-23 J. Kowalski-Glikman , A. Starodubtsev

We develop a novel approach to gravity that we call `matrix general relativity' (MGR) or `gravitational chromodynamics' (GCD or GQCD for quantum version). Gravity is described in this approach not by one Riemannian metric (i.e. a symmetric…

高能物理 - 理论 · 物理学 2011-03-31 Ivan G. Avramidi

We develop a novel approach to gravity in which gravity is described by a matrix-valued symmetric two-tensor field and construct an invariant functional that reduces to the standard Einstein-Hilbert action in the commutative limit. We also…

高能物理 - 理论 · 物理学 2007-05-23 Ivan Avramidi

It is shown that the one-loop effective action of unimodular gravity is the same as that of ordinary gravity, restricted to unimodular metrics. The only difference is in the treatment of the global scale degree of freedom and of the…

广义相对论与量子宇宙学 · 物理学 2018-08-01 R. Percacci

The inclusion of a flat metric tensor in gravitation permits the formulation of a gravitational stress-energy tensor and the formal derivation of general relativity from a linear theory in flat spacetime. Building on the works of Kraichnan…

广义相对论与量子宇宙学 · 物理学 2015-06-25 J. Brian Pitts , W. C. Schieve

We construct a Weyl transverse diffeomorphism invariant theory of symmetric teleparallel gravity by employing the Weyl compensator formalism. The low-energy dynamics has a single spin two gravition without a scalar degree of freedom. By…

广义相对论与量子宇宙学 · 物理学 2022-07-06 Yu Nakayama

We find a one-parameter family of Lagrangian descriptions for classical general relativity in terms of tetrads which are not c-numbers. Rather, they obey exotic commutation relations. These noncommutative properties drop out in the metric…

广义相对论与量子宇宙学 · 物理学 2009-10-31 G. Bimonte , R. Musto , A. Stern , P. Vitale

In the minimal formulation of gravity with Lifshitz-type anisotropic scaling, the gauge symmetries of the system are foliation-preserving diffeomorphisms of spacetime. Consequently, compared to general relativity, the spectrum contains an…

高能物理 - 理论 · 物理学 2014-11-21 Petr Horava , Charles M. Melby-Thompson

We study gravitational lensing by clusters of galaxies in the context of the generic class of unconventional gravity theories of the scalar--tensor type. For positive energy scalar fields with any dynamics, the bending of light by a weakly…

天体物理学 · 物理学 2010-11-01 Jacob D. Bekenstein , Robert H. Sanders

Gravitation, according to General Relativity, is an attribute of space-time's geometry and hence not a force in the Newtonian sense. This is a consequence of Einstein's equivalence principle, which so far passed all experimental tests with…

科普物理 · 物理学 2013-09-10 Domenico Giulini

Deformations of maximal supergravity theories induced by gauging non-abelian subgroups of the duality group reveal the presence of charged M-theory degrees of freedom that are not necessarily contained in supergravity. The relation with…

高能物理 - 理论 · 物理学 2009-11-19 Bernard de Wit , Hermann Nicolai , Henning Samtleben

It has long been understood that certain theories of ghost free massive gravity and their multi-graviton extensions can be thought of as arising from a higher dimensional theory of gravity, upon discretising the extra dimension. However,…

高能物理 - 理论 · 物理学 2025-02-21 Kieran Wood

We describe symmetry structure of a general singular theory (theory with constraints in the Hamiltonian formulation), and, in particular, we relate the structure of gauge transformations with the constraint structure. We show that any…

高能物理 - 理论 · 物理学 2007-05-23 D. M. Gitman , I. V. Tyutin

We present a new scheme of defining invariant observables for general relativistic systems. The scheme is based on the introduction of an observer which endowes the construction with a straightforward physical interpretation. The…

广义相对论与量子宇宙学 · 物理学 2014-05-23 Paweł Duch , Wojciech Kamiński , Jerzy Lewandowski , Jedrzej Świeżewski

It might seem that a choice of a time coordinate in Hamiltonian formulations of general relativity breaks the full four-dimensional diffeomorphism covariance of the theory. This is not the case. We construct explicitly the complete set of…

广义相对论与量子宇宙学 · 物理学 2009-10-31 D. C. Salisbury , J. M. Pons , L. C. Shepley