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Diffeomorphism invariance breaking has been investigated in the literature in several contexts, including emergent General Relativity (GR). If GR emerges from an underlying theory without diffeomorphism invariance, there may be small…

广义相对论与量子宇宙学 · 物理学 2025-10-28 Ufuk Aydemir , Mahmut Elbistan

The fundamental interactions of nature, the electroweak and the quantum chromodynamics, are described in the Standard Model by the Gauge Theory under internal symmetries that maintain the invariance of the functional action. The fundamental…

广义相对论与量子宇宙学 · 物理学 2019-05-21 Wytler Cordeiro dos Santos

Degenerate scalar-tensor theories of gravity extend general relativity by a single degree of freedom, despite their equations of motion being higher than second order. In some cases, this is a mere consequence of a disformal field…

高能物理 - 理论 · 物理学 2020-09-18 Cédric Deffayet , Sebastian Garcia-Saenz

The covariance group for general relativity, the diffeomorphisms, is replaced by a group of coordinate transformations which contains the diffeomorphisms as a proper subgroup. The larger group is defined by the assumption that all observers…

广义相对论与量子宇宙学 · 物理学 2012-08-27 Dave Pandres,

A recent result concerning interacting theories of self-dual tensor gauge fields in six dimensions is generalized to include coupling to gravity. The formalism makes five of the six general coordinate invariances manifest, whereas the sixth…

高能物理 - 理论 · 物理学 2008-11-26 John H. Schwarz

We consider a diffeomorphism invariant theory of a gauge field valued in a Lie algebra that breaks spontaneously to the direct sum of the spacetime Lorentz algebra, a Yang-Mills algebra, and their complement. Beginning with a fully gauge…

广义相对论与量子宇宙学 · 物理学 2015-03-17 A. Garrett Lisi , Lee Smolin , Simone Speziale

We investigate higher-derivative extensions of Einstein-Maxwell theory that are invariant under electromagnetic duality rotations, allowing for non-minimal couplings between gravity and the gauge field. Working in a derivative expansion of…

高能物理 - 理论 · 物理学 2021-09-01 Pablo A. Cano , Ángel Murcia

The framework of the Covariant Canonical Gauge theory of Gravity (CCGG) is described in detail. CCGG emerges naturally in the Palatini formulation, where the vierbein and the spin connection are independent fields. Neither torsion nor…

广义相对论与量子宇宙学 · 物理学 2023-11-22 David Vasak , Jürgen Struckmeier

A higher order theory of dilaton gravity is constructed as a generalization of the Einstein-Lovelock theory of pure gravity. Its Lagrangian contains terms with higher powers of the Riemann tensor and of the first two derivatives of the…

高能物理 - 理论 · 物理学 2008-11-26 D. Konikowska , M. Olechowski

Nonlinear generalizations of teleparallel gravity entail the modification of a Lagrangian that is pseudoinvariant under local Lorentz transformations of the tetrad field. This procedure consequently leads to the loss of the local…

广义相对论与量子宇宙学 · 物理学 2020-04-27 Rafael Ferraro , María José Guzmán

Conformal symmetry is investigated within the context of axion-dilaton-modulus theory of gravity of Brans-Dicke-type. A distinction is made between general conformal symmetry and invariance under transformations of the physical units. The…

高能物理 - 理论 · 物理学 2007-05-23 Israel Quiros

We consider the diffeomorphism invariant gravity coupled with the ideal fluid in the non-standard way. The Lorentz-invariance of the graviton propagator in such a theory considered as perturbation over flat background turns out to be broken…

高能物理 - 理论 · 物理学 2010-04-06 Shin'ichi Nojiri , Sergei D. Odintsov

In this work we use generalized deformed gauge groups for investigation of symmetry of general relativity (GR). GR is formulated in generalized reference frames, which are represented by (anholonomic in general case) affine frame fields.…

广义相对论与量子宇宙学 · 物理学 2020-06-09 S. E. Samokhvalov

We examine the variational and conformal structures of higher order theories of gravity which are derived from a metric-connection Lagrangian that is an arbitrary function of the curvature invariants. We show that the constrained first…

广义相对论与量子宇宙学 · 物理学 2009-10-30 S. Cotsakis , J. Miritzis , L. Querella

In this paper we consider conformal symmetry in the context of manifolds with general affine connection. We extend the conformal transformation law of the metric to a general metric compatible affine connection, and find that it is a…

高能物理 - 理论 · 物理学 2016-12-07 Stefano Lucat , Tomislav Prokopec

The most general lagrangian describing spin 2 particles in flat spacetime and containing operators up to (mass) dimension 6 is carefully analyzed, determining the precise conditions for it to be invariant under linearized (transverse)…

高能物理 - 理论 · 物理学 2020-03-18 Enrique Alvarez , Jesus Anero , Raquel Santos-Garcia

The invariants in half-maximal supergravity theories in D=4,5 are discussed in detail up to dimension eight (e.g. R^4). In D=4, owing to the anomaly in the rigid SL(2,R) duality symmetry, the restrictions on divergences need careful…

高能物理 - 理论 · 物理学 2015-06-15 G. Bossard , P. S. Howe , K. S. Stelle

In linearized gravity with distributed matter, the background metric has no generic symmetries, and decomposition of the metric perturbation into global normal modes is generally impractical. This complicates the identification of the…

广义相对论与量子宇宙学 · 物理学 2022-11-17 Deepen Garg , I. Y. Dodin

We present a general framework to include ordinary fermionic matter in the metric--affine gauge theories of gravity. It is based on a nonlinear gauge realization of the affine group, with the Lorentz group as the classification subgroup of…

广义相对论与量子宇宙学 · 物理学 2010-04-06 A. López--Pinto , A. Tiemblo , R. Tresguerres

General Relativity extended through a dynamical scalar quartet is proposed as a theory of the scalar-vector-tensor gravity, generically describing the unified gravitational dark matter (DM) and dark energy (DE). The implementation in the…

广义相对论与量子宇宙学 · 物理学 2017-07-11 Yury F. Pirogov