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We recently developed a local description of the energy, momentum and angular momentum carried by the linearized gravitational field, wherein the gravitational energy-momentum tensor displays positive energy-density and causal energy-flux,…

广义相对论与量子宇宙学 · 物理学 2012-10-03 Luke M. Butcher , Michael Hobson , Anthony Lasenby

We derive a generic identity which holds for the metric (i.e. variational) energy-momentum tensor under any field transformation in any generally covariant classical Lagrangian field theory. The identity determines the conditions under…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Guido Magnano , Leszek M. Sokolowski

We discuss theories of gravity with independent metric (or frame field) and connection, from the point of view of effective field theory. We count the parity-even Lagrangian terms of dimension up to four and give explicit bases for the…

广义相对论与量子宇宙学 · 物理学 2022-03-02 A. Baldazzi , O. Melichev , R. Percacci

Recently a new approach in constructing the conserved charges in cosmological Einstein's gravity was given. In this new formulation, instead of using the explicit form of the field equations a covariantly conserved rank four tensor was…

高能物理 - 理论 · 物理学 2019-05-07 Emel Altas

If the graviton is the only high spin particle present during inflation, then the form of the observable tensor three-point function is fixed by de Sitter symmetry at leading order in slow-roll, regardless of the theory, to be a linear…

高能物理 - 理论 · 物理学 2019-10-30 Garrett Goon , Kurt Hinterbichler , Austin Joyce , Mark Trodden

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

We investigate composite models of gravity and explore how dynamical tensor fields can emerge within the functional renormalization group framework. We consider two prototype models: a fermionic theory and a scalar theory. In both cases, an…

高能物理 - 理论 · 物理学 2026-04-30 Yadikaer Maitiniyazi , Masatoshi Yamada

A Poincar\'{e} gauge theory of (2+1)-dimensional gravity is developed. Fundamental gravitational field variables are dreibein fields and Lorentz gauge potentials, and the theory is underlain with the Riemann-Cartan space-time. The most…

广义相对论与量子宇宙学 · 物理学 2009-10-22 Toshiharu Kawai

Many effective field theories describing gravity cannot arise from an underlying theory based on Riemann geometry or its extensions to include torsion and nonmetricity but may instead emerge from another geometry or may have a nongeometric…

广义相对论与量子宇宙学 · 物理学 2021-08-25 Alan Kostelecky , Zonghao Li

We argue that in a nonlinear gravity theory, which according to well-known results is dynamically equivalent to a self-gravitating scalar field in General Relativity, the true physical variables are exactly those which describe the…

广义相对论与量子宇宙学 · 物理学 2010-11-01 Guido Magnano , Leszek M. Sokolowski

We describe a class of unified theories of electromagnetism and gravity. The Lagrangian is of the BF type, with a potential for the B-field, the gauge group is U(2) (complexified). Given a choice of the potential function the theory is a…

广义相对论与量子宇宙学 · 物理学 2011-02-28 Alexander Torres-Gomez , Kirill Krasnov , Carlos Scarinci

We construct the non-linear realisation of the semi-direct product of the very extended algebra A1+++ and its vector representation. This theory has an infinite number of fields that depend on a spacetime with an infinite number of…

高能物理 - 理论 · 物理学 2020-06-10 Keith Glennon , Peter West

The generic form of spacetime dynamics as a classical gauge field theory has recently been derived, based on only the action principle and on the Principle of General Relativity. It was thus shown that Einstein's General Relativity is the…

广义相对论与量子宇宙学 · 物理学 2019-05-28 J. Struckmeier , J. Muench , P. Liebrich , M. Hanauske , J. Kirsch , D. Vasak , L. Satarov , H. Stoecker

We suggest an extension of the Yang-Mills theory which includes non-Abelian tensor gauge fields. The invariant Lagrangian is quadratic in the field strength tensors and describes interaction of charged tensor gauge bosons of arbitrary large…

高能物理 - 理论 · 物理学 2009-11-11 G. Savvidy

Einstein's General Relativity (GR) is a dynamical theory of the spacetime metric. We describe an approach in which GR becomes an SU(2) gauge theory. We start at the linearised level and show how a gauge theoretic Lagrangian for…

广义相对论与量子宇宙学 · 物理学 2015-06-04 Kirill Krasnov

Scalar tensor theories of gravity can be formulated in the Einstein or in the Jordan frame, which are related by the conformal transformations. Although the two frames are describe the same physics, and are equivalent, the stability of the…

广义相对论与量子宇宙学 · 物理学 2020-11-24 Amin Salehi

We study a noncommutative deformation of general relativity where the gravitational field is described by a matrix-valued symmetric two-tensor field. The equations of motion are derived in the framework of this new theory by varying a…

广义相对论与量子宇宙学 · 物理学 2011-02-17 Guglielmo Fucci , Ivan G. Avramidi

The disformal transformation of metric $g_{\mu \nu} \to \Omega^2 (\phi)g_{\mu \nu}+\Gamma(\phi,X) \partial_{\mu}\phi \partial_{\nu}\phi$, where $\phi$ is a scalar field with the kinetic energy $X= \partial_{\mu}\phi \partial^{\mu}\phi/2$,…

广义相对论与量子宇宙学 · 物理学 2015-10-07 Shinji Tsujikawa

We show that the parent Lagrangian method gives a natural generalization of the dual theories concept for non p-form fields. Using this generalization we construct here a three-parameter family of Lagrangians that are dual to the…

高能物理 - 理论 · 物理学 2009-11-07 H. Casini , R. Montemayor , Luis F. Urrutia

We investigate the cosmological background evolution and perturbations in a general class of spatially covariant theories of gravity, which propagates two tensor modes and one scalar mode. We show that the structure of the theory is…

广义相对论与量子宇宙学 · 物理学 2016-02-09 Tomohiro Fujita , Xian Gao , Jun'ichi Yokoyama