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We give an alternative description of the physical content of general relativity that does not require a Lorentz invariant spacetime. Instead, we find that gravity admits a dual description in terms of a theory where local size is…

广义相对论与量子宇宙学 · 物理学 2011-03-30 Henrique Gomes , Sean Gryb , Tim Koslowski

Several approaches to quantum gravity (including the model of superplastic vacuum; Diakonov tetrads emerging as the bilinear combinations of the fermionis fields; $BF$-theories of gravity; and effective acoustic metric) suggest that in…

广义相对论与量子宇宙学 · 物理学 2023-01-18 G. E. Volovik

In this review we present a thoroughly comprehensive survey of recent work on modified theories of gravity and their cosmological consequences. Amongst other things, we cover General Relativity, Scalar-Tensor, Einstein-Aether, and Bimetric…

宇宙学与河外天体物理 · 物理学 2015-05-28 Timothy Clifton , Pedro G. Ferreira , Antonio Padilla , Constantinos Skordis

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

The models of New General Relativity have recently got attention of research community, and there are some works studying their dynamical properties. The formal aspects of this investigation have been mostly restricted to the primary…

广义相对论与量子宇宙学 · 物理学 2024-01-03 Alexey Golovnev , A. N. Semenova , V. P. Vandeev

We study general relativity in the framework of non-commutative differential geometry. In particular, we introduce a gravity action for a space-time which is the product of a four dimensional manifold by a two-point space. In the simplest…

高能物理 - 理论 · 物理学 2008-11-26 A. H. Chamseddine , G. Felder , J. Fröhlich

The universal character of the gravitational interaction provided by the equivalence principle motivates a geometrical description of gravity. The standard formulation of General Relativity \`a la Einstein attributes gravity to the…

广义相对论与量子宇宙学 · 物理学 2021-04-13 Jose Beltrán Jiménez , Lavinia Heisenberg , Tomi Sebastian Koivisto , Simon Pekar

Despite many nice properties and numerous achievements, general relativity is not a complete theory. One of actual approaches towards more complete theory of gravity is its nonlocal modification. We present here a brief review of nonlocal…

广义相对论与量子宇宙学 · 物理学 2017-01-04 Branko Dragovich

We investigate the Hamiltonian structure of a class of gravitational theories whose actions are linear in the lapse function. We derive the necessary and sufficient condition for a theory in this class to have two or less local physical…

广义相对论与量子宇宙学 · 物理学 2017-11-01 Chunshan Lin , Shinji Mukohyama

General matterless models of gravity include dilaton gravity, arbitrary powers in curvature, but also dynamical torsion. They are a special class of "Poisson-sigma-models" whose solutions are known completely, together with their general…

广义相对论与量子宇宙学 · 物理学 2007-05-23 W. Kummer

Quantizing the gravitational field described by General relativity being a notorious difficult, unsolved and maybe meaningless problem I use in this essay a different strategy: I consider a linear theory in the framework of Special…

综合物理 · 物理学 2016-03-28 Ll. Bel

It is commonly accepted that the study of 2+1 dimensional quantum gravity could teach us something about the 3+1 dimensional case. The non-perturbative methods developed in this case share, as basic ingredient, a reformulation of gravity as…

广义相对论与量子宇宙学 · 物理学 2007-05-23 E. Buffenoir , K. Noui

Modified theories of gravity usually present new degrees of freedom, as well as higher order derivatives, wrong signs in certain terms and complicated couplings already present in the Lagrangian from the beginning or originated by the field…

广义相对论与量子宇宙学 · 物理学 2022-07-28 Adrià Delhom , Alejandro Jiménez-Cano , Francisco José Maldonado Torralba

Starting from noncommutative generalization of Minkowski space we consider quantum deformed relativistic symmetries which lead to the modification of kinematics of special relativity. The noncommutative field theory framework described by…

高能物理 - 理论 · 物理学 2015-05-18 Jerzy Lukierski

We consider a certain theory of 3-forms in 7 dimensions, and study its dimensional reduction to 4D, compactifying the 7-dimensional manifold on the 3-sphere of a fixed radius. We show that the resulting 4D theory is General Relativity (GR)…

高能物理 - 理论 · 物理学 2017-08-23 Kirill Krasnov

Theories of gravity invariant under those diffeomorphisms generated by transverse vectors, $\pd_\m\xi^\m=0$ are considered. Such theories are dubbed transverse, and differ from General Relativity in that the determinant of the metric, $g$,…

高能物理 - 理论 · 物理学 2010-12-17 Enrique Álvarez , Antón F. Faedo , J. J. López-Villarejo

Viewing gravitational energy-momentum as equal by observation, but different in essence from inertial energy-momentum naturally leads to the gauge theory of volume-preserving diffeormorphisms of an inner Minkowski space which can describe…

数学物理 · 物理学 2012-03-13 C. Wiesendanger

The huge amounts of undetected and exotic dark matter and dark energy needed to make general relativity work on large scales argue that we should investigate modifications of gravity. The only stable, metric-based and invariant alternative…

广义相对论与量子宇宙学 · 物理学 2018-07-06 R. P. Woodard

In this work we take into consideration a generalization of Gauge Theories based on the analysis of the structural characteristics of Maxwell theory, which can be considered as the prototype of such kind of theories (Maxwell-like). Such…

广义相对论与量子宇宙学 · 物理学 2017-04-03 Germano Resconi , Ignazio Licata , Christian Corda

The 4-dimensional metric $f(\R)$ theories of gravity are cast into connection-dynamical formalism with real $\SU(2)$-connections as configuration variables. Through this formalism, the classical metric $f(\R)$ theories are quantized by…

广义相对论与量子宇宙学 · 物理学 2011-05-09 Xiangdong Zhang , Yongge Ma