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In the gauge theory of gravity based on the Poincare group (the semidirect product of the Lorentz group and the spacetime translations) the mass (energy-momentum) and the spin are treated on an equal footing as the sources of the…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Yuri N. Obukhov

During the last five decades, gravity, as one of the fundamental forces of nature, has been formulated as a gauge theory of the Weyl-Cartan-Yang-Mills type. The present text offers commentaries on the articles from the most prominent…

广义相对论与量子宇宙学 · 物理学 2022-05-10 Milutin Blagojević , Friedrich W. Hehl

We demonstrate that Einstein's general relativity theory arises as a special case in the framework of the Poincar\'e gauge theory of gravity under the assumption of a suitable nonminimal coupling of matter to the Riemann-Cartan geometry of…

广义相对论与量子宇宙学 · 物理学 2020-11-24 Yuri N. Obukhov , Friedrich W. Hehl

In this paper is considered a generalized quantization principle for the gravitational field in canonical quantum gravity, especially with respect to quantum geometrodynamics. This assumption can be interpreted as a transfer from the…

广义相对论与量子宇宙学 · 物理学 2012-08-07 Martin Kober

The Poincar\'e group can be interpreted as the group of isometries of a minkowskian space. This point of view suggests to consider the group of isometries of a given space as the suitable group to construct a gauge theory of gravity. We…

广义相对论与量子宇宙学 · 物理学 2014-11-20 J. Martin-Martin , A. Tiemblo

Galilei-Newton spacetime $\mathbb{G}$ with its Galilei group can be understood as a `degeneration' as $c \rightarrow \infty$ of Minkowski spacetime $\mathbb{M}$ with its Poincar\'e group. $\mathbb{G}$ does not have a spacetime metric and…

综合物理 · 物理学 2023-05-31 Christian Y. Cardall

These notes summarise a talk surveying the combinatorial or Hamiltonian quantisation of three dimensional gravity in the Chern-Simons formulation, with an emphasis on the role of quantum groups and on the way the various physical constants…

广义相对论与量子宇宙学 · 物理学 2011-05-20 Bernd J Schroers

In many different ways, Deformed Special Relativity (DSR) has been argued to provide an effective limit of quantum gravity in almost-flat regime. Some experiments will soon be able to test some low energy effects of quantum gravity, and DSR…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Florian Girelli , Etera R. Livine

We consider Chern-Simons theories for the Poincare, de Sitter and anti-de Sitter groups in three dimensions which generalise the Chern-Simons formulation of 3d gravity. We determine conditions under which kappa-Poincare symmetry and its de…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Catherine Meusburger , Bernd Schroers

The possible description of the vacuum of quantum gravity through the so called kappa--Poincare group is analyzed considering some of the consequences of this symmetry in the path integral formulation of nonrelativistic quantum theory. This…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Abel Camacho , A. Camacho-Galvan

Einstein Gravity can be formulated as a gauge theory with the tangent space respecting the Lorentz symmetry. In this paper we show that the dimension of the tangent space can be larger than the dimension of the manifold and by requiring the…

高能物理 - 理论 · 物理学 2013-10-18 Ali H. Chamseddine , Viatcheslav Mukhanov

We generalize the scale invariant gravity by allowing a negative kinetic energy term for the classical scalar field. This gives birth to a new scalar-tensor theory of gravity, in which the scalar field is in fact an auxiliary field. For a…

高能物理 - 理论 · 物理学 2007-05-23 Shih-Yuin Lin , Kin-Wang Ng

In hep-th/0506040 we discussed a classically constrained model of gravity. This theory contains known solutions of General Relativity (GR), and admits solutions that are absent in GR. Here we study cosmological implications of some of these…

高能物理 - 理论 · 物理学 2008-11-26 Gregory Gabadadze , Yanwen Shang

We argue that a (slightly) curved space-time probed with a finite resolution, equivalently a finite minimal length, is effectively described by a flat non-commutative space-time. More precisely, a small cosmological constant (so a constant…

广义相对论与量子宇宙学 · 物理学 2016-08-31 Florian Girelli , Etera R. Livine , Daniele Oriti

We define `third derivative' General Relativity, by promoting the integration measure in Einstein-Hilbert action to be an arbitrary $4$-form field strength. We project out its local fluctuations by coupling it to another $4$-form field…

高能物理 - 理论 · 物理学 2022-09-21 Nemanja Kaloper

As shown in the famous Dyson's paper "Missed Opportunities", even from purely mathematical considerations (without any physics) it follows that Poincare quantum symmetry is a special degenerate case of de Sitter quantum symmetries. Then the…

综合物理 · 物理学 2025-02-28 Felix M. Lev

General covariant unimodular gravity frameworks, based on the Henneaux-Teitelboim formulation, are, in disguise, precisely $4$-form field theories corrected with higher dimension operators. In the presence of charged tensional membranes,…

高能物理 - 理论 · 物理学 2023-07-11 Nemanja Kaloper

We make a number of remarks on linearized gravity with cosmological constant in any dimension, which, we argue, can be useful in a quantum gravity framework. For this purpose we assume that the background space-time metric corresponds to…

广义相对论与量子宇宙学 · 物理学 2019-04-16 C. García-Quintero , A. Ortiz , J. A. Nieto

We investigate the cosmology of a recently proposed deformation of Einstein gravity, emerging from quantum gravity heuristics. The theory is constructed to have de Sitter space as a vacuum solution, and thus to be relevant to the…

天体物理学 · 物理学 2009-11-11 Damien A. Easson , Frederic P. Schuller , Mark Trodden , Mattias N. R. Wohlfarth

The unitary irreducible representations of a Lie group defines the Hilbert space on which the representations act. If this Lie group is a physical quantum dynamical symmetry group, this Hilbert space is identified with the physical quantum…

数学物理 · 物理学 2007-05-23 Stephen G. Low