منابع مشابه
Comment on "Gravity and the Poincaré group"
Following the approach of Grignani and Nardelli [1], we show how to cast the two–dimensional model L ∼ curv + torsion + cosm.const — and in fact any theory of gravity — into the form of a Poincaré gauge theory. By means of the above example we then clarify the limitations of this approach: The diffeomorphism invariance of the action still leads to a nasty constraint algebra. Moreover, by simple...
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The 2D model of gravity with zweibeins e a and the Lorentz connection one-form ω a b as independent gravitational variables is considered. The solutions of classical equations of motion which can be interpreted as cosmological ones are studied. Numerous recent attempts to formulate the theory of gravity in the framework of a consistent gauge approach resulted in constructing the gauge gravity m...
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The role of the modular group in the holonomy representation of (2+1)-dimensional quantum gravity is studied. This representation can be viewed as a “Heisenberg picture,” and for simple topologies, the transformation to the ADM “Schrödinger picture” may be found. For spacetimes with the spatial topology of a torus, this transformation and an explicit operator representation of the mapping class...
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A Poincaré 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 general gravitational Lagrangian density, which is at most quadratic in curvature and torsion tensors and invariant under local Lorentz transformations and under gen...
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We present a new group field theory for 4D quantum gravity. It incorporates the constraints that give gravity from BF theory and has quantum amplitudes with the explicit form of simplicial path integrals for first-order gravity. The geometric interpretation of the variables and of the contributions to the quantum amplitudes is manifest. This allows a direct link with other simplicial gravity ap...
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ژورنال
عنوان ژورنال: Classical and Quantum Gravity
سال: 2012
ISSN: 0264-9381,1361-6382
DOI: 10.1088/0264-9381/29/16/165003