منابع مشابه
Quadratic metric-affine gravity
We consider spacetime to be a connected real 4-manifold equipped with a Lorentzian metric and an affine connection. The 10 independent components of the (symmetric) metric tensor and the 64 connection coefficients are the unknowns of our theory. We introduce an action which is quadratic in curvature and study the resulting system of Euler–Lagrange equations. In the first part of the paper we lo...
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A sketch of the affine quantum gravity program illustrates a different perspective on several difficult issues of principle: metric positivity; quantum anomalies; and nonrenormalizability. Quantum gravity is under study from several viewpoints. Brane world scenarios and loop quantum gravity represent the two most popular approaches [1], yet alternative viewpoints may also deserve consideration....
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There is a number of completely integrable gravity theories in two dimensions. We study the metric-affine approach on a 2-dimensional spacetime and display a new integrable model. Its properties are described and compared with the known results of Poincaré gauge gravity. PACS: 04.50.+h, 04.20.Fy, 04.20.Jb, 04.60.Kz, 02.30.Ik
متن کاملThe Affine Quantum Gravity Program
The central principle of affine quantum gravity is securing and maintaining the strict positivity of the matrix {ĝab(x)} composed of the spatial components of the local metric operator. On spectral grounds, canonical commutation relations are incompatible with this principle, and they must be replaced by noncanonical, affine commutation relations. Due to the partial second-class nature of the q...
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We make it precise what it means to have a connection with torsion as solution of the Einstein equations. While locally the theory remains the same, the new formulation allows for topologies that would have been excluded in the standard formulation of gravity. In this formulation it is possible to couple arbitrary torsion to gauge fields without breaking the gauge invariance.
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ژورنال
عنوان ژورنال: International Journal of Modern Physics A
سال: 2008
ISSN: 0217-751X,1793-656X
DOI: 10.1142/s0217751x08039773