On the conformal transformation and duality in gravity
نویسندگان
چکیده
منابع مشابه
On the conformal transformation and duality in gravity
The theory described by the sum of the Einstein-Hilbert action and the action of conformal scalar field possesses the duality symmetry which includes some special conformal transformation of the metric, and also inversion of scalar field and of the gravitational constant. In the present paper the conformal duality is generalized for an arbitrary space-time dimension n 6= 2 and for the general s...
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The conformal transformation in the Einstein Hilbert action leads to a new frame where an extra scalar degree of freedom is compensated by the local conformal-like symmetry. We write down a most general action resulting from such transformation and show that it covers both general relativity and conformally coupled to gravity scalar field as the particular cases. On quantum level the equivalenc...
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چکیده ندارد.
15 صفحه اولDuality and conformal structure
In four dimensions, two metrics that are conformally related define the same Hodge dual operator on the space of two-forms. The converse, namely, that two metrics that have the same Hodge dual are conformally related, is established. This is true for metrics of arbitrary (nondegenerate) signature. For Euclidean signature a stronger result, namely, that the conformal class of the metric is compl...
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An important class of Finsler metric is named Kropina metrics which is defined by Riemannian metric α and 1-form β which have many applications in physic, magnetic field and dynamic systems. In this paper, conformal transformations of χ-curvature and H-curvature of Kropina metrics are studied and the conditions that preserve this quantities are investigated. Also it is shown that in the ...
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ژورنال
عنوان ژورنال: Classical and Quantum Gravity
سال: 1997
ISSN: 0264-9381,1361-6382
DOI: 10.1088/0264-9381/14/2/013