1998
DOI: 10.1088/0264-9381/15/12/021
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Sigma-model for the generalized composite p-branes

Abstract: A multidimensional gravitational model containing several dilatonic scalar fields and antisymmetric forms is considered. The manifold is chosen in the form M = M 0 × M 1 × . . . × M n , where M i are Einstein spaces (i ≥ 1). The block-diagonal metric is chosen and all fields and scale factors of the metric are functions on M 0 . For the forms composite (electro-magnetic) p-brane ansatz is adopted. The model is reduced to gravitating self-interacting sigma-model with certain constraints. In pure electric and ma… Show more

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Cited by 42 publications
(182 citation statements)
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“…Here we consider the minisuperspace covariant relations from [5,22] for the sake of completeness. Let…”
Section: Minisuperspace-covariant Notationsmentioning
confidence: 99%
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“…Here we consider the minisuperspace covariant relations from [5,22] for the sake of completeness. Let…”
Section: Minisuperspace-covariant Notationsmentioning
confidence: 99%
“…The scalar product from [22] reads (U s , U s ′ ) = 0, (2.37) for s = s ′ . The linear and quadratic constraints from (2.26) and (2.28), respectively, read in minisuperspace covariant form as follows: …”
Section: Minisuperspace-covariant Notationsmentioning
confidence: 99%
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“…These restrictions guarantee the block-diagonal form of the energy-momentum tensor and the existence of the sigma-model representation (without additional constraints) [35,34]. Let us denote w 1 ≡ {i|i ∈ {1, .…”
Section: Restrictions On P -Brane Configurationsmentioning
confidence: 99%
“…Here we remind a minisuperspace covariant form of constraints using so called U s -vectors [35]. The constraints (2.30) may be written in the following form…”
Section: U S -Vectors and Scalar Productsmentioning
confidence: 99%