Antisymmetrised 2p-forms generalising curvature 2-forms and a corresponding p-hierarchy of Schwarzschild type metrics in dimensions d>2p+1

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dc.creatorChakrabarti, A.
dc.creatorTchrakian, D. H.
dc.date1999-08-19
dc.date.accessioned2026-07-07T04:26:53Z
dc.date.available2026-07-07T04:26:53Z
dc.descriptionStarting with the curvature 2-form a recursive construction of totally antisymmetrised 2p-forms is introduced, to which we refer as p-Riemann tensors. Contraction of indices permits a corresponding generalisation of the Ricci tensor. Static, spherically symmetric ``$p$-Ricci flat'' Schwarzschild like metrics are constructed in this context for d>2p+1, d being the spacetime dimension. The existence of de Sitter type solutions is pointed out. Our 2p-forms vanish for $d<2p$ and the limiting cases d=2p and d=2p+1 exhibit special features which are discussed briefly. It is shown that for d=4p our class of solutions correspond to double-selfdual Riemann 2p-form (or p-Riemann tensor). Topological aspects of such generalised gravitational instantons and those of associated (through spin connections) generalised Yang-Mills instantons are briefly mentioned. The possibility of a study of surface deformations at the horizons of our class of ``p-black holes'' leading to Virasoro algebras with a p-dependent hierarchy of central charges is commented on. Remarks in conclusion indicate directions for further study and situate our formalism in a broader context.
dc.description15 pages, revtex
dc.identifierhttps://arxiv.org/abs/hep-th/9908128
dc.identifierhttp://arxiv.org/abs/hep-th/9908128
dc.identifierAdv.Theor.Math.Phys. 3 (1999) 791-814
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56219
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleAntisymmetrised 2p-forms generalising curvature 2-forms and a corresponding p-hierarchy of Schwarzschild type metrics in dimensions d>2p+1
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