Conserved gravitational charges from Yano tensors | Zendy

David Kastor | Zendy; Jennie Traschen | Zendy

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Conserved gravitational charges from Yano tensors

Author(s) -

David Kastor,

Jennie Traschen

Publication year - 2004

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2004/08/045

Subject(s) - spacetime , charge (physics) , physics , mathematical physics , brane , tensor (intrinsic definition) , rank (graph theory) , gravitation , conserved quantity , brane cosmology , classical mechanics , pure mathematics , quantum mechanics , mathematics , combinatorics

The defining properties of Yano tensors naturally generalize those of Killingvectors to anti-symmetric tensor fields of arbitrary rank. We show how the Yanotensors of flat spacetime can be used to construct new, conserved gravitationalcharges for transverse asymptotically flat spacetimes. The relationship ofthese new charges to Yano tensors parallels that of ordinary ADM conservedcharges to Killing vectors. Hence, we call them Y-ADM charges. A rank n Y-ADMcharge is given by an integral over a co-dimension $n$ slice of spatialinfinity. In particular, a rank (p+1) Y-ADM charge in a p-brane spacetime isgiven by an integral over only the D-(p+2) dimensional sphere surrounding thebrane and may be regarded as an intensive property of the brane.Comment: 13 pages, 0 figure

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