David Kastor and Jennie Traschen JHEP08(2004)045 doi:10.1088/1126-6708/2004/08/045
Conserved gravitational charges from Yano tensors
David Kastor1 and Jennie Traschen1
Show affiliationsThe defining properties of Yano tensors naturally generalize those of Killing vectors to anti-symmetric tensor fields of arbitrary rank. We show how the Yano tensors of flat spacetime can be used to construct new, conserved gravitational charges for transverse asymptotically flat spacetimes. The relationship of these new charges to Yano tensors parallels that of ordinary ADM conserved charges to Killing vectors. Hence, we call them Y-ADM charges. A rank n Y-ADM charge is given by an integral over a co-dimension n slice of spatial infinity. In particular, a rank (p+1) Y-ADM charge in a p-brane spacetime is given by an integral over only the sphere SD−(p+2) surrounding the brane and may be regarded as an intensive property of the brane.
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E-print Number: hep-th/0406052
Cited: by |
Refers: to
- PACS
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04.70.Bw Classical black holes
04.50.-h Higher-dimensional gravity and other theories of gravity
- Subjects
- Dates
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Issue 08 (August 2004)
Received 9 June 2004, accepted for publication 23 August 2004
Published 14 September 2004
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Conserved gravitational charges from Yano tensors
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