Positivity of energy in n-dimensional Lorentzian spaces

Details Positivity of energy in n-dimensional Lorentzian spaces Positivity of energy in n-dimensional Lorentzian spaces

Jul 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985lmaph..10...55t&link_type=abstract

Letters in Mathematical Physics, Volume 10, Issue 1, pp.55-62

Mathematics

Mathematical Physics

1

Scientific paper

The spinor approach of Witten and Nester is used to show that in an n-dimensional Lorentzian space V n , the conserved total energy-momentum vector P α is nonspace-like. It is shown that P α may be expressed in terms of an integral of an antisymmetric tensor E αβ over an n - 2-dimensional subspace at space-like infinity in V n . E αβ is expressed in terms of a spinor field in V n and its covariant derivatives. This tensor is a generalization of that used in the discussion of five-dimensional Lorentzian spaces.

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