A necessary and sufficient condition for York data to specify an asymptotically flat spacetime

Details A necessary and sufficient condition for York data to specify an asymptotically flat spacetime A necessary and sufficient condition for York data to specify an asymptotically flat spacetime

Aug 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979jmp....20.1741c&link_type=abstract

Journal of Mathematical Physics, Volume 20, Issue 8, pp. 1741-1744 (1979).

Mathematics

Mathematical Physics

18

Exact Solutions, Canonical Formalism, Lagrangians, And Variational Principles

Scientific paper

This paper studies the conditions under which Cauchy data (g,π,ν,T) for an asymptotically flat spacetime are determined by the freely specifiable York data (g, σ, ν, T) (τ=0), where trgσ=0, divgσ=8πν. It is shown that the space of such σ's is infinite dimensional. Furthermore,it is shown that (g, σ, ν, T) determine conformally equivalent Cauchy data if and only if g is conformally equivalent to an asymptotically flat metric with nonnegative scalar curvature.

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