Einstein equations and conformal structure: Existence of Anti-de Sitter-type space-times

Details Einstein equations and conformal structure: Existence of Anti-de Sitter-type space-times Einstein equations and conformal structure: Existence of Anti-de Sitter-type space-times

Oct 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995jgp....17..125f&link_type=abstract

Journal of Geometry and Physics, Volume 17, Issue 2, p. 125-184.

Physics

49

Elsevier: Einstein Equations, Conformal Structure, 1991 Msc, 53A30, 83C05, 83C15

Scientific paper

We discuss Einstein's equations in the context of normal conformal Cartan connections, derive a new conformal representation of the equations, and express the equations in a conformally invariant gauge. The resulting formulation of the equations is used to show the existence of asymptotically simple solutions to Einstein's equations with a positive cosmological constant. The solutions are characterized by Cauchy data on a space-like slice and by the intrinsic conformal structure on the conformal boundary at space-like and null infinity.

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