Gravity in the 3+1-Split Formalism I: Holography as an Initial Value Problem

Details Gravity in the 3+1-Split Formalism I: Holography as an Initial Value Problem Gravity in the 3+1-Split Formalism I: Holography as an Initial Value Problem

2008-08-08

arxiv.org/abs/0808.1212v2

Class.Quant.Grav.26:045008,2009

Physics

High Energy Physics

High Energy Physics - Theory

28 pages; v2: minor improvements, references added

Scientific paper

10.1088/0264-9381/26/4/045008

We present a detailed analysis of the 3+1-split formalism of gravity in the presence of a cosmological constant. The formalism helps revealing the intimate connection between holography and the initial value formulation of gravity. We show that the various methods of holographic subtraction of divergences correspond just to different transformations of the canonical variables, such that the initial value problem is properly set up at the boundary. The renormalized boundary energy momentum tensor is a component of the Weyl tensor.

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