We present a detailed analysis of the 3+1-split formalism of gravity in the presence of a cosmological constant. The formalism helps in 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.

Gravity in the 3+1-split formalism : I. Holography as an initial value problem / D.S. Mansi, A.C. Petkou, G.Tagliabue. - In: CLASSICAL AND QUANTUM GRAVITY. - ISSN 0264-9381. - 26:4(2009 Jan 30), pp. 045008.1-045008.22.

Gravity in the 3+1-split formalism : I. Holography as an initial value problem

G.Tagliabue
Ultimo
2009-01-30

Abstract

We present a detailed analysis of the 3+1-split formalism of gravity in the presence of a cosmological constant. The formalism helps in 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.
HYPERBOLIC STATIC SPACETIMES ; QUANTUM-GRAVITY ; RENORMALIZATION ; DYNAMICS
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2434/62457
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