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The ambient metric
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This paper provides details of the construction, properties and some applications of the ambient metric associated to a conformal class of metrics on a smooth manifold. Existence and uniqueness of formal expansions defining such metrics are considered. Equivalence with the expansions of associated Poincare metrics is established. Definitions and properties of conformal curvature tensors defined by ambient metrics together with formulation and proof of a jet isomorphism theorem with application to the characterization of scalar conformal invariants are given.
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Forward citations
Cited by 3 Pith papers
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Positivity of holographic energy
Positivity of a weighted holographic energy is proven for 4D spacetimes with negative cosmological constant and conformally static boundaries of spherical or toroidal topology with compatible spin structure.
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Holographic is Hamiltonian, relatively
A relative holographic energy coincides with the relative Hamiltonian energy.
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Positivity of holographic energy
Positivity is proven for a weighted holographic energy in 4D asymptotically AdS spacetimes with conformally static boundaries of spherical or toroidal topology.
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