3 citations · 5 across the 4 of their papers we have counts for
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The Role of Elliptic Operators in the Initial-Value Problem for General Relativity
Giampiero Esposito, Cosimo Stornaiolo
The Arnowitt-Deser-Misner (ADM) equations are deeply intertwined with discrete spectral resolutions of an elliptic operator of Laplace type associated with the spacelike hypersurfa…
Boundary Effects in One-Loop Supergravity
Giampiero Esposito, Alexander Yu. Kamenshchik
A brief review is presented of motivations and results in one-loop supergravity on manifolds with boundary, whose consideration is suggested by quantum cosmology.
Casimir Energy in Non-Covariant Gauges
Giampiero Esposito, Alexander Yu. Kamenshchik, Klaus Kirsten
The zero-point energy of a conducting spherical shell is studied by imposing the axial gauge via path-integral methods, with boundary conditions on the electromagnetic potential an…
On the ADM Equations for General Relativity
Giampiero Esposito, Cosimo Stornaiolo
The Arnowitt-Deser-Misner (ADM) evolution equations for the induced metric and the extrinsic-curvature tensor of the spacelike surfaces which foliate the space-time manifold in can…
Lorenz Gauge in Quantum Cosmology
Giampiero Esposito, Giuseppe Pollifrone
In a path-integral approach to quantum cosmology, the Lorenz gauge-averaging term is studied for Euclidean Maxwell theory on a portion of flat four-space bounded by two concentric…