As discussed in my Pedagogical lecture: We need expression for the non-forward matrix elements of the energy momentum tensor t . Although t transforms as a tensor under Lorentz transformations, its non-forward matrix elements do not. Erroneously assuming that they do led to the incorrect expression for the angular momentum expectation value for a transversely polarized nucleon: ⟨Ji⟩incorrect = ...

This brief paper investigates the consequences for the metric tensor of space-time when the Weyl tensor (in its conformally invariant form) and the energy-momentum tensor is specified. It is shown that, unless rather special conditions hold, the metric is uniquely determined up to a constant conformal factor.

The energy-momentum tensor for a massless conformally coupled scalar field in the region between two curved surface moving by uniform proper accelerations in static de Sitter spacetime is investigated. We assume that the scalar field satisfies the Robin boundary condition on the surfaces. Static de Sitter space is conformally related to the Rindler space, as a result we can obtain vacuum expect...

We develop the holographic renormalization of AdS2 gravity systematically. We find that a bulk Maxwell term necessitates a boundary mass term for the gauge field and verify that this unusual term is invariant under gauge transformations that preserve the boundary conditions. We determine the energy-momentum tensor and the central charge, recovering recent results by Hartman and Strominger. We s...

The energy-momentum tensor for a massless conformally coupled scalar field in the region between two parallel plates moving by uniform proper accelerations in k = −1 Robertson–Walker spacetime is investigated. We assume that the scalar field satisfies the Dirichlet boundary condition on the plates. k = −1 Robertson– Walker space is conformally related to the Rindler space, as a result we can ob...