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On boundary terms and conformal transformations in curved space-times

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arxiv gr-qc/0107077 v1 pith:JINY4IRP submitted 2001-07-24 gr-qc hep-th

R. Casadio , A. Gruppuso This is my paper · ORCID
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keywords termsboundaryconformaltransformationsactiondimensionsframegravity
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We intend to clarify the interplay between boundary terms and conformal transformations in scalar-tensor theories of gravity. We first consider the action for pure gravity in five dimensions and show that, on compactifing a la Kaluza-Klein to four dimensions, one obtains the correct boundary terms in the Jordan (or String) Frame form of the Brans-Dicke action. Further, we analyze how the boundary terms change under the conformal transformations which lead to the Pauli (or Einstein) frame and to the non-minimally coupled massless scalar field. In particular, we study the behaviour of the total energy in asymptotically flat space-times as it results from surface terms in the Hamiltonian formalism.

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Cited by 3 Pith papers

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  1. Ordering-Independent Wheeler-DeWitt Equation for Flat Minisuperspace Models

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    Path-integral measures determine operator orderings for the Wheeler-DeWitt equation in flat minisuperspace models, with all consistent choices yielding identical physical observables via field redefinition Jacobians.

  2. The Unknown Face of Scalar-Tensor Gravitational Theories

    gr-qc 2025-03 unverdicted novelty 5.0 of 10

    The conformal frame problem in scalar-tensor theories stems from incomplete transformation rules for parameters and overlooked Ward identities; active conformal transformations provide the suitable framework while pas...

  3. Conformal form-invariant parametrization of scalar-tensor gravity theories: A critical analysis

    gr-qc 2025-04 unverdicted novelty 2.0 of 10

    A critical review of conformal form-invariant parametrization in scalar-tensor theories, testing its novelty relative to existing frames and the universality of frame-invariant physical predictions.

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