Slice Energy in Higher Order Gravity Theories and Conformal Transformations

Abstract

We study the generic transport of slice energy between the scalar field generated by the conformal transformation of higher-order gravity theories and the matter component. We give precise relations for this exchange in the cases of dust and perfect fluids. We show that, unless we are in a stationary spacetime where slice energy is always conserved, in non-stationary situations contributions to the total slice energy depend on whether or not test matter follows geodesics in both frame representations of the dynamics, that is on whether or not the two conformally related frames are physically indistinguishable.

18 pages, references added, remark added in last Section related to the choice of physical frame, various other improvements, final version to appear in Gravitation and Cosmology

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Cited by in corpus (13)

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• Conformal Transformations in Cosmology of Modified Gravity: the Covariant Approach Perspective
• Generality of Starobinsky and Higgs inflation in the Jordan frame
• Infinity in string cosmology: A review through open problems
• On stability of the Kasner solution in quadratic gravity
• Conformal Transformations in Metric-Affine Gravity and Ghosts
• And what if gravity is intrinsically quantic ?
• Bianchi $VI{I}_A$ solutions of quadratic gravity
• Bianchi I solutions of effective quadratic gravity
• Homogeneous Solutions of Quadratic Gravity
• Slice Energy and Conformal Frames in Theories of Gravitation
• Tilt in quadratic gravity
• Slice Energy and Theories of Gravitation