Slice Energy in Higher Order Gravity Theories and Conformal Transformations

Details Slice Energy in Higher Order Gravity Theories and Conformal Transformations Slice Energy in Higher Order Gravity Theories and Conformal Transformations

2004-08-30

arxiv.org/abs/gr-qc/0408095v3

Grav.Cosmol.14:176-183,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

18 pages, references added, remark added in last Section related to the choice of physical frame, various other improvements,

Scientific paper

10.1134/S0202289308020096

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.

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