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02 November 2024
 
  » arxiv » gr-qc/9307034

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Extended Gravity Theories and the Einstein-Hilbert Action
David Wands ;
Date 23 Jul 1993
Journal Class.Quant.Grav. 11 (1994) 269-280
Subject gr-qc
AbstractI discuss the relation between arbitrarily high-order theories of gravity and scalar-tensor gravity at the level of the field equations and the action. I show that $(2n+4)$-order gravity is dynamically equivalent to Brans-Dicke gravity with an interaction potential for the Brans-Dicke field and $n$ further scalar fields. This scalar-tensor action is then conformally equivalent to the Einstein-Hilbert action with $n+1$ scalar fields. This clarifies the nature and extent of the conformal equivalence between extended gravity theories and general relativity with many scalar fields.
Source arXiv, gr-qc/9307034
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