Towards the Einstein-Hilbert Action via Conformal Transformation

Jun, 1988
8 pages
Published in:
  • Phys.Rev.D 39 (1989) 3159
Report number:
  • UTAP-75/88

Citations per year

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Abstract: (APS)
A conformal transformation is used to prove that a general theory with the action S=FdDx √-g [F(φ,R)-(ε/2)(∇φ)2], where F(φ,R) is an arbitrary function of a scalar φ and a scalar curvature R, is equivalent to a system described by the Einstein-Hilbert action plus scalar fields. This equivalence is a simple extension of those in R2-gravity theory and the theory with nonminimal coupling. The case of F=L(R), where L(R) is an arbitrary polynomial of R, is discussed as an example.
  • GRAVITATION
  • FIELD THEORY: SCALAR
  • FIELD THEORY: ACTION
  • TRANSFORMATION: CONFORMAL