<p>We consider general scalar-tensor theories in (D +1)-dimensional spacetime. The interplay between the Jordan and Einstein frame representations is explored. As a specific illustration of the general frame-work, we examine higher-dimensional generalizations of the Jordan-Brans-Dicke theory, theories with non-minimally coupled scalar fields, f (R) gravity and low-energy string effective gravity. The properties of the Einstein frame scalar field effective potentials are discussed.</p>

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Effective Potentials in General Scalar-Tensor Theories of Gravity

  • A. A. Saharian,
  • G. H. Harutyunyan,
  • H. K. Teryan,
  • R. M. Avagyan

摘要

We consider general scalar-tensor theories in (D +1)-dimensional spacetime. The interplay between the Jordan and Einstein frame representations is explored. As a specific illustration of the general frame-work, we examine higher-dimensional generalizations of the Jordan-Brans-Dicke theory, theories with non-minimally coupled scalar fields, f (R) gravity and low-energy string effective gravity. The properties of the Einstein frame scalar field effective potentials are discussed.