Pramana

, Volume 4, Issue 4, pp 164–170

Conformal invariance and scalar-tensor theories

  • Eric A Lord
General Relativity

Abstract

A new generalisation of Einstein’s theory is proposed which is invariant under conformal mappings. Two scalar fields are introduced in addition to the metric tensor field, so that two special choices of gauge are available for physical interpretation, the ‘Einstein gauge’ and the ‘atomic gauge’. The theory is not unique but contains two adjustable parameters ζ anda. Witha=1 the theory viewed from the atomic gauge is Brans-Dicke theory (ω=−3/2+ζ/4). Any other choice ofa leads to a creation-field theory. In particular the theory given by the choicea=−3 possesses a cosmological solution satisfying Dirac’s ‘large numbers’ hypothesis.

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References

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Copyright information

© Indian Academy of Sciences 1975

Authors and Affiliations

  • Eric A Lord
    • 1
  1. 1.Department of Applied MathematicsIndian Institute of ScienceBangalore

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