On the scalar-tensor theory of Lau and Prokhovnik

Computer Science – Numerical Analysis

Scientific paper

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Cosmology, Dirac Equation, Gravitation Theory, Relativistic Theory, Scalars, Tensor Analysis, Numerical Analysis, Quantum Theory, Time Dependence

Scientific paper

Recently Lau and Prokhovnik (42.066.051) have formulated a new scalar-tensor theory of gravitation which reconciles Dirac's large numbers hypothesis with Einstein's theory of general relativity. The present work points out an error in the time-dependent cosmological term and the scalar potential given by Lau and Prokhovnik. The correct forms for these quantities are derived. Further, a vacuum Robertson-Walker solution to the generalized field equations is obtained, under an ansatz that the authors propose, which illustrates that the theory is, in some sense, incomplete.

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