Duruisseau, J. P.; Kerner, R. The effective gravitational Lagrangian and the energy-momentum tensor in the inflationary universe. (English) Zbl 0593.53045 Classical Quantum Gravity 3, 817-824 (1986). Summary: The inflationary model proposed by Guth is based on non-classical behaviour of the energy-momentum tensor. We try to evaluate the corrections to the usual linear relation between the scalar curvature and the trace of the energy-momentum tensor, \(R\sim T\), replacing the usual Einstein-Hilbert Lagrangian R by an unknown function f(R) and imposing the inflationary solution upon the scale factor a(t) of the Robertson- Walker metric. Solving for f(R) enables us to evaluate the corrections to the relation \(R\sim T\), which may be developed in powers of R or T at will. Cited in 12 Documents MSC: 53B50 Applications of local differential geometry to the sciences 83C05 Einstein’s equations (general structure, canonical formalism, Cauchy problems) 83C99 General relativity Keywords:gravitational lagrangian; inflationary model; energy-momentum tensor PDFBibTeX XMLCite \textit{J. P. Duruisseau} and \textit{R. Kerner}, Classical Quantum Gravity 3, 817--824 (1986; Zbl 0593.53045) Full Text: DOI