The Effective Gravitational Lagrangian and the Energy Momentum Tensor in the Inflationary Universe

1986
8 pages
Published in:
  • Class.Quant.Grav. 3 (1986) 817-824

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Abstract: (IOP)
The inflationary model proposed by Guth (1981), is based on non-classical behaviour of the energy-momentum tensor. The authors try to evaluate the corrections to the usual linear relation between the scalar curvature and the trace of the energy-momentum tensor, R approximately 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 one to evaluate the corrections to the relation R approximately T, which may be developed in powers of R or T at will.
  • GRAVITATION
  • FIELD THEORY: EFFECTIVE LAGRANGIANS
  • TENSOR: ENERGY-MOMENTUM
  • MODEL: INFLATION
  • Einstein equation
  • FIELD EQUATIONS: SOLUTION
  • NUMERICAL CALCULATIONS
  • COSMOLOGICAL MODEL
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