From inflation to a zero cosmological constant phase without fine tuning

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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revised version containes an improved model where fine tuning is not needed for transition to a zero cosmological constant pha

Scientific paper

10.1103/PhysRevD.57.7200

We show that it is possible to obtain inflation and also solve the cosmological constant problem. The theory is invariant under changes of the Lagrangian density $L$ to $L+const$. Then the constant part of a scalar field potential $V$ cannot be responsible for inflation. However, we show that inflation can be driven by a condensate of a four index field strength. A constraint appears which correlates this condensate to $V$. After a conformal transformation, the equations are the standard GR equations with an effective scalar field potential $V_{eff}$ which has generally an absolute minimum $V_{eff}=0$ independently of $V$ and without fine tuning. We also show that, after inflation, the usual reheating phase scenario (from oscillations around the absolute minimum) is possible.

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