I give a general review of the history of inflationary cosmology and of its present status.
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Brief history of inflationSince inflationary theory is now more than 25 years old, perhaps it is not inappropriate to start this paper with a brief history of the first stages of its development.Several ingredients of inflationary cosmology were discovered in the beginning of the 70's. The first realization was that the energy density of a scalar field plays the role of the vacuum energy/cosmological constant [1], which was changing during the cosmological phase transitions [2]. In certain cases these changes occur discontinuously, due to first order phase transitions from a supercooled vacuum state (false vacuum) [3].In 1978, Gennady Chibisov and I tried to use these facts to construct a cosmological model involving exponential expansion of the universe in the supercooled vacuum as a source of the entropy of the universe, but we immediately realized that the universe becomes very inhomogeneous after the bubble wall collisions. I mentioned our work in my review article [4], but did not pursue this idea any further.The first semi-realistic model of inflationary type was proposed by Alexei Starobinsky in 1979Starobinsky in -1980. It was based on investigation of a conformal anomaly in quantum gravity. His model was rather complicated, and its goal was somewhat different from the goals of inflationary cosmology. Instead of attempting to solve the homogeneity and isotropy problems, Starobinsky considered the model of the universe which was homogeneous and isotropic from the very beginning, and emphasized that his scenario was "the extreme opposite of Misner's initial chaos."On the other hand, Starobinsky's model did not suffer from the graceful exit problem, and it was the first model predicting gravitational waves with a flat spectrum [5]. The first mechanism of production of adiabatic perturbations of the metric with a flat spectrum, which are responsible for galaxy production, and which were found by the observations of the CMB anisotropy, was proposed by Mukhanov and Chibisov [6] in the context of this model.A much simpler inflationary model with a very clear physical motivation was proposed by Alan Guth in 1981 [7]. His model, which is now called "old inflation," was based on the theory of supercooling during the cosmological phase transitions [3]. Even though this scenario did not work, it played a profound role in the development of inflationary cosmology since it contained a very clear explanation how inflation may solve the major cosmological problems.According to this scenario, inflation is as exponential expansion of the universe in a supercooled false vacuum state. False vacuum is a metastable state without any fields or particles but with large energy density. Imagine a universe filled with such "heavy nothing." When the universe expands, empty space remains empty, so its energy density does not change. The universe with a constant energy density expands exponentially, thus we have inflation in...