"Acceleration of time in the field of gravity kills the black stars" - the authors state the paradoxical issue. This book is devoted to the scientific physical discovery - The Effect of Soloshenko-Yanchilin - acceleration of time in a gravitational field. The authors have created the basis for the new quantum theory of gravitation. Gravitation is the quantum phenomenon. The main goal of this paper is to initiate a public scientific discussion, and to make a challenge to an intellectual battle on the question of the rate of time in the field of gravity. Time goes faster in the field of gravity. The authors propose a crucial physical experiment with two high precision atomic clocks to verify their discovery. The physical verification of the effect to be true will be the direct way to control gravitation (www.is-si.ru/zero-transport-systems.pdf) and will open up a new age for the physics of gravitation and time. This book will be interesting to all experts in gravitation and cosmology, scientists and students curious in gravitation and space-time, who strives to understand the physics of gravity.