The given Chapter 2 is devoted to the GRT criticism. A set of striking doubtful points from the GRT textbooks is emphasized, beginning with general concepts of the covariance, baseline physical notions, and finishing with more specific ones. The proof of the geometry invariance in a rotating coordinate system is carried out in detail. The groundlessness and inconsistency of the principle of equivalence in GRT is discussed. The inconsistency of the notion of time and its synchronization in GRT is demonstrated. The methods of time synchronization and simultaneous measurement of lengths are indicated for the most interesting special cases. The invariance of space geometry is demonstrated and the role of boundaries is also discussed in Chapter 2. The doubtful points are emphasized both for the methods and for numerous corollaries of GRT. The inconsistency of the notion of "black holes", of Schwarzschild's solution and many other GRT corollaries are considered in detail. The Mach principle and its possible verification are also discussed.

The ultimate conclusion of this Chapter 2 consists in the necessity of returning to classical notions of space and time and of constructing the gravitation theory on this established basis.