Schwarzschild and other coordinate-dependent solutions of gravitational field in General Relativity

We study the relation between the Schwarzschild solution and other coordinate-dependent solutions of the gravitational field produced by a point mass in the free space. We demonstrate that, although an infinite number of different coordinate systems can be used for solving this problem in general relativity, the physical solution is unique and unambiguous. Importantly, this physical solution differs from the Schwarzschild solution because the true physical distance R is distinct from the Schwarzschild coordinate distance r. This fact is often ignored and leads to many confusions. For instance, the event horizon present in the Schwarzschild solution is actually missing in the true physical solution, being just an apparent phenomenon associated with the Schwarzschild coordinates. Similarly, the concepts of the trapped surface at r lower than the Schwarzschild radius and the intrinsic singularity at r = 0, discussed in many papers and textbooks, are misleading.