Talk detail

Participant	Verozub, Leonid
Institution	Kharkiv Kharasin University - Svobodi 4 - Kharkov - Kharkiv - Ukraine

Session	AT4	Accepted	Yes	Order	994	Time
Talk	Poster abstract	Title	What is meaning of non-uniqueness of FRW and Schwarzschild metrics?
Co-authors
Abstract	We argue that any theory of gravitation, based on the hypothesis of geodesic motion of test particles, must be invariant under geodesic (projective) mappings of the used space-time. The reason is that due to invariance of equations of geodesic lines under a continuous group of transformations of the coefficients of affine connection, there is a wide class of transformations of the geometrical objects of the Riemannian space-time which leaves invariant equations of motion of test particles. The FRW metric in cosmology and the Schwarzschild metric are good examples to make sure that the standard space-time metrics does not determine the gravitational field unequivocally even in a given coordinate system.