Relativity and Cosmology


Covariant Theory of Gravitation

Authors: Sergey G. Fedosin

The history of appearance and characteristics of covariant theory of gravitation (CTG) and its difference from the general theory of relativity (GTR) are described. CTG is developed as an axiomatic theory based on five axioms using the language of 4-vectors and tensors, and is derived from the principle of least action and through Hamilton equations. In CTG gravitational radiation of any body is based on equation of its motion and has a dipole component. In GTR we proceed from the tensor nature of metric field and take into account all the bodies of considered material system at once, and therefore the basis of gravitational radiation is only the quadrupole component. The CTG Hamiltonian is obtained in two ways – either through 4-velocity or through generalized 4-momentum.

Comments: 5 Pages. Essay written for the Gravity Research Foundation 2013 Awards for Essays on Gravitation

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[v1] 2013-06-09 10:09:59

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