The Integral Energy-Momentum 4-Vector and Analysis of 4/3 Problem Based on the Pressure Field and Acceleration Field
American Journal of Modern Physics
Volume 3, Issue 4, July 2014, Pages: 152-167
Received: Jun. 10, 2014; Accepted: Jun. 20, 2014; Published: Jun. 30, 2014
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Sergey Grigor'yevich Fedosin, Perm State University, Bukireva Str. 15, Perm 614990, Russia
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As a result of integration of the equations of motion with regard to the pressure field and acceleration field the system’s integral energy-momentum 4-vector is found. It is shown that this vector in the covariant theory of gravitation must be equal to zero. This allows us to explain the 4/3 problem and the problem of neutrino energy in an ideal spherical supernova collapse. At the same time, in order to describe the system’s state, instead of the integral 4-vector we must use the four-momentum, which is derived from the Lagrangian. The described approach differs substantially from the results of the general theory of relativity, in which the integral 4-vector serves as the system’s four-momentum, and the stress-energy tensor of the gravitational field is replaced by the corresponding pseudotensor.
Four-Momentum, Four-Vector of Hamiltonian, 4/3 Problem, Acceleration Field, Pressure Field, Covariant Theory of Gravitation
To cite this article
Sergey Grigor'yevich Fedosin, The Integral Energy-Momentum 4-Vector and Analysis of 4/3 Problem Based on the Pressure Field and Acceleration Field, American Journal of Modern Physics. Vol. 3, No. 4, 2014, pp. 152-167. doi: 10.11648/j.ajmp.20140304.12
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