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.
DOI | 10.11648/j.ajmp.20140304.12 |
Published in | American Journal of Modern Physics (Volume 3, Issue 4, July 2014) |
Page(s) | 152-167 |
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Copyright © The Author(s), 2024. Published by Science Publishing Group |
Four-Momentum, Four-Vector of Hamiltonian, 4/3 Problem, Acceleration Field, Pressure Field, Covariant Theory of Gravitation
[1] | Thomson J J. On the electric and magnetic effects produced by the motion of electrified bodies. Philos. Mag. Ser. 5 11 (68) 229 (1881). |
[2] | Abraham M. – Phys. Ztschr., 1904, Bd 5, S.576; Theorie d.Electrizität. – Leipzig, 1905, Bd 2, S. 205. |
[3] | Poincaré H. Sur la dynamique de l’électron. – C. R. Acad Sci., Paris, 1905, v. 140, p. 1504. |
[4] | Mie G. Grundlagen einer Theorie der Materie. – Ann. d. Phys., 1912, Bd 37, S. 511; 1912, Bd 39, S. 1; 1913, Bd 40, S. 1. |
[5] | Becker R Theorie der Elektrizität Bd. II Elektronentheorie (Berlin: B.G. Teubner, 1933) [Беккер. Р. Теория электричества, Т-II, Электронная теория, Л.-М. Гостехиздат, 1941 г. ] |
[6] | Морозов В. Б. К вопросу об электромагнитном импульсе заряженных тел. УФН, 181 389–392 (2011). |
[7] | Rohrlich, F. 1997 The dynamics of a charged sphere and the electron. Am. J. Phys. 65. 1051-1056. |
[8] | Fedosin S.G. Mass, Momentum and Energy of Gravitational Field. Journal of Vectorial Relativity, Vol. 3, No. 3, 2008, P. 30–35. |
[9] | 5. Fedosin S.G. 4/3 Problem for the Gravitational Field. Advances in Physics Theories and Applications, 2013, Vol. 23, P. 19 – 25. |
[10] | Fedosin S.G. Energy, Momentum, Mass and Velocity of a Moving Body in the Light of Gravitomagnetic Theory. Accepted by Canadian Journal of Physics. |
[11] | Fedosin S.G. About the cosmological constant, acceleration field, pressure field and energy. vixra.org, 5 Mar 2014. |
[12] | L.D. Landau and E.M. Lifshitz, The Classical Theory of Fields (Vol. 2, 4th ed. Butterworth-Heinemann, 1975). |
[13] | V. A. Fock, The Theory of Space, Time and Gravitation (Pergamon Press, London, 1959). |
[14] | Fedosin S.G. Fizika i filosofiia podobiia ot preonov do metagalaktik, Perm, pages 544, 1999. ISBN 5-8131-0012-1. |
[15] | Fedosin S.G. The Hamiltonian in Covariant Theory of Gravitation. Advances in Natural Science, 2012, Vol. 5, No. 4, P. 55 – 75. |
[16] | Fedosin S.G. Fizicheskie teorii i beskonechnaia vlozhennost’ materii (Perm, 2009). |
[17] | Christensen-Dalsgaard et al. (1996) The current state of solar modeling. Science, Vol. 272, P. 1286 - 1292. |
[18] | Alfè, D.; Gillan, M. J.; Vocadlo, L.; Brodholt, J.; Price, G. D. (2002). The ab initio simulation of the Earth's core. Philosophical Transactions of the Royal Society. Vol. 360 (1795), P.1227–1244. |
[19] | Clemens, Dan P.; Yun, Joao Lin; Meyer, Mark H. (March 1991), BOK globules and small molecular clouds – Deep IRAS photometry and 12CO spectroscopy, Astrophysical Journal Supplement 75: 877. |
[20] | J. M. Lattimer and M. Prakash, Neutron Star Structure and the Equation of State. Astrophysical J. Vol. 550(1) P. 426-442 (2001). |
APA Style
Sergey Grigor'yevich Fedosin. (2014). 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, 3(4), 152-167. https://doi.org/10.11648/j.ajmp.20140304.12
ACS Style
Sergey Grigor'yevich Fedosin. The Integral Energy-Momentum 4-Vector and Analysis of 4/3 Problem Based on the Pressure Field and Acceleration Field. Am. J. Mod. Phys. 2014, 3(4), 152-167. doi: 10.11648/j.ajmp.20140304.12
AMA Style
Sergey Grigor'yevich Fedosin. The Integral Energy-Momentum 4-Vector and Analysis of 4/3 Problem Based on the Pressure Field and Acceleration Field. Am J Mod Phys. 2014;3(4):152-167. doi: 10.11648/j.ajmp.20140304.12
@article{10.11648/j.ajmp.20140304.12, author = {Sergey Grigor'yevich Fedosin}, title = {The Integral Energy-Momentum 4-Vector and Analysis of 4/3 Problem Based on the Pressure Field and Acceleration Field}, journal = {American Journal of Modern Physics}, volume = {3}, number = {4}, pages = {152-167}, doi = {10.11648/j.ajmp.20140304.12}, url = {https://doi.org/10.11648/j.ajmp.20140304.12}, eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.20140304.12}, abstract = {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.}, year = {2014} }
TY - JOUR T1 - The Integral Energy-Momentum 4-Vector and Analysis of 4/3 Problem Based on the Pressure Field and Acceleration Field AU - Sergey Grigor'yevich Fedosin Y1 - 2014/06/30 PY - 2014 N1 - https://doi.org/10.11648/j.ajmp.20140304.12 DO - 10.11648/j.ajmp.20140304.12 T2 - American Journal of Modern Physics JF - American Journal of Modern Physics JO - American Journal of Modern Physics SP - 152 EP - 167 PB - Science Publishing Group SN - 2326-8891 UR - https://doi.org/10.11648/j.ajmp.20140304.12 AB - 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. VL - 3 IS - 4 ER -