Conservation of the Energy-Momentum
| Autor: | G. Ares de Parga, R. E. Gonzalez-Narvaez, R. Mares |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Tensor contraction
Physics Physics and Astronomy (miscellaneous) 010308 nuclear & particles physics Cauchy stress tensor General Mathematics Energy–momentum relation 01 natural sciences Classical mechanics Exact solutions in general relativity Classical electromagnetism and special relativity 0103 physical sciences Four-tensor Stress–energy tensor 010306 general physics Tensor density |
| Zdroj: | International Journal of Theoretical Physics. 56:3213-3231 |
| ISSN: | 1572-9575 0020-7748 |
| DOI: | 10.1007/s10773-017-3489-1 |
| Popis: | In Relativity the sum of 4−vectors in different points does not generally represent a 4−vector. By using this result, it is shown by simple methods that the total energy-momentum of a system of point particles represents a well-defined 4−vector if the particles do not interact. It is proved that this is equivalent to the no-interaction theorem in Classical Physics. This theorem difficulties the study of a system of interacting particles since it is not even possible to define the total energy-momentum nor the reference frame where the system is at rest. This impediment is avoided by adding to the energy-momentum tensor the stress tensor describing the interaction. As an example, this is applied to a system of charged particles. In the process, the equation of motion for a charged particle including the self-force is formally obtained. However, when a thermodynamic system is analyzed from two different reference frames with a relativistic relative velocity, the interaction between the particles and the walls of the volume cannot be described by means of a covariant stress tensor and consequently the proposed technique is not feasible. Despite the above mentioned drawbacks, a covariant theory of the relativistic transformation laws of the thermodynamic quantities is developed. |
| Databáze: | OpenAIRE |
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