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Relative Formulation of Physical Laws

In: The Physical and Mathematical Foundations of the Theory of Relativity

Author

Listed:
  • Antonio Romano

    (Università degli Studi di Napoli Federico II, Dipartimento di Matematica e Applicazioni “Renato Caccioppoli”)

  • Mario Mango Furnari

    (Istituto di Cibernetica)

Abstract

In Chap. 7 we described the procedures that in special relativity allow us to derive the physical laws relative to an inertial frame starting from their 4-dimensional formulation and vice versa. Determining analogous procedures in general relativity is a more difficult task. In this chapter, we analyze reasonable criteria leading to the relative formulation of physical laws starting from their 4-dimensional formulation. By this approach we determine the momentum equation and the energy equation of a material point relative to an arbitrary frame of reference starting from the four-dimensional momentum–energy equation. Then we compare the obtained equation with similar equations proposed in the literature. Finally, the above procedure is applied to derive the relative charge conservation, Maxwell’s equations, and the balance equations of an incoherent fluid (For the content of this chapter, see the review paper [142]).

Suggested Citation

  • Antonio Romano & Mario Mango Furnari, 2019. "Relative Formulation of Physical Laws," Springer Books, in: The Physical and Mathematical Foundations of the Theory of Relativity, chapter 0, pages 447-481, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-27237-1_17
    DOI: 10.1007/978-3-030-27237-1_17
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