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Titlebook: Variational Approach to Gravity Field Theories; From Newton to Einst Alberto Vecchiato Textbook 2017 Springer International Publishing AG 2

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The Geometrical Character of Physics TheoriesOne of the powerful features of the variational approach is its generality. It is in fact based on a simple principle, stating that physical laws share the common characteristics of minimizing the action of a system, and as we have seen this can be applied to mechanics (i.e., the dynamics of particles) as well as to the dynamics of fields.
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Gravity and Special RelativityWe know that, contrary to electromagnetism, the Newtonian theory of gravity is compatible with Newtonian dynamics, and because we have just realized that the latter has to be replaced by special relativity, it is easy to understand that the former has to be superseded by another theory of gravity which is compatible with the new dynamics.
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Lagrangian Formulation of General RelativityIn Chap. . it has been shown that the formulation of relativistic dynamics naturally fits into the Minkowskian geometry, which is covariant with respect to the Lorentz transformations.
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Alberto VecchiatoDescribes an approach to general relativity particularly relevant for physics students.Evidences the continuity, from the point of view of theoretical physics, of all the gravity theories as field the
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https://doi.org/10.1007/978-3-319-51211-2Alternative Gravity Theories; Electomagnetism in Special Relativity; Lagrangian Approach; Newtonian Gra
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