Relativity and Cosmology

    

Inertial Mass and Equivalence Principle in General Relativity

Authors: Wenceslao González

We formulate the equivalence principle in Newtonian mechanics and General Relativity. We distinguish seven formulations of the equivalence principle, but not all are equivalent. We summarize the methods used in General Relativity to calculate the inertial mass. His examinationleads us to consider two total energy-momentum tensors: calculated from gravitational mass andusing inertial mass. The first is the one that appears in the gravitational field equation, and the second is the one that allows us to determine the system's energy and, therefore, its inertial mass.We conclude that the theory of General Relativity does not explain the equality of inertial andgravitational mass, although it is a result derivable from Newtonian mechanics.

Comments: 19 Pages.

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Submission history

[v1] 2023-09-30 10:09:21

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