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14 - The Energy-Momentum Tensor

from Part I - General Properties of Fields; Scalars and Gauge Fields

Published online by Cambridge University Press:  04 March 2019

Horaƫiu Năstase
Affiliation:
Universidade Estadual Paulista, São Paulo
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Summary

In this chapter we study the energy-momentum tensor. After defining it from the Lagrangian formalism, we consider conservation equations in general, and apply it to the energy–momentum tensor. We find an ambiguity in the definition of the energy–momentum tensor, we fix it by considering the symmetric tensor, and we find the interpretation of the tensor's components. The Belinfante tensor form is defined by coupling to gravity. Finally, we give as an example the electromagnetic field, for which we calculate the energy–momentum tensor.

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Publisher: Cambridge University Press
Print publication year: 2019

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