| Summary: | 碩士 === 國立臺灣大學 === 物理學研究所 === 92 === The concept of the gravitational field energy-momentum tensor is an
interesting problem from the time of Einstein''s general relativity
established. It allures a lot of the theoretical and experimental physicsts
to discuss and dispute it. The thesis is presented in a self-contained
manner. We gives a review of the some topics about the gravitational theory
including the preliminary of the spin 2 graviton and the canonical and
metric energy-momentum tensors of the diverse fields. We derive the
Yang-Mills gauge theory of the first-order and second-order formalisms by
requiring minimal-coupling and gauge invariant. The Einstein gravitational
theory in the first-order form is derived from the the linear theory, but
for the second-order form we need to do infinite times of iterations.
Finally, different definitons of the graviton energy-momentum tensor density
is considered. We show that they are not equal since we can choose an
inertial coordinate frame to eliminant the effect of gravity by the
equivalence principle. Consequently, the local energy-momentum tensor is
meaningless.
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