| Summary: | 碩士 === 國立中央大學 === 物理研究所 === 82 === Applying our general gravity theory covariant Hamiltonian
procedure to a finite region yields several expressions for
quasilocal quantities (energy-momentum and angular momentum).
The Hamiltonian 3-form includes, for each independent variable
(e.g., the connection, the coframe), one of two possible
covariant boundary terms depending upon whether the field or
its conjugate momenta is held fixed (controlled) on the
boundary. The variation of the Hamiltonian, in addition to the
field equations, then includes a boundary term with a covariant
symplectic structure which reflects the choice of control
variables. Our boundary terms are related to previously known
expressions, give good values for total ADM and Bondi
quantities in the appropriate limits and connect with recent
work on quasilocal quantities and black hole thermodynamics.
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