Quasilocal Quantities for Gravity Theories

• Main Authors: Chiang-Mei Chen, 陳江梅
• Other Authors: James M. Nester
• Format: Others
• Language: en_US
• Online Access: http://ndltd.ncl.edu.tw/handle/56176854044886622929

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.