Abstract
iopas120323 2 / 36 ● The Hamiltonian for interacting classical fields with quite general theories of dynamic geometry generates the evolution of a spatial region along a time-like vector field. ● It includes a boundary term which determines the value of the Hamiltonian. From this value one obtains the quasi-local quantities: energy-momentum, angular-momentum/center-of-mass. ● The Hamiltonian boundary term also directly controls the boundary term in the variation of the Hamiltonian. From the latter one obtains the associated built in boundary conditions and an expression for energy flux. ● Here we extend our preferred boundary term choice for Einstein’s GR (which we had identified in 2005) to select a unique boundary term expression for any dynamic geometry gravity theory along with interacting classical fields.
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