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Wave Maps in General Relativity,e usual wave equations for scalar functions on (., .). They are the counterpart in hyperbolic signature of the harmonic mappings between properly Riemannian manifolds. The first wave maps to be considered in physics were the .-models, e.g., the mapping from the Minkowski spacetime into the 3-sphere开玩笑 发表于 2025-3-30 15:38:13
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Taub Numbers and Asymptotic Invariants,ing symmetries. For each independent Killing vector of the background, Taub showed that there is a conservation law for the associated gravitational perturbations. Taub’s results are obtained from functional derivatives of the Hilbert action on a function space of Lorentz metrics.油膏 发表于 2025-3-31 11:22:38
Second-Class Constraints,rmulation, the simplification which results when the constraints can be solved for canonical pairs of variables is obtained. Finally, the case where all the constrained momenta vanish is treated. This case corresponds to the second-class constraints which arise in the canonical formulation of a fielMOAT 发表于 2025-3-31 13:34:25
,On the Structure of the Energy-Momentum and the Spin Currents in Dirac’s Electron Theory, respectively. Thereby we find for each of these currents a convective and a polarization piece. The polarization pieces can be expressed as exterior covariant derivatives of the 2-forms . and .. = −.., respectively. In analogy to the magnetic moment in electrodynamics, we identify these 2-forms asOsteoarthritis 发表于 2025-3-31 19:27:04
The Physical Reality of the Quantum Wave Function,, will ascribe very different quantum wave functions to that system. Nevertheless, both observers will agree on the statistical distribution of all observations performed upon the system. Thus the quantum state of the system does not appear to possess an invariant objective status. We conclude from粗糙 发表于 2025-3-31 23:55:16
ever, these models predict climate at a much coarser spatial resolution. Often many studies involve the assessment of climate change impacts at smaller scales, viz., a catchment area of a river or even point scales, viz., a gauging station. In order to use the output of a GCM for conducting hydrolog