扩展广义相对论的刚性
Extending the rigidity of general relativity
摘要:
我们给出了迄今为止最一般的条件,导致唯一性的广义相对论哈密顿量。也就是说,我们表明,所有的标量约束的扩展标准的,而保持二次的动量的空间协变的推广是第二类。与以前的调查沿着这些路线,我们不需要一个特定的泊松括号代数,二次依赖的动量是完全一般的,与任意的本地运营商作为动力学项。
英文摘要:
We give the most general conditions to date which lead to uniqueness of the general relativistic Hamiltonian. Namely, we show that all spatially covariant generalizations of the scalar constraint which extend the standard one while remaining quadratic in the momenta are second class. Unlike previous investigations along these lines, we do not require a specific Poisson bracket algebra, and the quadratic dependence on the momenta is completely general, with an arbitrary local operator as the kinetic term.
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