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首页> 外文期刊>European Physical Journal Plus >Reduction of a family of metric gravities: With highlights on conservation laws in metric formulations, consistency before dynamics, and a fresh view on the unity of Newtonian and Einsteinian gravity
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Reduction of a family of metric gravities: With highlights on conservation laws in metric formulations, consistency before dynamics, and a fresh view on the unity of Newtonian and Einsteinian gravity

机译：减少了一系列公制重力：在公制制剂中的守恒法，动态前的一致性以及对牛顿和爱因斯坦的统一的新观点

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.A recent proposal by Shuler regarding a postulate-based derivation of a family of metrics describing the gravitational field outside a static spherically symmetric mass distribution is reviewed. All of Shuler's gravities agree with the Schwarzschild solution in the weak-field limit, but they differ in the strong-field domain, i.e., close enough to a sufficiently compact source of the field. It is found that the evoked postulates of i) momentum conservation and ii) consistency of field strength measurement are satisfied in all metric theories of gravity compatible with the Einstein equivalence principle, no matter what the form of the metric. Therefore, they cannot be used, within any correct deduction, to derive a particular metric. Shuler's derivations are based on an inconsistent set of correspondences between local and distant measurements. Furthermore, it is shown here that out of the family of possible metrics given by Shuler only one member, the Schwarzschild metric, satisfies a standard relativistic generalization of Newton's law of gravitation, suggesting the others to be unphysical.
机译：。通过囚犯对描述在静态球形对称分布外的重力场的一系列指标的基于假期的基于假期的基于假期的提议。所有盗版的重力都同意施瓦茨柴尔德解决方案的弱场限制，但它们在强外场域中不同，即足够紧凑的领域。结果发现，I）动量保守和II）现场强度测量的一致性在所有公制的重力理论与爱因斯坦当量原则上兼容，无论是指度的形式。因此，不能在任何正确的扣除中使用它们来得出特定的指标。盗版的派生基于本地和远程测量之间的不一致的对应关系。此外，这里示出了，从跳闸的可能度量的家庭中，Schwarzschild度量的一个成员，满足了牛顿的重力定律的标准相对论概括，表明其他人是不受神经的。

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