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Observer dependence of angular momentum in general relativity and its relationship to the gravitational-wave memory effect

Observer dependence of angular momentum in general relativity and its relationship to the gravitational-wave memory effect

We define a procedure by which observers can measure a type of special-relativistic linear and angular momentum $({P}^{a},{J}^{ab})$ at a point in a curved spacetime using only the spacetime geometry in a neighborhood of that point. The method is chosen to yield the conventional results in stationary spacetimes near future …