Abstract
We show that the recently discovered logarithmic terms in the soft graviton theorem induce a late time component in the gravitational wave-form that falls off as inverse power of time, producing a tail term to the linear memory effect.
Highlights
One of the reasons for the recent interest in the softgraviton theorem is its connection to the memory effect [1,2,3,4]—the fact that a passing gravitational wave causes a permanent change in the distance between two detectors placed in its path [5,6,7,8]
We show that the recently discovered logarithmic terms in the soft-graviton theorem induce a late time component in the gravitational waveform that falls off as inverse power of time, producing a tail term to the linear memory effect
This connection usually proceeds via asymptotic symmetries [9,10,11] and has led to the prediction of a new kind of memory effect associated with the super-rotation symmetry [2]
Summary
One of the reasons for the recent interest in the softgraviton theorem is its connection to the memory effect [1,2,3,4]—the fact that a passing gravitational wave causes a permanent change in the distance between two detectors placed in its path [5,6,7,8]. We show that the recently discovered logarithmic terms in the soft-graviton theorem induce a late time component in the gravitational waveform that falls off as inverse power of time, producing a tail term to the linear memory effect.
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