Gravitational Waves and 2.5 PN Gravitational Wave Memory

Uçanok, Onur
Since the discovery of general relativity, the Einstein field equations have explainedmany phenomenon (e.g. precession of orbits) and predicted others (e.g. gravitational lensing, gravitational time dilation and black holes). Among its many predictions,the wave-like nature of the linearized theory has garnered a lot of attention due to the possiblity of gravitational wave propagation; their effects, their observability andthe complicated nature of gravitational radiation. Many scientists (that can be found in references) have worked on ways to approach the non-linear limit of this theorythrough methods such as post-Newtonian (PN) expansion and post-Monkowskian expansion. From these methods, one can find that for weakly self-gravitating object,we can approximate the production of waves up to corrections of O(v/c)n. Thesecorrections also predicts observable gravitational corrections in the far zone called“memory effect”. This effect corresponds to a permanent change in the metric after the wave has long passed the observer. In this thesis, I will go through the processof deriving these intriguing predictions which are soon to be put to the test by freefall interferometers (e.g. LISA and DECIGO) or matter-wave interferometers (e.g.MIGA).


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Citation Formats
O. Uçanok, “Gravitational Waves and 2.5 PN Gravitational Wave Memory,” M.S. - Master of Science, Middle East Technical University, 2020.