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Gravitational Wave Memory In dS$_{4+2n}$ and 4D Cosmology · Around

2016

Gravitational Wave Memory In dS$_{4+2n}$ and 4D Cosmology

Chu, Yi-Zen

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We argue that massless gravitons in all even dimensional de Sitter (dS) spacetimes higher than two admit a linear memory effect arising from their propagation inside the null cone.

Assume that gravitational waves (GWs) are being generated by an isolated source, and over only a finite period of time.
Outside of this time interval, suppose the shear-stress of the GW source becomes negligible relative to its energy-momentum and its mass quadrupole moments settle to static values.
We then demonstrate, the transverse-traceless (TT) GW contribution to the perturbation of any dS$_{4+2n}$ written in a conformally flat form -- after the source has ceased and the primary GW train has passed -- amounts to a spacetime constant shift in the flat metric proportional to the difference between the TT parts of the source's final and initial mass quadrupole moments.

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Then

Y. Z. Chu, “Transverse traceless gravitational waves in a spatially flat FLRW universe: Causal structure from dimensional reduction,” Phys. Rev. D 92
Original
2015
Later among the works it cites.
A. Ashtekar, B. Bonga and A. Kesavan, “Asymptotics with a positive cosmological constant: III. The quadrupole formula,” Phys. Rev. D 92
Original
2015
Later among the works it cites.
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2015
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A. Strominger and A. Zhiboedov, “Gravitational Memory, BMS Supertranslations and Soft Theorems,” JHEP 1601
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