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arXiv · 1705.07694

Interaction between two gravitationally polarizable objects induced by thermal bath of gravitons

Puxun Wu·Jiawei Hu·Hongwei Yu
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Abstract

The quadrupole-quadrupole interaction between a pair of gravitationally polarizable objects induced by vacuum fluctuations of the quantum linearized gravitational field is first obtained with a relatively simple method, which is then used to investigate the contribution of thermal fluctuations of a bath of gravitons to the interaction at temperature $T$. Our result shows that, in the high temperature limit, the contribution of thermal fluctuations dominates over that of vacuum fluctuations and the interaction potential behaves like $T/ r^{10} $, where $r$ is the separation between the objects, and in the low temperature limit, the contribution of thermal fluctuations is proportional to $T^{10}/r$, which only provides a small correction to the interaction induced by zero-point fluctuations.

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Puxun Wu, Jiawei Hu, Hongwei Yu. 2017-05-22. Interaction between two gravitationally polarizable objects induced by thermal bath of gravitons. https://doi.org/10.1103/physrevd.95.104057

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