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arXiv · 2312.17563

Energy transfer in the collision of two scalar wave packets in spherical symmetry

Li-Jie Xin·Jun-Qi Guo·Cheng-Gang Shao
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Abstract

We study the collisions of two scalar wave packets in the asymptotically flat spacetime and asymptotically anti-de Sitter spacetime in spherical symmetry. An energy transfer formula is obtained, $y=Cm_{i}m_{o}/r$, where $y$ is the transferred energy in the collisions of the two wave packets, $m_i$ and $m_o$ are the Misner-Sharp energies for the ingoing and outgoing wave packets, respectively, $r$ is the areal radius and collision place, and $C=1.873$ and $C=1.875$ for the asymptotically flat spacetime and asymptotically anti-de Sitter spacetime circumstances, respectively. The formula is universal, independent of the initial profiles of the scalar fields.

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Li-Jie Xin, Jun-Qi Guo, Cheng-Gang Shao. 2023-12-29. Energy transfer in the collision of two scalar wave packets in spherical symmetry. https://doi.org/10.1103/physrevd.108.124071

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