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Bowen-York model solution redux
Date
2021-04-01
Author
Altas, Emel
Tekin, Bayram
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Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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Initial value problem in general relativity is often solved numerically; with only a few exceptions one of which is the "model" solution of Bowen and York where an analytical form of the solution is available. The solution describes a dynamical, time-asymmetric, gravitating system with mass and linear momentum. Here we revisit this solution and correct an error which turns out to be important for identifying the energy-content of the solution. Depending on the linear momentum, the ratio of the non-stationary part of the initial energy to the total ADM energy takes values between [0, 0.592). This non-stationary part is expected to be turned into gravitational waves during the evolution of the system to possibly settle down to a black hole with mass and linear momentum. In the ultra-relativistic case (the high momentum limit), the maximum amount of gravitational wave energy is 59.2% of the total ADM energy. We also give a detailed account of the general solution of the Hamiltonian constraint.
URI
https://hdl.handle.net/11511/90738
Journal
EUROPEAN PHYSICAL JOURNAL C
DOI
https://doi.org/10.1140/epjc/s10052-021-09139-z
Collections
Department of Physics, Article
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E. Altas and B. Tekin, “Bowen-York model solution redux,”
EUROPEAN PHYSICAL JOURNAL C
, pp. 0–0, 2021, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/90738.