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Calculation of the first nonlinear contribution to the general-relativistic spin-spin interaction for binary systems
Rafael A Porto1, Ira Z Rothstein
1Department of Physics, Carnegie Mellon University, Pittsburgh, Pennsylvania 15213, USA.
Physical Review Letters
|August 16, 2006
Summary
We calculated the third order post-Newtonian correction to the spin-spin potential for spinning objects. This finding is crucial for upcoming gravitational wave experiments, accounting for general relativity
Area of Science:
- Gravitational physics
- General relativity
- Astrophysical dynamics
Background:
- Understanding gravitational interactions between massive, spinning bodies is essential for precise astrophysical predictions.
- Previous calculations have not fully accounted for higher-order relativistic effects on spin-spin interactions.
Purpose of the Study:
- To calculate the third order post-Newtonian correction to the spin-spin potential between two spinning objects.
- To incorporate nonlinear effects of general relativity into the spin-spin interaction.
Main Methods:
- Utilized recently developed effective field theory techniques.
- Performed calculations at the third order post-Newtonian level.
Main Results:
- Derived the third order post-Newtonian correction to the spin-spin potential.
- Identified this correction as the first contribution arising from the nonlinear nature of general relativity.
Conclusions:
- The calculated correction is vital for future gravitational wave experiments.
- This work advances the theoretical understanding of relativistic spin-spin interactions.
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