Journal
PHYSICAL REVIEW LETTERS
Volume 102, Issue 19, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.102.191101
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Funding
- PPARC/STFC [PP/D001110/1]
- Monbukagaku-sho
- STFC [PP/E001025/1] Funding Source: UKRI
- Science and Technology Facilities Council [PP/E001025/1] Funding Source: researchfish
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The innermost stable circular orbit (ISCO) of a test particle around a Schwarzschild black hole of mass M has (areal) radius r(isco)=6MG/c(2). If the particle is endowed with mass mu(< M), it experiences a gravitational self-force whose conservative piece alters the location of the ISCO. Here we calculate the resulting shifts Delta r(isco) and Delta Omega(isco) in the ISCO's radius and frequency, at leading order in the mass ratio mu/M. We obtain, in the Lorenz gauge, Delta r(isco)=-3.269(+/- 0.003)mu G/c(2) and Delta Omega(isco)/Omega(isco)=0.4870(+/- 0.0006)mu/M. We discuss the implications of our result within the context of the extreme-mass-ratio binary inspiral problem.
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