Alexandre Le Tiec

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Alexandre Le Tiec,1 Alessandra Buonanno,1 Abdul H. Mroué,2 Harald P. Pfeiffer,2, 3 Daniel A. Hemberger,4, 5 Geoffrey Lovelace,6, 4 Lawrence E. Kidder,5 Mark A. Scheel,4 Bela Szilágyi,4 Nicholas W. Taylor,4 and Saul A. Teukolsky5 1Maryland Center for Fundamental Physics & Joint Space-Science Institute, Department of Physics, University of Maryland, College(More)
For a self-gravitating particle of mass μ in orbit around a Kerr black hole of mass M ≫ μ, we compute the O(μ/M) shift in the frequency of the innermost stable circular equatorial orbit due to the conservative piece of the gravitational self-force acting on the particle. Our treatment is based on a Hamiltonian formulation of the dynamics in terms of(More)
Using the first law of binary black-hole mechanics, we compute the binding energy E and total angular momentum J of two nonspinning compact objects moving on circular orbits with frequency Ω, at leading order beyond the test-particle approximation. By minimizing E(Ω) we recover the exact frequency shift of the Schwarzschild innermost stable circular orbit(More)
Sam R. Dolan,1, ∗ Niels Warburton,2 Abraham I. Harte,3 Alexandre Le Tiec,4, 5 Barry Wardell,2, 6 and Leor Barack7 1Consortium for Fundamental Physics, School of Mathematics and Statistics, University of Sheffield, Hicks Building, Hounsfield Road, Sheffield S3 7RH, United Kingdom. 2School of Mathematical Sciences and Complex & Adaptive Systems Laboratory,(More)
The general relativistic (Mercury-type) periastron advance is calculated here for the first time with exquisite precision in full general relativity. We use accurate numerical relativity simulations of spinless black-hole binaries with mass ratios 1/8≤m(1)/m(2)≤1 and compare with the predictions of several analytic approximation schemes. We find the(More)
We use the canonical Hamiltonian formalism to generalize to spinning point particles the first law of mechanics established for binary systems of non-spinning point masses moving on circular orbits [Le Tiec, Blanchet, and Whiting, Phys. Rev. D 85, 064039 (2012)]. We find that the redshift observable of each particle is related in a very simple manner to the(More)
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