Introductory lectures on the Effective One Body formalism

Abstract

The Effective One Body (EOB) formalism is an analytical approach which aims at providing an accurate description of the motion and radiation of coalescing binary black holes. We present a brief review of the basic elements of this approach.

22 pages, 3 figures, lectures given at the Second ICRANet Stueckelberg Workshop on Relativistic Field Theories (Pescara, Italy, September 3-8, 2007); to be published in the International Journal of Modern Physics A

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• Bethe-Salpeter equation for classical gravitational bound states
• Angular Momentum Loss Due to Tidal Effects in the Post-Minkowskian Expansion
• Boundary to bound dictionary for generic Kerr orbits
• Gravitational Bound Waveforms from Amplitudes
• Comparing Hamiltonians of a spinning test particle for different tetrad fields
• Ineffectiveness of Padé resummation techniques in post-Newtonian approximations
• Post-Newtonian templates for gravitational waves from compact binary inspirals
• Post-Minkowskian Hamiltonians in Modified Theories of Gravity
• Off-equatorial stable circular orbits for spinning particles
• Covariant Equations of Motion of Extended Bodies with Arbitrary Mass and Spin Multipoles
• Is motion under the conservative self-force in black hole spacetimes an integrable Hamiltonian system?
• Charged test-particle scattering and effective one-body metrics with spin
• Energy flux and waveforms by coalescing spinless binary system in effective one-body theory
• Gravitational-wave searches in the era of Advanced LIGO and Virgo
• On the occurrence of gauge-dependent secularities in nonlinear gravitational waves
• Testing black hole metrics with binary black hole inspirals
• Learning Post-Newtonian Corrections from Numerical Relativity
• Testing gravity with the two-body problem