Analytic approximations, perturbation theory, effective field theory methods and their applications

Abstract

We summarize the parallel session B4: 'Analytic approximations, perturbation theory effective field theory methods and their applications' and the joint session B2/B4: 'Approximate solutions to Einstein equations: Methods and Applications', of the GR20 & Amaldi10 conference in Warsaw, July 2013. The contributed talks reported significant advances on various areas of research in gravity.

15 pages. Contribution to the Proceedings of GR20 - Amaldi10

References in corpus (22)

• Constraining neutron star tidal Love numbers with gravitational wave detectors
• Relativistic theory of tidal Love numbers
• Effective-one-body model for black-hole binaries with generic mass ratios and spins
• Higher-order spin effects in the dynamics of compact binaries I. Equations of motion
• Are black holes in alternative theories serious astrophysical candidates? The case for Einstein-Dilaton-Gauss-Bonnet black holes
• Test bodies and naked singularities: is the self-force the cosmic censor?
• Hamiltonian of two spinning compact bodies with next-to-leading order gravitational spin-orbit coupling
• High-Order Post-Newtonian Fit of the Gravitational Self-Force for Circular Orbits in the Schwarzschild Geometry
• The Hyperfine Einstein-Infeld-Hoffmann Potential
• Next-to-leading order gravitational spin-orbit coupling in an effective field theory approach
• Relativistic Closed-Form Hamiltonian for Many-Body Gravitating Systems in the Post-Minkowskian Approximation
• The dynamics of the gravitational two-body problem at fourth post-Newtonian order and at quadratic order in the Newton constant
• Spin induced multipole moments for the gravitational wave flux from binary inspirals to third Post-Newtonian order
• High-order post-Newtonian contributions to the two-body gravitational interaction potential from analytical gravitational self-force calculations
• Gravitational perturbation of the BTZ black hole induced by test particles and weak cosmic censorship in AdS spacetime
• Finding high-order analytic post-Newtonian parameters from a high-precision numerical self-force calculation
• Reduced Hamiltonian for next-to-leading order Spin-Squared Dynamics of General Compact Binaries
• Self-force on extreme mass ratio inspirals via curved spacetime effective field theory
• AdS/Ricci-flat correspondence and the Gregory-Laflamme instability
• Half-integral conservative post-Newtonian approximations in the redshift factor of black hole binaries
• The general relativistic two body problem
• Approximation Method for the Relaxed Covariant Form of the Gravitational Field Equations for Particles

Cited by in corpus (13)

• The Effective Field Theorist's Approach to Gravitational Dynamics
• Probing Ultralight Bosons with Binary Black Holes
• Post-Minkowskian Effective Field Theory for Conservative Binary Dynamics
• Conservative Dynamics of Binary Systems to Third Post-Minkowskian Order from the Effective Field Theory Approach
• Conservative dynamics of binary systems to fourth Post-Newtonian order in the EFT approach II: Renormalized Lagrangian
• Conservative dynamics of binary systems to fourth Post-Newtonian order in the EFT approach I: Regularized Lagrangian
• Conservative Tidal Effects in Compact Binary Systems to Next-to-Leading Post-Minkowskian Order
• The Tune of Love and the Nature(ness) of Spacetime
• On the Apparent Ambiguities in the Post-Newtonian Expansion for Binary Systems
• Radiation reaction for spinning bodies in effective field theory II: Spin-spin effects
• Radiation reaction for spinning bodies in effective field theory I: Spin-orbit effects
• From Boundary Data to Bound States III: Radiative Effects
• The Lamb shift and the gravitational binding energy for binary black holes