A rigorous derivation of gravitational self-force

DOI10.1088/0264-9381/25/20/205009zbMath1152.83405arXiv0806.3293OpenAlexW3102358190MaRDI QIDQ5900436

Robert M. Wald, Samuel E. Gralla

Publication date: 13 November 2008

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0806.3293

Mathematics Subject Classification ID

Geometrodynamics and the holographic principle (83E05) Gravitational energy and conservation laws; groups of motions (83C40)

Related Items

A geodesic principle for strong coupling gravity ⋮ Consistent Blandford-Znajek expansion ⋮ Essentials of blackfold dynamics ⋮ Scattering amplitudes for self-force ⋮ A gluing construction regarding point particles in general relativity ⋮ Transition of EMRIs through resonance: Corrections to higher order in the on-resonance flux modification ⋮ Proving the principle: taking geodesic dynamics too seriously in Einstein's theory ⋮ Dilaton mass formulas in a hairy binary black hole model ⋮ Introduction to Gravitational Self-Force ⋮ Derivation of Gravitational Self-Force ⋮ Constructing the Self-Force ⋮ Computational Methods for the Self-Force in Black Hole Spacetimes ⋮ High-Accuracy Comparison Between the Post-Newtonian and Self-Force Dynamics of Black-Hole Binaries ⋮ Free Fall and Self-Force: an Historical Perspective ⋮ Extracting geometry from quantum spacetime. Obstacles down the road ⋮ Creating a traversable wormhole ⋮ SCALAR MODULI, WALL CROSSING AND PHENOMENOLOGICAL PREDICTIONS ⋮ Weak second Bianchi identity for static, spherically symmetric spacetimes with timelike singularities ⋮ 5-dimensional braneworld with gravitating Nambu-Goto matching conditions ⋮ The overlap of numerical relativity, perturbation theory and post-Newtonian theory in the binary black hole problem ⋮ Gravitational radiation from post-Newtonian sources and inspiralling compact binaries ⋮ The motion of point particles in curved spacetime ⋮ Analytic approximations in GR and gravitational waves ⋮ Particle-without-particle: a practical pseudospectral collocation method for linear partial differential equations with distributional sources ⋮ Gauge dependence and self-force from Galilean to Einsteinian free fall, compact stars falling into black holes, Hawking radiation and the Pisa tower at the general relativity centennial ⋮ On the ambiguity in relativistic tidal deformability ⋮ Accelerated motion and the self-force in Schwarzschild spacetime ⋮ The radial action from probe amplitudes to all orders