Self force via a Green's function decomposition
By S. Detweiler, B. Whiting. 2002
252 citations recorded by the source corpus.
The gravitational field of a particle of small mass \mu moving through curved spacetime is naturally decomposed into two parts each of which satisfies the perturbed Einstein equations through O(\mu). One part is an inhomogeneous field which, near the particle, looks like the \mu/r field distorted by the local Riemann tensor; it does not depend on the behavior of the source in either the infinite past or future. The other part is a homogeneous field and includes the ``tail term''; it completely determines the self force effects of the particle interacting with its own gravitational field, including radiation reaction. Self force effects for scalar, electromagnetic and gravitational fields are all described in this manner.
Subfields: Astronomy and Astrophysics
View Paper: https://www.semanticscholar.org/paper/284409ce9a279397ef64e4af3fba5dfa2c4c99c7
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In Astronomy and Astrophysics
Citations in the corpus
- Black hole perturbation theory and gravitational self-force (2021, methodology): “This type of division of the local solution into hμν and h R μν was first emphasized by Detweiler and Whiting at first order in ε [46, 49].”
- The Motion of Point Particles in Curved Spacetime (2004, methodology): “Whiting [53].”
- The Motion of Point Particles in Curved Spacetime (2003, methodology): “The first type of derivation was outlined previously: We follow Detweiler and Whiting [53] and postulate that only the regular field exerts a force on the particle.”