2009

Elementary development of the gravitational self-force

Detweiler, Steven

Understand

The gravitational field of a particle of small mass $\mu$ moving through curved spacetime, with metric $g_{ab}$, is naturally and easily decomposed into two parts each of which satisfies the perturbed Einstein equations through $O(\mu)$.

One part is an inhomogeneous field $h^S_{ab}$ which, near the particle, looks like the Coulomb $\mu/r$ field with tidal distortion from the local Riemann tensor.
This singular field is defined in a neighborhood of the small particle and does not depend upon boundary conditions or upon the behavior of the source in either the past or the future.
The other part is a homogeneous field $h^R_{ab}$.

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Closest in time.
I. Vega, P. Diener, W. Tichy, and S. Detweiler, arXiv:0908.2138v1, Phys. Rev., submitted, (2009)
Original
2009
Closest in time.

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