Gravitational radiation-reaction in arbitrary dimension

We use effective field theory tools to study nonconservative effects in the gravitational two-body problem in general spacetime dimension. Using the classical version of the Closed Time Path formalism, we treat both the radiative gravitational field and its dynamical sources within a single action principle. New results include the radiation-reaction effective action in arbitrary dimensions to leading and $+1\mathrm{PN}$ orders, as well as the generalized quadrupole formula to order $+1\mathrm{PN}$.

Figure 1

The two relevant zones: The system zone is on the left, with a typical stationary-like field configuration. The radiation zone with its typical outspiraling waves is on the right.

Figure 2

Correction to the radiation reaction due to nonlinear interaction in the radiation zone.