Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2003-08-12
Phys.Rev.D69:064039,2004; Erratum-ibid.D75:129901,2007
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
17 pages, Physical Review D version along with the corrections given in the errata
Scientific paper
10.1103/PhysRevD.69.064039
An analytic method is given for deriving the part of the retarded Green's function v(x,x') that contributes to the tail term in the radiation reaction force felt by a particle coupled to a massless minimally coupled scalar field. The method gives an expansion of v(x,x') for small separations of the points x, x' valid for an arbitrary static spherically symmetric spacetime. It is obtained by using a WKB approximation for the Euclidean Green's function for the massless minimally coupled scalar field and is equivalent to the DeWitt-Schwinger expansion for v(x,x'). The first few terms in this expansion are displayed here for the case of Schwarzschild spacetime.
Anderson Paul R.
Hu Liang-Bin
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