Erratum: Radiation reaction in Schwarzschild spacetime: Retarded Green’s function via Hadamard-WKB expansion [Phys. Rev. D69, 064039 (2004)]

Radiation Reaction in Schwarzschild Spacetime: Retarded Green’s Function via Hadamard-WKB Expansion

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 usin...

Radiation Fields on Schwarzschild Spacetime

In this paper we define the radiation field for the wave equation on the Schwarzschild black hole spacetime. In this context it has two components: the rescaled restriction of the time derivative of a solution to null infinity and to the event horizon. In the process, we establish some regularity properties of solutions of the wave equation on the spacetime. In particular, we prove that the reg...

Unruh Radiation via WKB Method

Schwarzschild Spacetime without Coordinates

We discuss how to construct the full Schwarzschild (Kruskal-Szekeres) spacetime in one swoop by using the bundle of orthonormal Lorentz frames and the Einstein equation without the use of coordinates. We never have to write down the Kruskal-Szekeres or an equivalent form of the metric. email: [email protected]

Self-force on a scalar charge in radial infall from rest using the Hadamard-WKB expansion

We present an analytic method based on the Hadamard-WKB expansion to calculate the self-force for a particle with scalar charge falling radially from rest into a Schwarzschild black hole, in the case of short duration from the start. This is possible because under this circumstance the value of the integral of the retarded Green’s function over the particle’s past trajectory can be expressed in...