Examining the Field of Static Point Scalar Charge in Schwarzschild Spacetime

Details Examining the Field of Static Point Scalar Charge in Schwarzschild Spacetime Examining the Field of Static Point Scalar Charge in Schwarzschild Spacetime

2009-05-10

arxiv.org/abs/0905.1493v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, 2 figures, modified title, corrected typos, added references

Scientific paper

In this paper we examine some aspects of the field of a scalar point charge in curved spacetimes. First we find the closed form solution for the scalar field due to a point charge in Schwarzschild spacetime. Then we expand it locally in powers of r (coordinate distance from the charge) and compare it to Quinn's local expansion for the field of scalar charge. We show a term by term match, except for a mismatch in one term arising due to an error in a Riemann tensor term in Quinn's expression. We show the correct expression, the detailed derivation of which will be subject of a later paper.

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