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arXiv · 0905.1493

Examining the Field of Static Point Scalar Charge in Schwarzschild Spacetime

Swapnil Tripathi
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Abstract

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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Swapnil Tripathi. 2009-05-17. Examining the Field of Static Point Scalar Charge in Schwarzschild Spacetime. https://arxiv.org/abs/0905.1493

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