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Examining the Field of Static Point Scalar Charge in Schwarzschild Spacetime

2009/05/10 by Swapnil Tripathi, Tripathi, Swapnil
Engineering · Physics and Astronomy · #Astrophysical Phenomena and Observations #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geophysics and Sensor Technology #Relativity and Gravitational Theory

paper · pdf · doi:10.48550/arxiv.0905.1493

openalex publication_date 2009/05/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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