Green's functions for a static charge in a weakly-curved spacetime

Authors

Karl Simon Revelar ⋅ PH National Institute of Physics, University of the Philippines Diliman
Michael Francis Ian G Vega, II ⋅ PH National Institute of Physics, University of the Philippines Diliman

Abstract

We present our calculation of the Green's function for a static scalar and electric charge in a weakly-curved spacetime. We find that to leading order the scalar Green's function reduces to the Green's function for the Poisson equation in Euclidean space. We also calculate the next order correction in the scalar Green's function. We also present the recurrence relation for the Green's function of static electric charge. The calculations that we present here are needed to modernize the self-force expressions in a weakly-curved spacetime.

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Issue

2018: Proceedings of the 36th Samahang Pisika ng Pilipinas Physics Conference

Article ID

SPP-2018-PB-43

Section

Poster Session B (Complex Systems, Simulations, and Theoretical Physics)

Published

2018-05-29

How to Cite

[1]

KS Revelar and MFIG Vega, Green’s functions for a static charge in a weakly-curved spacetime, Proceedings of the Samahang Pisika ng Pilipinas 36, SPP-2018-PB-43 (2018). URL: https://proceedings.spp-online.org/article/view/SPP-2018-PB-43.