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ES2 - Theoretical Issues in GR

Speaker

Spirin, Pavel

Coauthors

Yuri V. Grats

Talk Title

Smith-Will Force in Higher Dimensions

Abstract

We compute the self-energy of a static classical point-like charge (coupled with scalar or vector field), localized at the distance $r\gg r_g$ outside the horizon of higher-dimensional Schwarzschild-Tangherlini black hole. We use the perturbation theory and obtain first orders for the electrostatic energy and corresponding self-force. For the computation we apply the dimensional-regularization technique, well-known in the quantum theory, where the formal expression for self-energy diverges. In the lowest-dimensional cases the results are compared with known ones in the literature. The difference between the odd and even dimensionalities with respect to the charged particles is discussed as well.

Talk view

ES2-711SP658EL.pdf

 

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