Effect of a cylindrical thin-shell of matter on the electrostatic self-force on a charge

The electrostatic self-force on a point charge in cylindrical thin-shell space-times is interpreted as the sum of a bulk field and a shell field. The bulk part corresponds to a field sourced by the test charge placed in a space-time without the shell. The shell field accounts for the discontinuity o...

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Publicado: 2016
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14346044_v76_n2_p_RubindeCelis
http://hdl.handle.net/20.500.12110/paper_14346044_v76_n2_p_RubindeCelis
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_14346044_v76_n2_p_RubindeCelis
record_format dspace
spelling paper:paper_14346044_v76_n2_p_RubindeCelis2023-06-08T16:15:10Z Effect of a cylindrical thin-shell of matter on the electrostatic self-force on a charge The electrostatic self-force on a point charge in cylindrical thin-shell space-times is interpreted as the sum of a bulk field and a shell field. The bulk part corresponds to a field sourced by the test charge placed in a space-time without the shell. The shell field accounts for the discontinuity of the extrinsic curvature (Formula presented.). An equivalent electric problem is stated, in which the effect of the shell of matter on the field is reconstructed with the electric potential produced by a non-gravitating charge distribution of total image charge Q, to interpret the shell field in both the interior and exterior regions of the space-time. The self-force on a point charge q in a locally flat geometry with a cylindrical thin-shell of matter is calculated. The charge is repelled from the shell if (Formula presented.) (ordinary matter) and attracted toward the shell if (Formula presented.) (exotic matter). The total image charge is zero for exterior problems, while for interior problems (Formula presented.) , with (Formula presented.) the external radius of the shell. The procedure is general and can be applied to interpret self-forces in other space-times with shells, e.g., for locally flat wormholes we found (Formula presented.). © 2016, The Author(s). 2016 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14346044_v76_n2_p_RubindeCelis http://hdl.handle.net/20.500.12110/paper_14346044_v76_n2_p_RubindeCelis
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description The electrostatic self-force on a point charge in cylindrical thin-shell space-times is interpreted as the sum of a bulk field and a shell field. The bulk part corresponds to a field sourced by the test charge placed in a space-time without the shell. The shell field accounts for the discontinuity of the extrinsic curvature (Formula presented.). An equivalent electric problem is stated, in which the effect of the shell of matter on the field is reconstructed with the electric potential produced by a non-gravitating charge distribution of total image charge Q, to interpret the shell field in both the interior and exterior regions of the space-time. The self-force on a point charge q in a locally flat geometry with a cylindrical thin-shell of matter is calculated. The charge is repelled from the shell if (Formula presented.) (ordinary matter) and attracted toward the shell if (Formula presented.) (exotic matter). The total image charge is zero for exterior problems, while for interior problems (Formula presented.) , with (Formula presented.) the external radius of the shell. The procedure is general and can be applied to interpret self-forces in other space-times with shells, e.g., for locally flat wormholes we found (Formula presented.). © 2016, The Author(s).
title Effect of a cylindrical thin-shell of matter on the electrostatic self-force on a charge
spellingShingle Effect of a cylindrical thin-shell of matter on the electrostatic self-force on a charge
title_short Effect of a cylindrical thin-shell of matter on the electrostatic self-force on a charge
title_full Effect of a cylindrical thin-shell of matter on the electrostatic self-force on a charge
title_fullStr Effect of a cylindrical thin-shell of matter on the electrostatic self-force on a charge
title_full_unstemmed Effect of a cylindrical thin-shell of matter on the electrostatic self-force on a charge
title_sort effect of a cylindrical thin-shell of matter on the electrostatic self-force on a charge
publishDate 2016
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14346044_v76_n2_p_RubindeCelis
http://hdl.handle.net/20.500.12110/paper_14346044_v76_n2_p_RubindeCelis
_version_ 1768543148663898112

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