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Herrera, Y.; Hurovich, V.; Santillán, O.; Simeone, C. "Aspects of electrostatics in BTZ geometries" (2015) Physical Review D - Particles, Fields, Gravitation and Cosmology. 92(8)
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Abstract:

In the present paper the electrostatics of charges in nonrotating BTZ black hole and wormhole spacetimes is studied. Our attention is focused on the self-force of a point charge in the geometry, for which a regularization prescription based on the Haddamard Green function is employed. The differences between the self-force in both cases is a theoretical experiment for distinguishing both geometries, which otherwise are locally indistinguishable. This idea was applied before to four and higher-dimensional black holes by the present and other authors. However, the particularities of the BTZ geometry makes the analysis considerable more complicated than those. First, the BTZ spacetimes are not asymptotically flat but instead asymptotically AdS. In addition, the relative distance d(r,r+1) between two particles located at a radius r and r+1 in the geometry tends to zero when r. This behavior, which is radically different in a flat geometry, changes the analysis of the asymptotic conditions for the electrostatic field. The other problem is that there exist several regularization methods other than the one we are employing, and there does not exist a proof in three dimensions that they are equivalent. However, we focus on the Haddamard method and obtain an expression for the hypothetical self-force in series, and the resulting expansion is convergent to the real solution. We suspect that the convergence is not uniform, and furthermore there are no summation formulas at our disposal. It appears, for points that are far away from the black hole the calculation of the Haddamard self-force requires higher-order summation. These subtleties are carefully analyzed in the paper, and it is shown that they lead to severe problems when calculating the Haddamard self-force for asymptotic points in the geometry. © 2015 American Physical Society.

Registro:

Documento: Artículo
Título:Aspects of electrostatics in BTZ geometries
Autor:Herrera, Y.; Hurovich, V.; Santillán, O.; Simeone, C.
Filiación:Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, IFIBA, CONICET, Cuidad Universitaria, Buenos Aires, 1428, Argentina
CONICET, Instituto de Investigaciones Matemáticas Luis Santaló, Ciudad Universitaria Pab. i, Buenos Aires, 1428, Argentina
Año:2015
Volumen:92
Número:8
DOI: http://dx.doi.org/10.1103/PhysRevD.92.085042
Título revista:Physical Review D - Particles, Fields, Gravitation and Cosmology
Título revista abreviado:Phys Rev D Part Fields Gravit Cosmol
ISSN:15507998
CODEN:PRVDA
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15507998_v92_n8_p_Herrera

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Citas:

---------- APA ----------
Herrera, Y., Hurovich, V., Santillán, O. & Simeone, C. (2015) . Aspects of electrostatics in BTZ geometries. Physical Review D - Particles, Fields, Gravitation and Cosmology, 92(8).
http://dx.doi.org/10.1103/PhysRevD.92.085042
---------- CHICAGO ----------
Herrera, Y., Hurovich, V., Santillán, O., Simeone, C. "Aspects of electrostatics in BTZ geometries" . Physical Review D - Particles, Fields, Gravitation and Cosmology 92, no. 8 (2015).
http://dx.doi.org/10.1103/PhysRevD.92.085042
---------- MLA ----------
Herrera, Y., Hurovich, V., Santillán, O., Simeone, C. "Aspects of electrostatics in BTZ geometries" . Physical Review D - Particles, Fields, Gravitation and Cosmology, vol. 92, no. 8, 2015.
http://dx.doi.org/10.1103/PhysRevD.92.085042
---------- VANCOUVER ----------
Herrera, Y., Hurovich, V., Santillán, O., Simeone, C. Aspects of electrostatics in BTZ geometries. Phys Rev D Part Fields Gravit Cosmol. 2015;92(8).
http://dx.doi.org/10.1103/PhysRevD.92.085042