Geodesic
Electromagnetic Casimir densities for a plate in anti-De Sitter spacetime
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2016), pp. 37-41.

Voir la notice de l'article provenant de la source Math-Net.Ru

We investigate the vacuum expectation values (VEV) of the electric field squared and of the energy-momentum tensor for the electromagnetic field in anti-de Sitter (AdS) spacetime induced by a plate parallel to the AdS boundary. On the plate, the field obeys the boundary condition that generalizes the perfect conductor boundary condition for an arbitrary number of spatial dimensions. We show that the plate-induced contributions in the VEV of the electric field squared and the vacuum energy density are negative, whereas the normal stress is positive. The VEV vanish on the AdS boundary.
Keywords: anti-de Sitter space, quantum vacuum.
Mots-clés : Casimir effect 
@article{UZERU_2016_3_a6,
     author = {A. A. Saharian and A. S. Kotanjyan and A. A. Saharyan},
     title = {Electromagnetic {Casimir} densities for a plate in {anti-De} {Sitter} spacetime},
     journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences},
     pages = {37--41},
     publisher = {mathdoc},
     number = {3},
     year = {2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/UZERU_2016_3_a6/}
}
TY  - JOUR
AU  - A. A. Saharian
AU  - A. S. Kotanjyan
AU  - A. A. Saharyan
TI  - Electromagnetic Casimir densities for a plate in anti-De Sitter spacetime
JO  - Proceedings of the Yerevan State University. Physical and mathematical sciences
PY  - 2016
SP  - 37
EP  - 41
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/UZERU_2016_3_a6/
LA  - en
ID  - UZERU_2016_3_a6
ER  - 
%0 Journal Article
%A A. A. Saharian
%A A. S. Kotanjyan
%A A. A. Saharyan
%T Electromagnetic Casimir densities for a plate in anti-De Sitter spacetime
%J Proceedings of the Yerevan State University. Physical and mathematical sciences
%D 2016
%P 37-41
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/UZERU_2016_3_a6/
%G en
%F UZERU_2016_3_a6
A. A. Saharian; A. S. Kotanjyan; A. A. Saharyan. Electromagnetic Casimir densities for a plate in anti-De Sitter spacetime. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2016), pp. 37-41. http://geodesic.mathdoc.fr/item/UZERU_2016_3_a6/

[1] O. Aharony, S.S. Gubser, J. Maldacena, H. Ooguri, Y. Oz, “Large N Field Theories, String Theory and Gravity”, Phys. Rep., 323 (2000), 183–386 | DOI | MR

[2] R. Maartens, K. Koyama, “Brane-World Gravity”, Living Rev. Relativity, 13:5 (2010), 1–124

[3] M. Bordag, G.L. Klimchitskaya, U. Mohideen, V.M. Mostepanenko, Advances in the Casimir Effect, Oxford University Press, Oxford, 2009, 768 pp.

[4] B. Allen, T. Jacobson, “Vector Two-Point Functions in Maximally Symmetric Spaces”, Commun. Math. Phys., 103:4 (1986), 669–692 | DOI | MR

[5] A.A. Saharian, A.S. Kotanjyan, H.A. Nersisyan, “Electromagnetic Two-Point Functions and Casimir Densities for a Conducting Plate in de Sitter Spacetime”, Phys. Lett. B, 728 (2014), 141–147 | DOI

[6] A.S. Kotanjyan, A.A. Saharian, H.A. Nersisyan, “Electromagnetic Casimir Effect for Conducting Plates in de Sitter Spacetime”, Phys. Scr., 90 (2015), 65304 | DOI

[7] S. Bellucci, A.A. Saharian, “Electromagnetic Two-Point Functions and the Casimir Effect in Friedmann–Roberston–Walker Cosmologies”, Phys. Rev. D, 88 (2013), 64034 | DOI

[8] A.S. Kotanjyan, A.A. Saharian, H.G. Sargsyan, D.H. Simonyan, “Quantum Effects in Antide Sitter Spacetime for the Electromagnetic Field”, Proceedings of Science, PoS, 21 (2015), 1–13

[9] A.A. Saharian, The Generalized Abel–Plana Formula with Applications to Bessel Functions and Casimir Effect, YSU Press, Yer., 2008, 138 pp.