Black Holes and Other Astrophysical ObjectsOpen Access

VACUUM POLARIZATION IN A COSMIC STRING SPACETIME INDUCED BY FLAT BOUNDARY

EUGÊNIO R. BEZERRA DE MELLO

Departamento de Física-CCEN, Universidade Federal da Paraíba, J. Pessoa, PB, 58.059-970, Brazil

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and

ARAM A. SAHARIAN

Department of Physics, Yerevan State University, 1 Alex Manoogian Street, 0025 Yerevan, Armenia

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https://doi.org/10.1142/S201019451100095XCited by:1 (Source: Crossref)

Abstract

In this paper we analyze the vacuum expectation values of the field squared and the energy-momentum tensor associated to a massive scalar field in a higher dimensional cosmic string spacetime, obeying Dirichlet or Neumann boundary conditions on the surface orthogonal to the string.

Keywords:

PACS: 98.80.Cq, 11.10.Gh, 11.27.+d

References

T. W. Kibble, J. Phys. A 9, 1387 (1976). Crossref, ADS, Google Scholar
A. Vilenkin and E. P. S. Shellard , Cosmic Strings and Other Topological Defects ( Cambridge University Press , Cambridge , 1994 ) . Google Scholar
A. A. Starobinsky, Quantum effects in cosmology and black-and-white hole physics, Proc. of the First Marcel Grossman meeting on General Relativity, ed. R. Ruffini (North-Holland Publ. Co., Amsterdam, 1977) p. 499. Google Scholar
B. Linet, Phys. Rev. D 35, 536 (1987). Crossref, ADS, Google Scholar
A. G. Smith , Symposium on the Formation and Evolution of Cosmic String , eds. G. W. Gibbons , S. W. Hawking and T. Vachaspati ( Cambridge University Press , Cambridge , 1989 ) . Google Scholar
P. C. Davies and V. Sahni, Class. Quantum Grav. 5, 1 (1987). Crossref, Google Scholar
T. Souradeep and V. Sahni, Phys. Rev. D 46, 1616 (1992). Crossref, ADS, Google Scholar
M. E. X. Guimarães and B. Linet, Class. Quant. Grav. 10, 1665 (1993). Crossref, Google Scholar
V. P. Frolov and E. M. Serebriany, Phys. Rev. D 15, 3779 (1287). Google Scholar
B. Linet, J. Math. Phys. 36, 3694 (1995). Crossref, ADS, Google Scholar
E. S. Moreira Jr., Nucl. Phys. B 451, 365 (1995). Crossref, Google Scholar
V. B. Bezerra and N. R. Khusnutdinov, Class. Quant. Grav. 23, 3449 (2006). Crossref, Google Scholar
V. M. Mostepanenko and N. N. Trunov, The Casimir Effect and Its Applications (Clarendon, Oxford, 1997); M. Bordag, G. L. Klimchitskaya, U. Mohidden and V. M. Mostepanenko, Advances in the Casimir Effect (Oxford University Press, Oxford, 2009) . Google Scholar
E. R. Bezerra de Melloet al., Phys. Rev. D 74, 025017 (2006). Crossref, Google Scholar
I. Brevik and T. Toverud, Class. Quant. Grav. 12, 1229 (1995); E. R. Bezerra de Mello, V. B. Bezerra and A. A. Saharian, Phys. Lett. B 645, 245 (2007) . Google Scholar
E. R. Bezerra de Melloet al., Phys. Rev. D 78, 105007 (2008). Crossref, Google Scholar
E. R. Bezerra de Mello, V. B. Bezerra, A. A. Saharian and V. M. Bardeghyan, Phys. Rev. D 82, 085033 (2010); S. Bellucci, E. R. Bezerra de Mello and A. A. Saharian, Phys. Rev. D 83, 085017 (2011) . Google Scholar
I. S. Gradshteyn and I. M. Ryzhik , Table of Integrals, Series and Products ( Academic Press , New York , 1980 ) . Google Scholar
A. P. Prudnikov , Yu. A. Brychkov and O. I. Marichev , Integrals and Series 2 ( Gordon and Breach , New York , 1986 ) . Google Scholar
J. Spinelly and E. R. Bezerra de Mello, JHEP 09, 005 (2008). ADS, Google Scholar
E. R. Bezerra de Mello and A. A. Saharian, Class. Quantum Grav. 28, 145008 (2011). Crossref, Google Scholar