Bounded region with closed time-like curves in T-dual pp-waves backgrounds

• Authors: Paweł Gusin
• Languages of publication: EN

Abstracts

EN

In the 10-dimensional pp-waves background we have found using T-duality a 4-dimensional space-time in which closed time-like curves appear in the region bounded by two coaxial elliptic cylinders. This 4-dimensional space-time is similar to the Gödel-type space-time only in this region. Outside of this region the causal pathology does not appear.

Keywords

EN

pp-waves; T-duality; Gödel-type metrics

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2012
• Volume: 10
• Issue: 4
• Pages: 836-845

Dates

published

1 - 8 - 2012

online

17 - 7 - 2012

Contributors

author

Paweł Gusin

• Institute of Theoretical Physics, University of Wroclaw, 50-204, Wroclaw, Plac Maxa Borna 9, Poland

References

• [1] T. Harmark, T. Takayanagi, Nucl. Phys. B 662, 3 (2003) http://dx.doi.org/10.1016/S0550-3213(03)00349-3[Crossref]
• [2] E. K. Boyda, S. Ganguli, P. Horava, U. Varadarajan, Phys. Rev. D 67, 106003 (2003) http://dx.doi.org/10.1103/PhysRevD.67.106003[Crossref]
• [3] J. P. Gauntlett, J. B. Gutowski, C. M. Hull, S. Pakis, H. S. Reall, Class. Quant. Grav. 20, 4587 (2003) http://dx.doi.org/10.1088/0264-9381/20/21/005[Crossref]
• [4] G. W. Gibbons, C. A. R. Herdeiro, Class. Quant. Grav. 16, 3619 (1999) http://dx.doi.org/10.1088/0264-9381/16/11/311[Crossref]
• [5] C. A. R. Herdeiro, Nucl. Phys. B 582, 363 (2000) http://dx.doi.org/10.1016/S0550-3213(00)00335-7[Crossref]
• [6] R. R. Metsaev, Nucl. Phys. B 625, 70 (2002) http://dx.doi.org/10.1016/S0550-3213(02)00003-2[Crossref]
• [7] R. R. Metsaev, A. A. Tseytlin, Phys. Rev. D 65, 126004 (2002) http://dx.doi.org/10.1103/PhysRevD.65.126004[Crossref]
• [8] A. A. Tseytlin, arXiv:0311139 [hep-th]
• [9] A. A. Tseytlin, arXiv:0409296 [hep-th]
• [10] G. T. Horowitz, A. R. Steif, Phys. Rev. Lett. 64, 260 (1990) http://dx.doi.org/10.1103/PhysRevLett.64.260[Crossref]
• [11] C. Duval, Z. Horvath, P. A. Horvathy, Phys. Lett. B 313, 10 (1993) http://dx.doi.org/10.1016/0370-2693(93)91183-N[Crossref]
• [12] C. Duval, Z. Horvath, P. A. Horvathy, Mod. Phys. Lett. A 8, 3749 (1993) http://dx.doi.org/10.1142/S0217732393003482[Crossref]
• [13] M. Blau, M. O’Loughlin, G. Papadopoulos, A. A. Tseytlin, Nucl. Phys. B 673, 57 (2003) http://dx.doi.org/10.1016/j.nuclphysb.2003.09.018[Crossref]
• [14] M. Cvetic, H. Lu, C.N. Pope, Nucl. Phys. B 644, 65 (2002) http://dx.doi.org/10.1016/S0550-3213(02)00792-7[Crossref]
• [15] L. Maoz, J. Simón, J. High Energy Phys. 0401, 051 (2004) http://dx.doi.org/10.1088/1126-6708/2004/01/051[Crossref]
• [16] A. V. Levichev, Sib. Math. J. 31, 395 (1990) http://dx.doi.org/10.1007/BF00970346[Crossref]
• [17] S. Chandrasekhar, J. P. Wright, Class. Quantum Grav. 23, 2653 (2006) http://dx.doi.org/10.1088/0264-9381/23/7/025[Crossref]
• [18] S. Hawking, G. F. R. Ellis, The Large Scale Structure of Space-Time (Cambridge University Press, 1977)
• [19] P. Gusin, Mod. Phys. Lett. A 25, 2873 (2010) http://dx.doi.org/10.1142/S0217732310034213[Crossref]
• [20] I. Ozsvath, E. Schücking, An anti-Mach metric, Recent Developments in General Relativity (Pergamon Press 1962) 339
• [21] V. A. Kushmantseva, A. V. Levichev, Sib. Math. J. 31, 90 (1990)
• [22] M. Blau, P. Meessen, M. O’Loughlin, J. High Energy Phys. 0309, 072 (2003) http://dx.doi.org/10.1088/1126-6708/2003/09/072[Crossref]
• [23] T. H. Buscher, Phys. Lett. B 194, 59 (1987) http://dx.doi.org/10.1016/0370-2693(87)90769-6[Crossref]
• [24] T. H. Buscher, Phys. Lett. B 201, 466 (1988) http://dx.doi.org/10.1016/0370-2693(88)90602-8[Crossref]

Identifiers

DOI

10.2478/s11534-012-0061-8