Demetrian, Michal False vacuum decay in a brane world cosmological model. (English) Zbl 1092.83027 Gen. Relativ. Gravitation 38, No. 5, 953-962 (2006). Summary: The false vacuum decay in a brane world model is studied in this work. We investigate the vacuum decay via the Coleman-de Luccia instanton, derive explicit approximative expressions for the Coleman-de Luccia instanton which is close to a Hawking-Moss instanton and compare the results with those already obtained within Einstein’s theory of relativity. Cited in 4 Documents MSC: 83F05 Cosmology 83E30 String and superstring theories in gravitational theory Keywords:False vacuum decay; Brane world; Coleman-de Luccia instanton PDF BibTeX XML Cite \textit{M. Demetrian}, Gen. Relativ. Gravitation 38, No. 5, 953--962 (2006; Zbl 1092.83027) Full Text: DOI References: [1] Linde, A.: Phys. Rev. D 59, 023503 (1999) [hep-ph/9807493] · doi:10.1103/PhysRevD.59.023503 [2] Linde, A., Sasaki, M., Tanaka, T.: Phys. Rev. D 59, 123522 (1999) [astro-ph/9901135] · doi:10.1103/PhysRevD.59.123522 [3] Chiba, T., Yamaguchi, M.: Phys. Rev. D 61, 027304 (2000) [hep-ph/9907402] · doi:10.1103/PhysRevD.61.027304 [4] del Campo, S., Herrera, R.: Phys. Rev. D 67, 063507 (2003) [gr-qc/0303024] · Zbl 1222.83205 · doi:10.1103/PhysRevD.67.063507 [5] Garriga, J., Tanaka, T.: Phys. Rev. Lett. 84, 2778 (2000) [hep-th/9911055] · Zbl 0949.83019 · doi:10.1103/PhysRevLett.84.2778 [6] Garriga, J., Sasaki, M.: Phys. Rev. D 62, 043523 (2000) [hep-th/9912118] · doi:10.1103/PhysRevD.62.043523 [7] Bouhmadi-Lopez, M., Gonzalez-Diaz, P.F., Zhuk, A.: Class. Quant. Grav. 19, 4863 (2002) [hep-th/0208226] · Zbl 1027.83026 · doi:10.1088/0264-9381/19/19/306 [8] Bouhmadi, M., Gonzalez-Diaz, P.F.: Phys. Rev. D 65, 063510 (2002) · doi:10.1103/PhysRevD.65.063510 [9] Ochiai, H., Ida, D., Shiromizu, T.: Prog. Theor. Phys. 107, 703 (2002) [hep-th/0111070] · Zbl 1008.81082 · doi:10.1143/PTP.107.703 [10] Gregory, R., Padilla, A.: Class. Quant. Grav. 19, 279 (2002) [hep-th/0107108] · Zbl 1007.83030 · doi:10.1088/0264-9381/19/2/308 [11] Randall, L., Sundrum, R.: Phys. Rev. Lett. 83, 4690 (1999) [hep-th/9906064] · Zbl 0946.81074 · doi:10.1103/PhysRevLett.83.4690 [12] del Campo, S., Herrera, R., Saavedra, J.: Phys. Rev. D 70, 023507 (2004) [hep-th/0404148] · doi:10.1103/PhysRevD.70.023507 [13] Davis, S.C., Brechet, S.: [hep-ph/0503243] [14] Coleman, S., de Luccia, F.: Phys. Rev. D 21, 3305 (1980) · doi:10.1103/PhysRevD.21.3305 [15] Jensen, L., Steinhardt, P.J.: Nucl. Phys. B 237, 176 (1984) · doi:10.1016/0550-3213(84)90021-X [16] Tanaka, T.: Nucl. Phys. B 556, 373 (1999) [gr-qc/9901082]; Sasaki, M., Stewart, E.D., Tanaka, T.: Phys. Rev. D 50, 941 (1994) [hep-ph/9402247]; Tanaka, T., Sasaki, M.: Progr. Theor. Phys. 88, 503 (1992) [17] Balek, V., Demetrian, M.: Phys. Rev. D 69, 063518 (2004) [gr-qc/0311040] · doi:10.1103/PhysRevD.69.063518 [18] Balek, V., Demetrian, M.: Phys. Rev. D 71, 023512 (2005) [gr-qc/0409001] · doi:10.1103/PhysRevD.71.023512 [19] Demetrian, M.: [gr-qc/0504133]; Demetrian, M.: [gr-qc/0408012] [20] Shiromizu, T., Maeda, K., Sasaki, M.: Phys. Rev. D 62, 024012 (2000) [gr-qc/9910076] · doi:10.1103/PhysRevD.62.024012 [21] Hawking, S.W., Moss, I.G.: Phys. Lett. 110B, 35 (1982) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.