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Sojasi, A.; Mohsenzadeh, M.; Takook, M. V.; Yusofi, E.

Spectrum of scalar curvature perturbations in Krein space quantization. (English) Zbl 1203.83077

Int. J. Theor. Phys. 49, No. 10, 2409-2416 (2010).
Summary: The main goal of this paper is to derive the primordial power spectrum for the scalar perturbations generated as a result of quantum fluctuations during an inflationary period by an alternative approach of field quantization, i.e. Krein space quantization [J.-P. Gazeau, J. Renaud and M. V. Takook, Classical Quantum Gravity 17, No. 6, 1415–1434 (2000; Zbl 1131.83301); M. V. Takook, Int. J. Mod. Phys. 11, 509 (2002); S. Rouhani and M. V. Takook, Int. J. Theor. Phys. 48, No. 10, 2740–2747 (2009; Zbl 1177.83072)]. The spectrum of scalar curvature perturbations are calculated in the slow roll approximation.

Cited in 1 Document

MSC:

83F05 Relativistic cosmology
83C47 Methods of quantum field theory in general relativity and gravitational theory
83C25 Approximation procedures, weak fields in general relativity and gravitational theory

Keywords:

power spectrum; Krein space quantization; scalar curvature perturbations; slow roll approximation

Citations:

Zbl 1131.83301; Zbl 1177.83072
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References:

[1] Abramowitz, M., Stegun, I.: Handbook of Mathematical Functions, with Formulas, Graphs, and Mathematical Tables. Dover, New York (1974) · Zbl 0171.38503
[2] Allen, B.: Phys. Rev. D 32, 3136 (1985) · doi:10.1103/PhysRevD.32.3136
[3] Bardeen, J.M.: Phys. Rev. D 22, 1980 (1882)
[4] Birrell, N.D., Davies, P.C.W.: Quantum Field in Curved Space. Cambridge University Press, Cambridge (1982) · Zbl 0476.53017
[5] De Bièvre, S., Renaud, J.: Phys. Rev. D 57, 6230 (1998) · doi:10.1103/PhysRevD.57.6230
[6] Gazeau, J.P., Renaud, J., Takook, M.V.: Class. Quantum Gravity 17, 1415 (2000). gr-qc/9904023 · Zbl 1131.83301 · doi:10.1088/0264-9381/17/6/307
[7] Hawking, S.W., Hertog, T.: hep-th/0107088 (2001)
[8] Kaloper, N., Kaplinghat, M.: Phys. Rev. D 68, 123522 (2003). hep-th/0307016 · doi:10.1103/PhysRevD.68.123522
[9] Khosravi, H., Naseri, M., Rouhani, S., Takook, M.V.: Phys. Lett. B 640, 48 (2006). gr-qc/0604036 · Zbl 1248.81102 · doi:10.1016/j.physletb.2006.07.027
[10] Kolb, E.W., Turner, M.S.: The Early Universe. Addison-Wesley, New York (1990) · Zbl 0984.83503
[11] Lyth, D.H., Stewart, E.D.: Phys. Lett. B 274, 168 (1992) · doi:10.1016/0370-2693(92)90518-9
[12] Mannhein, P.D.: Found. Phys. 37, 532 (2007) · Zbl 1121.83011 · doi:10.1007/s10701-007-9119-7
[13] Mohsenzadeh, M., Rouhani, S., Takook, M.V.: Int. J. Theor. Phys. 48, 755 (2009) · Zbl 1176.83163 · doi:10.1007/s10773-008-9851-6
[14] Mukhanov, V.F., Feldman, H.A., Brandenberger, R.H.: Phys. Rep. 215, 203 (1992) · doi:10.1016/0370-1573(92)90044-Z
[15] Rouhani, S., Takook, M.V.: Europhys. Lett. 68, 15 (2004). gr-qc/0409120 · doi:10.1209/epl/i2004-10217-3
[16] Rouhani, S., Takook, M.V.: Int. J. Theor. Phys. 48, 2740 (2009). gr-qc/0607027 · Zbl 1177.83072 · doi:10.1007/s10773-009-0064-4
[17] Stewart, E.D., Lyth, D.H.: Phys. Lett. B 302, 171–175 (1993) · doi:10.1016/0370-2693(93)90379-V
[18] Takook, M.V.: Mod. Phys. Lett. A 16, 1691 (2001). gr-qc/0005020 · Zbl 1138.81489 · doi:10.1142/S0217732301004996
[19] Takook, M.V.: Int. J. Mod. Phys. E 11, 509 (2002). gr-qc/0006019 · doi:10.1142/S0218301302001071
[20] Takook, M.V.: Int. J. Mod. Phys. E 14, 219 (2005). gr-qc/0006052 · doi:10.1142/S0218301305002953
[21] Takook, M.V.: In: Proceeding of the Wigsym6, Istanbul, Turkey, 16–22 August 1999. gr-qc/0001052
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