New results in the use of a “reverse engineering” method in cosmologies with scalar field

• Authors: Dumitru Vulcanov
• Languages of publication: EN

Abstracts

EN

The method of “reverse engineering” for designing potentials in cosmologies with “quintessence” scalar field is systematically used for several types of cosmologies (through the time behavior of the scale factor). The general recipe is introduced and then applied when matter other than the scalar field is present, and for tachyonic scalar fields. The possibility of using this method for prescribing initial data in numerical simulations in cosmology is investigated.

Keywords

EN

cosmology; numerical relativity; scalar fields

Discipline

• 04.25.D-: Numerical relativity

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2008
• Volume: 6
• Issue: 1
• Pages: 84-96

Dates

published

1 - 3 - 2008

online

26 - 3 - 2008

Contributors

author

Dumitru Vulcanov

• Theoretical and Computational Physics Department, The West University of Timişoara, B-dul V. Pârvan no. 4, 300223, Timişoara, România

References

• [1] J.P. Ostriker, P.J. Steinhardt, Nature 377, 600 (1995) http://dx.doi.org/10.1038/377600a0[Crossref]
• [2] S. Perlmutter et al., Astrophys. J. 517, 565 (1999) http://dx.doi.org/10.1086/307221[Crossref]
• [3] C.W. Misner, K.S. Thorne, J.A. Wheeler, Gravitation (Freeman, San Francisco, 1973)
• [4] J.N. Islam, An Introduction to Mathematical Cosmology (Cambridge University Press, Cambridge, 1992)
• [5] G.F.R. Ellis, M.S. Madsen, Class. Quantum Grav. 8, 667 (1991) http://dx.doi.org/10.1088/0264-9381/8/4/012[Crossref]
• [6] G.F.R. Ellis, J. Murugan, C.G. Tsagas, Class. Quantum Grav. 21, 233 (2004) http://dx.doi.org/10.1088/0264-9381/21/1/016[Crossref]
• [7] V.H. Cardenas, S. del Campo, arXiv:astro-ph/0401031
• [8] A. Zhuk, Class. Quantum Gravity 13, 2163 (1996) http://dx.doi.org/10.1088/0264-9381/13/8/012[Crossref]
• [9] A.A. Starobinsky, JETP Lett. 68, 757 (1998) http://dx.doi.org/10.1134/1.567941[Crossref]
• [10] D. Hunter, M.S. Turner, Phys. Rev. D 60, 081301 (1999)
• [11] T. Chiba, T. Nakamura, Phys. Rev. D 62, 121301 (2000)
• [12] K. Guo, N. Ohta, Y.Z. Zhang, Phys. Rev. D 72, 023504 (2005)
• [13] T.D. Saini et al., Phys. Rev. Lett. 85, 1162 (2000) http://dx.doi.org/10.1103/PhysRevLett.85.1162[Crossref]
• [14] V. Sahni, A.A. Starobinsky, Int. J. Mod. Phys. D 15, 2105 (2006) http://dx.doi.org/10.1142/S0218271806009704[Crossref]
• [15] D.N. Vulcanov, V.D. Vulcanov, arXiv:cs.SC/0409006 [WoS]
• [16] T. Padmanabham, Phys. Rev. D 66, 021301(R) (2002)
• [17] T. Padmanabhan, T. Roy Choudhury, Phys. Rev. D 66, 081301 (2002)
• [18] G.W. Gibbons, Phys. Lett. B 537, 1 (2002) http://dx.doi.org/10.1016/S0370-2693(02)01881-6[Crossref]
• [19] S. Tsujikawa, Phys. Rev. D 72, 083512 (2005)
• [20] A.A. Starobinsky, JETP Lett. 82, 169 (2005) http://dx.doi.org/10.1134/1.2121807[Crossref]
• [21] J. Lesgourgues, A.A. Starobinsky, W. Valkenburg, arXiv:0710.1630 [WoS]
• [22] E. Seidel, Wai-Mo Suen, J. Comp. Appl. Math. 109, 493 (1999) http://dx.doi.org/10.1016/S0377-0427(99)00169-7[Crossref]
• [23] B. Brügmann, Ann. Phys. (Leipzig) 9, 227 (2000) http://dx.doi.org/10.1002/(SICI)1521-3889(200005)9:3/5<227::AID-ANDP227>3.0.CO;2-D[Crossref]
• [24] M. Alcubierre et al., Class. Quantum Grav. 21, 589 (2004) http://dx.doi.org/10.1088/0264-9381/21/2/019[Crossref]
• [25] D.N. Vulcanov, M. Alcubierre, Int. J. Mod. Phys. C 13, 837 (2002) http://dx.doi.org/10.1142/S0129183102003577[Crossref]
• [26] D.N. Vulcanov, arXiv:gr-qc/0210006 [WoS]
• [27] T.W. Baumgarte, S.L. Shapiro, Phys. Rev. D 59, 024007 (1999)
• [28] M. Shibata, T. Nakamura, Phys. Rev. D 52, 5428 (1995) http://dx.doi.org/10.1103/PhysRevD.52.5428[Crossref]

Identifiers

DOI

10.2478/s11534-008-0029-x