Dark Energy Classification in Higher Dimensional FRW Model According to State

Year 2022, Volume: 6 Issue: 4, 113 - 115, 29.12.2022

Emine Canan Günay Demirel

Abstract

In this study, we obtain scalar potential in higher dimensional FRW model via considering exponential acceleration. Also, we classify dark energy models for higher dimensional FRW model in accordance with state parameters (r, s) by considering exponential acceleration. In this respect, we obtain cosmological constant for r = 1and s = 0 as dark energy candidate. We obtain Phantom energy for r <1 and s > 0 dark energy candidate.

Keywords

Dark energy, higher dimensional, FRW model, state parameter

References

• [1] Carroll, S. M., Dark Energy and The Preposterous Universe. Sky&Telescope, 1(3): 32-39, 2005.
• [2] Liddle A., An Introduction to Modern Cosmology. John Wiley & Sons, New York. 24, 1999.
• [3] Carroll, S.M. The Cosmological Constant. Living Rev. Relativ. 4, 1, 2001.
• [4] Huang X.J. and Wang Y.J., Higher-Dimensional Cosmological Models with Density-Parameter-Dependent Cosmological Constant. Chinese Phys. Lett., 21 (8): 1670-1672, 2004.
• [5] Chatterjee S. and Bhui B., Homogeneous Cosmological Model in Higher Dimension. Mon. Not. Roy. Astron. Soc., 247 (1): 57-61, 1990.
• [6] Khurshudyan M., Interaction between Generalized Varying Chaplygin gas and Tachyonic Fluid, 2013. arXiv:1301.1021v2 [gr-qc],
• [7] Barrow, J. D., and Nunes, N. J. Dynamics of “logamediate” inflation. Physical Review D, 76(4), 043501, 2007.
• [8] Barrow, J.D., Liddle, A.R., Phys. Rev. D, Perturbation Spectra from Intermediate Inflation 47, 5219, 1993.
• [9] Pradhanl, A., Amirhashchi, H., Saha, B., Bianchi Type-I Anisotropic Dark Energy Model with Constant Deceleration Parameter. Int. J. Theror. Phys., 50, 2923-2938, 2011.
• [10] Sahni V., Saini T.D., Starobinsky A.A. and Alam U., Statefinder-a New Geometrical Diagnostic of Dark Energy. JETP Lett., 77 (5): 201-206.; Pisma Zh. Eksp. Teor. Fiz., 77: 249-253, 2003.
• [11] Alam U., Sahni V., Saini T.D. and Starobinsky A.A., Exploring the Expanding Universe and Dark Energy using the Statefinder Diagnostic. Mon. Not. Roy. Astron. Soc., 344 (4): 1057-1074, 2003.
• [12] Gorini V., Kamenshchik A. and Moschella U., Can the Chaplygin Gas be a Plausible Model for Dark Energy? Phys. Rev. D, 67 (6): 063509, 2003.
• [13] Zimdahl W. and Pavon D., Statefinder Parameters for Interacting Dark Energy. Gen. Rel. Grav., 36 (6): 1483-1491, 2004.
• [14] Wu P.X. and Yu H.W., Statefinder Parameters for Quinton Dark Energy Model. Int. J. Mod. Phys. D, 14 (11): 1873-1882, 2005.
• [15] Zhang X., Statefinder Diagnostic for Coupled Quintessence. Phys. Lett. B, 611 (1-2): 1-7, 2005.
• [16] Zhang X., Statefinder Diagnostic for Holographic Dark Energy Model. Int. J. Mod. Phys. D, 14 (09): 1597-1606, 2005.
• [17] Zhang X., Wu F.Q. ve Zhang J.F., New Generalized Chaplygin Gas as a Scheme for Unification of Dark Energy and Dark Matter. JCAP., 0601 (01): 003, 2006.
• [18] Setare, M.R., Zhang, J.F., Zhang, X., State finder diagnosis in a non-flat universe and the holographic model of dark energy. JCAP., 0703:007, 2007.
• [19] Chang B., Liu H., Xu L., Zhang C. ve Ping Y., State finder Parameters for Interacting Phantom Energy with Dark Matter. JCAP., 07 (01): 016, 2005.