Properties of the exact analytic solution of the growth factor and its applications

Journal Article · Sun Aug 15 00:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.82.043004· OSTI ID:21420902

Lee, Seokcheon ^[1]; Ng, Kin-Wang ^[1]

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1. Institute of Physics, Academia Sinica, Taipei, Taiwan 11529 (China)

There have been the approximate analytic solution [V. Silveira and I. Waga, Phys. Rev. D 50, 4890 (1994).] and several approximate analytic forms [W. J. Percival, Astron. Astrophys. 443, 819 (2005).][S. M. Carroll, W. H. Press, and E. L. Turner, Annu. Rev. Astron. Astrophys. 30, 499 (1992).][S. Basilakos, Astrophys. J. 590, 636 (2003).] of the growth factor D{sub g} for the general dark energy models with the constant values of its equation of state {omega}{sub de} after Heath found the exact integral form of the solution of D{sub g} for the Universe including the cosmological constant or the curvature term. Recently, we obtained the exact analytic solutions of the growth factor for both {omega}{sub de}=-1 or -(1/3)[S. Lee and K.-W. Ng, arXiv:0905.1522.] and the general dark energy models with the constant equation of state {omega}{sub de}[S. Lee and K.-W. Ng, Phys. Lett. B 688, 1 (2010).] independently. We compare the exact analytic solution of D{sub g} with the other well known approximate solutions. We also prove that the analytic solutions for {omega}{sub de}=-1 or -(1/3) in [S. Lee and K.-W. Ng, arXiv:0905.1522.] are the specific solutions of the exact solutions of the growth factor for general {omega}{sub de} models in [S. Lee and K.-W. Ng, Phys. Lett. B 688, 1 (2010).] even though they look quite different. Comparison with the numerical solution obtained from the public code is done. We also investigate the possible extensions of the exact solution of D{sub g} to the time-varying {omega}{sub de} for the comparison with observations.

• OSTI ID: 21420902
• Journal Information: Physical Review. D, Particles Fields, Vol. 82, Issue 4; Other Information: DOI: 10.1103/PhysRevD.82.043004; (c) 2010 American Institute of Physics; ISSN 0556-2821
• Country of Publication: United States
• Language: English

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EQUATIONS OF STATE
EXACT SOLUTIONS
NONLUMINOUS MATTER
UNIVERSE
CALCULATION METHODS
CLOSED PLASMA DEVICES
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