Skip to main content
SpringerLink
Log in

Observational constraints on the extended Chaplygin gas inflation

  • Original Article
  • Published:
Astrophysics and Space Science Aims and scope Submit manuscript

Abstract

In this paper, we study extended Chaplygin gas as a candidate for inflation and predict the values of gas parameters for a physically viable cosmological model. The extended Chaplygin gas which proposed recently has n+2 free parameters. When n=1, there are three parameters which are corresponding to modified Chaplygin gas. Here we focus on the second order equation of state where n=2, so we have generally four free parameters. Under some assumptions, we reduced free parameters of the model to the only one parameter and try to fix it using the dimensionless age parameter. Also we check validity of our calculations using recent observations of BICEP2.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3

Similar content being viewed by others

References

  • Ade, P.A.R., et al. (Planck Collaboration): Planck 2013 results. XV. CMB power spectra and likelihood (2013). arXiv:1303.5075 [astro-ph.CO]

  • Ade, P.A.R., et al. (BICEP2 Collaboration): BICEP2 I: Detection of B-mode Polarization at Degree Angular Scales (2014). arXiv:1403.3985 [astro.ph.CO]

  • Amani, A.R., Pourhassan, B.: Viscous generalized Chaplygin gas with arbitrary α. Int. J. Theor. Phys. 52, 1309 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  • Amani, A.R., Escamilla-Rivera, C., Faghani, H.R.: Interacting closed string tachyon with modified Chaplygin gas and its stability. Phys. Rev. D 88, 124008 (2013)

    Article  ADS  Google Scholar 

  • Ananda, K.N., Bruni, M.: Cosmo-dynamics and dark energy with non-linear equation of state: a quadratic model. Phys. Rev. D 74, 023523 (2006)

    Article  ADS  Google Scholar 

  • Aviles, A., Bastarrachea-Almodovar, A., Campuzano, L., Quevedo, H.: Extending the generalized Chaplygin gas model by using geometrothermodynamics. Phys. Rev. D 86, 063508 (2012)

    Article  ADS  Google Scholar 

  • Benaoum, H.B.: Accelerated universe from modified Chaplygin gas and tachyonic fluid (2002). arXiv:hep-th/0205140

  • Benaoum, H.B.: Modified Chaplygin gas cosmology. Adv. High Energy Phys. 2012, 357802 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  • Benaoum, H.B.: Modified Chaplygin gas cosmology with bulk viscosity in D dimensions (2014). arXiv:1401.8002 [gr-qc]

  • Bennett, C.L., et al.: Seven-year Wilkinson Microwave Anisotropy Probe (WMAP) observations: power spectra and WMAP-derived parameters. Astrophys. J. Suppl. Ser. 192, 17 (2011)

    Article  ADS  Google Scholar 

  • Bento, M.C., Bertolami, O., Sen, A.A.: Generalized Chaplygin gas, accelerated expansion and dark energy-matter unification. Phys. Rev. D 66, 043507 (2002)

    Article  ADS  Google Scholar 

  • Bhadra, J., Debnath, U.: Dynamical system analysis of interacting variable modified Chaplygin gas model in FRW universe. Eur. Phys. J. Plus 127, 30 (2012a)

    Article  Google Scholar 

  • Bhadra, J., Debnath, U.: Accretion of new variable modified Chaplygin gas and generalized cosmic Chaplygin gas onto Schwarzschild and Kerr-Newman black holes. Eur. Phys. J. C 72, 1912 (2012b)

    Article  ADS  Google Scholar 

  • Bhadra, J., Debnath, U.: Observational constraints of new variable modified Chaplygin gas model (2012c). arXiv:1211.2783 [physics.gen-ph]

  • Bouhmadi-Lopez, M., Chen, P., Huang, Y.-C., Lin, Y.-H.: Slow-roll inflation preceded by a topological defect phase à la Chaplygin gas. Phys. Rev. D 87(10), 103513 (2013)

    Article  ADS  Google Scholar 

  • Chakraborty, W., Debnath, U.: A new variable modified Chaplygin gas model interacting with scalar field. Gravit. Cosmol. 16, 223 (2010)

    Article  ADS  MATH  Google Scholar 

  • Chattopadhyay, S., Debnath, U.: Interaction between phantom field and modified Chaplygin gas. Astrophys. Space Sci. 326, 155 (2010)

    Article  ADS  MATH  Google Scholar 

  • Chavanis, P.-H.: A cosmological model describing the early inflation, the intermediate decelerating expansion, and the late accelerating expansion by a quadratic equation of state (2013). arXiv:1309.5784 [astro-ph.CO]

  • del Campo, S.: Single-field inflation à la generalized Chaplygin gas. J. Cosmol. Astropart. Phys. 11, 004 (2013). arXiv:1310.4988 [astro-ph.CO]

    Article  Google Scholar 

  • Deng, X.-M.: A modified generalized Chaplygin gas as the unified dark matter-dark energy revisited. Braz. J. Phys. 41, 333 (2011)

    Article  ADS  Google Scholar 

  • Dinda, B.R., Kumar, S., Sen, A.A.: Inflationary GCG + Phantom DE in the light of Planck and BICEP2 (2014). arXiv:1404.3683 [astro-ph.CO]

  • Fabris, J.C., Velten, H.E.S., Zimdahl, W.: Matter power spectrum for the generalized Chaplygin gas model: the relativistic case. Phys. Rev. D 81, 087303 (2010)

    Article  ADS  Google Scholar 

  • Farooq, M.U., Rashid, M.A., Jamil, M.: Interacting entropy-corrected holographic Chaplygin gas model. Int. J. Theor. Phys. 49, 2334 (2010)

    Article  MATH  Google Scholar 

  • Gonzalez-Diaz, P.F.: You need not be afraid of phantom energy. Phys. Rev. D 68, 021303 (2003)

    Article  ADS  Google Scholar 

  • Gorini, V., Kamenshchik, A., Moschella, U.: Can the Chaplygin gas be a plausible model for dark energy? Phys. Rev. D 67, 063509 (2003)

    Article  ADS  Google Scholar 

  • Guth, A.: Inflationary universe: a possible solution to the horizon and flatness problems. Phys. Rev. D 23, 347 (1981)

    Article  ADS  Google Scholar 

  • Harko, T., Lobo, F.S.N., Mak, M.K.: Arbitrary scalar field and quintessence cosmological models. Eur. Phys. J. C 74, 2784 (2014)

    Article  ADS  Google Scholar 

  • Herrera, R., Olivares, M., Videla, N.: Intermediate-generalized Chaplygin gas inflationary universe model. Eur. Phys. J. C 73, 2295 (2013)

    Article  ADS  Google Scholar 

  • Jamil, M., Debnath, U.: Interacting modified Chaplygin gas in loop quantum cosmology. Astrophys. Space Sci. 333, 3 (2011)

    Article  ADS  Google Scholar 

  • Jarosik, N., et al.: Seven-year Wilkinson Microwave Anisotropy Probe (WMAP) observations: sky maps, systematic errors, and basic results. Astrophys. J. Suppl. 192, 14 (2011)

    Article  ADS  Google Scholar 

  • Kaiser, N.: Astronomical redshifts and the expansion of space. Mon. Not. R. Astron. Soc. 438, 2456 (2014)

    Article  ADS  Google Scholar 

  • Kamenshchik, A.Y., Moschella, U., Pasquier, V.: Chaplygin-like gas and branes in black hole bulks. Phys. Lett. B 487, 7 (2000)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  • Kamenshchik, A.Y., Moschella, U., Pasquier, V.: An alternative to quintessence. Phys. Lett. B 511, 265 (2001)

    Article  ADS  MATH  Google Scholar 

  • Khurshudyan, M.: Interaction between generalized varying Chaplygin gas and tachyonic fluid (2013). arXiv:1301.1021 [physics.gen-ph]

  • Khurshudyan, M., Sadeghi, J., Hakobyan, M., Farahani, H., Myrzakulov, R.: Interaction between modified Chaplygin gas and ghost dark energy in presence of extra dimensions (2014a). arXiv:1402.3256 [gr-qc]

  • Khurshudyan, M., Kahya, E.O., Pourhassan, B., Myrzakulov, R., Pasqua, A.: Higher order corrections of the extended Chaplygin gas cosmology with varying G and Λ (2014b). arXiv:1402.2592 [gr-qc]

  • Khurshudyan, M., Chubaryan, E., Pourhassan, B.: Interacting quintessence models of dark energy. Int. J. Theor. Phys. 53 (2014c). arXiv:1402.2385 [gr-qc]

  • Khurshudyan, M., Pourhassan, B., Myrzakulov, R., Chattopadhyay, S., Kahya, E.O.: An effective quintessence field with a power-law potential (2014d). arXiv:1403.3768 [gr-qc]

  • Larson, D., et al.: Seven-year Wilkinson Microwave Anisotropy Probe (WMAP) observations: power spectra and Wmap-derived parameters. Astrophys. J. Suppl. Ser. 192, 16 (2011)

    Article  ADS  Google Scholar 

  • Li, W., Xu, L.: Viscous generalized Chaplygin gas as a unified dark fluid: including perturbation of bulk viscosity. Eur. Phys. J. C 74, 2765 (2014)

    Article  ADS  Google Scholar 

  • Liao, K., Pan, Y., Zhu, Z.-H.: Observational constraints on new generalized Chaplygin gas model. Res. Astron. Astrophys. 13, 159 (2013)

    Article  ADS  Google Scholar 

  • Linder, E.V., Scherrer, R.J.: Aetherizing lambda: barotropic fluids as dark energy. Phys. Rev. D 80, 023008 (2009)

    Article  ADS  Google Scholar 

  • Lu, J., Xu, L., Li, J., Chang, B., Gui, Y., Liu, H.: Constraints on modified Chaplygin gas from recent observations and a comparison of its status with other models. Phys. Lett. B 662, 87 (2008)

    Article  ADS  Google Scholar 

  • Lu, J., Gui, Y., Xu, L.: Observational constraint on generalized Chaplygin gas model. Eur. Phys. J. C 63, 349 (2009)

    Article  ADS  Google Scholar 

  • Lu, J., Xu, L., Wu, Y., Liu, M.: Combined constraints on modified Chaplygin gas model from cosmological observed data: Markov Chain Monte Carlo approach. Gen. Relativ. Gravit. 43, 819 (2011)

    Article  ADS  MATH  Google Scholar 

  • Lu, J., Xu, L., Wu, Y., Liu, M.: Reduced modified Chaplygin gas cosmology (2013). arXiv:1312.0779 [astro-ph.CO]

  • Mukherjee, A., Banerjee, N.: A reconstruction of quintessence dark energy (2013). arXiv:1311.4024 [gr-qc]

  • Ogawa, N.: A note on classical solution of Chaplygin-gas as D-brane. Phys. Rev. D 62, 085023 (2000)

    Article  ADS  Google Scholar 

  • Panigrahi, D., Chatterjee, S.: FRW type of cosmology with a Chaplygin gas. Int. J. Mod. Phys. D 21, 1250079 (2012)

    Article  ADS  MATH  Google Scholar 

  • Paul, B.C.: Holographic dark energy model with modified variable Chaplygin gas (2010). arXiv:1006.3428 [gr-qc]

  • Peebles, P.J.E., Ratra, B.: The cosmological constant and dark energy. Rev. Mod. Phys. 75, 559 (2003)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  • Pourhassan, B.: Viscous modified cosmic Chaplygin gas cosmology. Int. J. Mod. Phys. D 22(9), 1350061 (2013)

    Article  ADS  Google Scholar 

  • Pourhassan, B., Kahya, E.O.: FRW cosmology with extended Chaplygin gas (2014). arXiv:1405.0667 [gr-qc]

  • Pun, C.S.J., Gergely, L.A., Mak, M.K., Kovacs, Z., Szabo, G.M., Harko, T.: Viscous dissipative Chaplygin gas dominated homogenous and isotropic cosmological models. Phys. Rev. D 77, 063528 (2008)

    Article  ADS  Google Scholar 

  • Ranjit, C., Rudra, P., Kundu, S.: Observational constraints of modified Chaplygin gas in RS II brane. Astrophys. Space Sci. 347, 423 (2013a)

    Article  ADS  Google Scholar 

  • Ranjit, C., Chakraborty, S., Debnath, U.: Variable modified Chaplygin gas in anisotropic universe with Kaluza-Klein metric. Int. J. Theor. Phys. 52, 862 (2013b)

    Article  MathSciNet  MATH  Google Scholar 

  • Roy, N., Banerjee, N.: Quintessence scalar field: a dynamical systems study (2014). arXiv:1402.6821 [gr-qc]

    MATH  Google Scholar 

  • Rudra, P.: Dynamics of interacting generalized cosmic Chaplygin gas in Brane-world scenario. Astrophys. Space Sci. 342, 579 (2012)

    Article  ADS  MATH  Google Scholar 

  • Rudra, P.: Role of generalized cosmic Chaplygin gas in accelerating universe: a field theoretical prescription. Mod. Phys. Lett. A 28, 1350102 (2013)

    Article  ADS  MathSciNet  Google Scholar 

  • Rudra, P., Debnath, U., Biswas, R.: Dynamics of modified Chaplygin gas in brane world scenario: phase plane analysis. Astrophys. Space Sci. 339, 53 (2012)

    Article  ADS  MATH  Google Scholar 

  • Rudra, P., Ranjit, C., Kundu, S.: How effective is new variable modified Chaplygin gas to play the role of dark energy—a dynamical system analysis in RS II Brane model. Astrophys. Space Sci. 347, 433 (2013)

    Article  ADS  Google Scholar 

  • Saadat, H., Pourhassan, B.: Viscous varying generalized Chaplygin gas with cosmological constant and space curvature. Int. J. Theor. Phys. 52, 3712 (2013a)

    Article  MathSciNet  MATH  Google Scholar 

  • Saadat, H., Pourhassan, B.: FRW bulk viscous cosmology with modified Chaplygin gas in flat space. Astrophys. Space Sci. 343, 783 (2013b)

    Article  ADS  Google Scholar 

  • Saadat, H., Pourhassan, B.: FRW bulk viscous cosmology with modified cosmic Chaplygin gas. Astrophys. Space Sci. 344, 237 (2013c)

    Article  ADS  Google Scholar 

  • Saadat, H., Pourhassan, B.: Effect of varying bulk viscosity on generalized Chaplygin gas. Int. J. Theor. Phys. 53, 1168 (2014)

    Article  MATH  Google Scholar 

  • Saaidi, Kh.: Mohammadi, A.: Brane cosmology with generalized Chaplygin gas in the bulk. Mod. Phys. Lett. A 25, 3061 (2010)

    Article  ADS  MATH  Google Scholar 

  • Sadeghi, J., Farahani, H.: Interaction between viscous varying modified cosmic Chaplygin gas and Tachyonic fluid. Astrophys. Space Sci. 347, 209 (2013)

    Article  ADS  Google Scholar 

  • Sadeghi, J., Khurshudyan, M., Farahani, H.: Phenomenological varying modified Chaplygin gas with variable G and Λ: toy models for our universe (2013). arXiv:1308.1819 [gr-qc]

  • Sadeghi, J., Pourhassan, B., Moghaddam, Z.A.: Interacting entropy-corrected holographic dark energy and IR cut-off length. Int. J. Theor. Phys. 53, 125 (2014a)

    Article  MATH  Google Scholar 

  • Sadeghi, J., Pourhassan, B., Khurshudyan, M., Farahani, H.: Time-dependent density of modified cosmic Chaplygin gas with variable cosmological constant in non-flat universe. Int. J. Theor. Phys. 53, 911 (2014b)

    Article  MATH  Google Scholar 

  • Thakur, P., Ghose, S., Paul, B.C.: Modified Chaplygin gas and constraints on its B parameter from cold dark matter and unified dark matter energy cosmological models. Mon. Not. R. Astron. Soc. 397, 1935 (2009)

    Article  ADS  Google Scholar 

  • Velasquez-Toribio, A.M., Bedran, M.L.: Fitting cosmological data to the function q(z) from GR theory: modified Chaplygin gas. Braz. J. Phys. 41, 59 (2011)

    Article  ADS  Google Scholar 

  • Wang, J., Wu, Y.-B., Wang, D., Yang, W.-Q.: The extended analysis on new generalized Chaplygin gas. Chin. Phys. Lett. 26(8), 089801 (2009)

    Article  ADS  Google Scholar 

  • Xu, L., Lu, J., Wang, Y.: Revisiting generalized Chaplygin gas as a unified dark matter and dark energy model. Eur. Phys. J. C 72, 1883 (2012)

    Article  ADS  Google Scholar 

  • Zarrouki, R., Bennai, M.: Chaplygin gas braneworld inflation according to WMAP7 data. Phys. Rev. D 82, 123506 (2010)

    Article  ADS  Google Scholar 

  • Zhai, X.-H., Xu, Y.-D., Li, X.-Z.: Viscous generalized Chaplygin gas. Int. J. Mod. Phys. D 15, 1151 (2006)

    Article  ADS  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Physics Department, Istanbul Technical University, Istanbul, Turkey

    E. O. Kahya & B. Pourhassan

Authors
  1. E. O. Kahya
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. B. Pourhassan
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to B. Pourhassan.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Kahya, E.O., Pourhassan, B. Observational constraints on the extended Chaplygin gas inflation. Astrophys Space Sci 353, 677–682 (2014). https://doi.org/10.1007/s10509-014-2069-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10509-014-2069-6

Keywords

Search

Navigation