Journal Menu
- About this Journal
- Abstracting and Indexing
- Aims and Scope
- Article Processing Charges
- Articles in Press
- Author Guidelines
- Bibliographic Information
- Citations to this Journal
- Contact Information
- Editorial Board
- Editorial Workflow
- Free eTOC Alerts
- Publication Ethics
- Reviewers Acknowledgment
- Submit a Manuscript
- Subscription Information
- Table of Contents
Advances in Mathematical Physics
Volume 2012 (2012), Article ID 714350, 11 pages
doi:10.1155/2012/714350
Research Article
Statefinder Diagnostic for Variable Modified Chaplygin Gas in LRS Bianchi Type I Universe
Department of Mathematics, Sant Gadge Baba Amravati University, Amravati 444602, India
Received 7 March 2012; Revised 12 May 2012; Accepted 3 June 2012
Academic Editor: Remi Leandre
Copyright © 2012 K. S. Adhav. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Linked References
- S. Perlmutter, G. Aldering, G. Goldhaber et al., “Measurements of Ω and Λ from 42 high-redshift Supernovae,” Astrophysical Journal Letters, vol. 517, no. 2, pp. 565–586, 1999.
- A. G. Riess, A. V. Filippenko, P. Challis et al., “Observational evidence from supernovae for an accelerating universe and a cosmological constant,” Astronomical Journal, vol. 116, no. 3, pp. 1009–1038, 1998.
- P. De Bernardis, P. A. R. Ade, J. J. Bock et al., “A flat Universe from high-resolution maps of the cosmic microwave background radiation,” Nature, vol. 404, no. 6781, pp. 955–959, 2000. View at Publisher · View at Google Scholar
- S. Hanany, P. Ade, A. Balbi et al., “MAXIMA-1: a measurement of the cosmic microwave background anisotropy on angular scales of -5°,” Astrophysical Journal Letters, vol. 545, no. 1, pp. L5–L9, 2000.
- D. N. Spergel, R. Bean, O. Doré et al., “Three-year Wilkinson Microwave Anisotropy Probe (WMAP) observations: implications for cosmology,” Astrophysical Journal, vol. 170, no. 2, pp. 377–408, 2007. View at Publisher · View at Google Scholar
- R. R. Caldwell, R. Dave, and P. J. Steinhardt, “Cosmological imprint of an energy component with general equation of state,” Physical Review Letters, vol. 80, no. 8, pp. 1582–1585, 1998.
- A. R. Liddle and R. J. Scherrer, “Classification of scalar field potentials with cosmological scaling solutions,” Physical Review D, vol. 59, Article ID 023509, 1999.
- P. J. Steinhardt, L. Wang, and I. Zlatev, “Cosmological tracking solutions,” Physical Review D, vol. 59, Article ID 123504, 1999.
- G. Dvali, G. Gabadadze, and M. Porrati, “Metastable gravitons and infinite volume extra dimensions,” Physics Letters, Section B, vol. 484, no. 1-2, pp. 112–118, 2000. View at Publisher · View at Google Scholar · View at Scopus
- C. Deffayet, “Cosmology on a brane in Minkowski bulk,” Physics Letters, Section B, vol. 502, pp. 199–208, 2001. View at Publisher · View at Google Scholar
- S. Capozziello, S. Carloni, and A. Troisi, “Quintessence without scalar fields,” http://arxiv.org/abs/astro-ph/0303041.
- S. M. Carroll, V. Duvvuri, M. Trodden, and M. S. Turner, “Is cosmic speed-up due to new gravitational physics?” Physical Review D, vol. 70, no. 4, Article ID 043528, 2004. View at Publisher · View at Google Scholar
- S. Nojiri and S. D. Odintsov, “Modified gravity with negative and positive powers of curvature: unification of inflation and cosmic acceleration,” Physical Review D, vol. 68, Article ID 123512, 2003. View at Publisher · View at Google Scholar
- P. K. Townsend and M. N. R. Wohlfarth, “Accelerating cosmologies from compactification,” Physical Review Letters, vol. 91, no. 6, Article ID 061302, 4 pages, 2003. View at Scopus
- G. W. Gibbons, “Aspects of supergravity theories,” in Supersymmetry, Supergravity and Related Topics, F. del Aguila, J. A. de Azcarraga, and L. E. Ibanez, Eds., pp. 346–351, World Scientific, 1985.
- J. Maldacena and C. Nuñez, “Supergravity description of field theories on curved manifolds and a no go theorem,” International Journal of Modern Physics A, vol. 16, no. 5, pp. 822–855, 2001.
- N. Ohta, “Accelerating cosmologies from spacelike branes,” Physical Review Letters, vol. 91, no. 6, Article ID 061303, 4 pages, 2003. View at Scopus
- M. N. R. Wohlfarth, “Accelerating cosmologies and a phase transition in M-theory,” Physics Letters, Section B, vol. 563, no. 1-2, pp. 1–5, 2003. View at Publisher · View at Google Scholar
- S. Roy, “Accelerating cosmologies from M/string theory compactifications,” Physics Letters, Section B, vol. 567, no. 3-4, pp. 322–329, 2003. View at Publisher · View at Google Scholar
- J. K. Webb, M. T. Murphy, V. V. Flambaum et al., “Further evidence for cosmological evolution of the fine structure constant,” Physical Review Letters, vol. 87, no. 9, Article ID 091301, pp. 1–4, 2001.
- J. M. Cline and J. Vinet, “Problems with time-varying extra dimensions or “Cardassian expansion” as alternatives to dark energy,” Physical Review D, vol. 68, Article ID 025015, 2003. View at Publisher · View at Google Scholar
- N. Ohta, “A study of accelerating cosmologies from superstring/M theories,” Progress of Theoretical Physics, vol. 110, no. 2, pp. 269–283, 2003.
- N. Ohta, “Accelerating cosmologies and inflation from M/superstring theories,” International Journal of Modern Physics A, vol. 20, no. 1, pp. 1–40, 2005. View at Publisher · View at Google Scholar
- C. M. Chen, et al., “Hyperbolic space cosmologies,” Journal of High Energy Physics, vol. 10, article 058, 2003. View at Publisher · View at Google Scholar
- E. Bergshoeff, A. Collinucci, U. Gran, M. Nielsen, and D. Roest, “Transient quintessence from group manifold reductions or how all roads lead to Rome,” Classical and Quantum Gravity, vol. 21, no. 8, pp. 1947–1969, 2004. View at Publisher · View at Google Scholar
- Y. Gong and A. Wang, “Acceleration from M theory and fine-tuning,” Classical and Quantum Gravity, vol. 23, pp. 3419–3426, 2006. View at Publisher · View at Google Scholar
- I. P. Neupane and D. L. Wiltshire, “Accelerating cosmologies from compactification with a twist,” Physics Letters, Section B, vol. 619, no. 3-4, pp. 201–207, 2005. View at Publisher · View at Google Scholar
- I. P. Neupane and D. L. Wiltshire, “Cosmic acceleration from M theory on twisted spaces,” Physical Review D, vol. 72, Article ID 083509, 2005. View at Publisher · View at Google Scholar
- K.-I. Maeda and N. Ohta, “Inflation from superstring and M-theory compactification with higher order corrections,” Physical Review D, vol. 71, no. 6, Article ID 063520, pp. 1–27, 2005. View at Publisher · View at Google Scholar
- I. P. Neupane, “Accelerating universes from compactification on a warped conifold,” Physical Review Letters, vol. 98, no. 6, Article ID 061301, 2007. View at Publisher · View at Google Scholar
- Y. Gong, A. Wang, and Q. Wu, “Cosmological constant and late transient acceleration of the universe in the Horava-Witten heterotic M-theory on S 1 / Z 2,” Physics Letters, Section B, vol. 663, no. 3, pp. 147–151, 2008. View at Publisher · View at Google Scholar
- P. R. Pereira, M. F. A. Da Silva, and R. Chan, “Anisotropic self-similar cosmological model with dark energy,” International Journal of Modern Physics D, vol. 15, no. 7, pp. 991–999, 2006. View at Publisher · View at Google Scholar
- C. F. C. Brandt, R. Chan, M. A. F. Da Silva, and J. F. V. Da Rocha, “Inhomogeneous dark energy and cosmological acceleration,” General Relativity and Gravitation, vol. 39, no. 10, pp. 1675–1687, 2007. View at Publisher · View at Google Scholar
- E. J. Copeland, M. Sami, and S. Tsujikawa, “Dynamics of dark energy,” International Journal of Modern Physics D, vol. 15, no. 11, pp. 1753–1935, 2006. View at Publisher · View at Google Scholar · View at Scopus
- T. Padmanabhan, “Dark energy and gravity,” General Relativity and Gravitation, vol. 40, no. 2-3, pp. 529–564, 2008. View at Publisher · View at Google Scholar
- T. Koivisto and D. F. Mota, “Anisotropic dark energy: dynamics of the background and perturbations,” Journal of Cosmology and Astroparticle Physics, vol. 06, no. 6, article 018, 2008.
- S. Bijan, Chinese Journal of Physics, vol. 43, p. 1035, 2005.
- T. Singh and R. Chaubey, “Bianchi type-V cosmological models with perfect fluid and dark energy,” Astrophysics and Space Science, vol. 319, no. 2–4, pp. 149–154, 2009. View at Publisher · View at Google Scholar
- O. Akarsu and C. B. Kilinç, “Bianchi type III models with anisotropic dark energy,” General Relativity and Gravitation, vol. 42, no. 4, pp. 763–775, 2010. View at Publisher · View at Google Scholar
- K. S. Adhav, A. S. Bansod, S. L. Munde, and R. G. Nakwal, “Bianchi type-VI0 cosmological models with anisotropic dark energy,” Astrophysics and Space Science, vol. 332, no. 2, pp. 497–502, 2011. View at Publisher · View at Google Scholar · View at Scopus
- T. Matos and L. A. Ureña-López, “Quintessence and scalar dark matter in the Universe,” Classical and Quantum Gravity, vol. 17, pp. L75–L81, 2000. View at Publisher · View at Google Scholar
- C. Wetterich, “Cosmon dark matter?” Physical Review D, vol. 65, no. 12, Article ID 123512, 2002. View at Publisher · View at Google Scholar
- T. Padmanabhan and T. R. Choudhury, “Can the clustered dark matter and the smooth dark energy arise from the same scalar field?” Physical Review D, vol. 66, Article ID 081301, 2002.
- A. Kamenshchik, U. Moschella, and V. Pasquier, “An alternative to quintessence,” Physics Letters, Section B, vol. 511, no. 2–4, pp. 265–268, 2001. View at Publisher · View at Google Scholar · View at Scopus
- M. C. Bento, O. Bertolami, and A. A. Sen, “Generalized Chaplygin gas, accelerated expansion, and dark-energy-matter unification,” Physical Review D, vol. 66, Article ID 043507, 2002. View at Publisher · View at Google Scholar
- U. Debnath, A. Banerjee, and S. Chakraborty, “Role of modified Chaplygin gas in accelerated universe,” Classical and Quantum Gravity, vol. 21, no. 23, pp. 5609–5617, 2004. View at Publisher · View at Google Scholar · View at Scopus
- Z.-K. Guo and Y.-Z. Zhang, “Cosmology with a variable Chaplygin gas,” Physics Letters, Section B, vol. 645, no. 4, pp. 326–329, 2007. View at Publisher · View at Google Scholar
- A. G. Riess, L.-G. Sirolger, J. Tonry et al., “Type Ia supernova discoveries at z > 1 from the hubble space telescope: evidence for past deceleration and constraints on dark energy evolution,” Astrophysical Journal Letters, vol. 607, no. 2 I, pp. 665–687, 2004. View at Publisher · View at Google Scholar
- U. Debnath, “Variable modified Chaplygin gas and accelerating universe,” Astrophysics and Space Science, vol. 312, no. 3-4, pp. 295–299, 2007. View at Publisher · View at Google Scholar
- M. Jamil and M. A. Rashid, “Interacting modified variable Chaplygin gas in a non-flat universe,” European Physical Journal C, vol. 58, pp. 111–114, 2008. View at Publisher · View at Google Scholar
- V. Sahni, T. D. Saini, A. A. Starobinsky, and U. Alam, “Statefinder—a new geometrical diagnostic of dark energy,” JETP Letters, vol. 77, no. 5, pp. 201–206, 2003. View at Publisher · View at Google Scholar · View at Scopus
- U. Debnath, “Emergent universe and the phantom tachyon model,” Classical and Quantum Gravity, vol. 25, Article ID 205019, 2008. View at Publisher · View at Google Scholar
- X. Zhang, “Statefinder diagnostic for holographic dark energy model,” International Journal of Modern Physics D, vol. 14, no. 9, pp. 1597–1606, 2005. View at Publisher · View at Google Scholar
- H. Wei and R.-G. Cai, “Statefinder diagnostic and w-w′ analysis for the agegraphic dark energy models without and with interaction,” Physics Letters, Section B, vol. 655, pp. 1–6, 2007. View at Publisher · View at Google Scholar
- X. Zhang, “Statefinder diagnostic for coupled quintessence,” Physics Letters, Section B, vol. 611, no. 1-2, pp. 1–7, 2005. View at Publisher · View at Google Scholar
- Z. G. Huang, X. M. Song, H. Q. Lu, and W. Fang, “Statefinder diagnostic for dilaton dark energy,” Astrophysics and Space Science, vol. 315, no. 1–4, pp. 175–179, 2008. View at Publisher · View at Google Scholar
- W. Zhao, “Statefinder diagnostic for the yang-mills dark energy model,” International Journal of Modern Physics D, vol. 17, pp. 1245–1254, 2008. View at Publisher · View at Google Scholar
- M.-G. Hu and X.-H. Meng, “Bulk viscous cosmology: statefinder and entropy,” Physics Letters, Section B, vol. 635, no. 4, pp. 186–194, 2006. View at Publisher · View at Google Scholar
- W. Zimdahl and D. Pavón, “Statefinder parameters for interacting dark energy,” General Relativity and Gravitation, vol. 36, no. 6, pp. 1483–1491, 2004. View at Publisher · View at Google Scholar
- Y. Shao and Y. Gui, “Statefinder parameters for tachyon dark energy model,” Modern Physics Letters A, vol. 23, pp. 65–71, 2008. View at Publisher · View at Google Scholar
- W. Chakraborty and U. Debnath, “Is modified Chaplygin gas along with barotropic fluid responsible for acceleration of the universe?” Modern Physics Letters A, vol. 22, no. 24, pp. 1805–1812, 2007. View at Publisher · View at Google Scholar
- S. Li, “Statefinder diagnosis for the Palatini f(R) gravity theories,” http://arxiv.org/abs/1002.3867.
- V. Gorini, “The Chaplygin gas as a model for dark energy,” http://arxiv.org/abs/gr-qc/0403062.
- V. Gorini, A. Kamenshchik, and U. Moschella, “Can the Chaplygin gas be a plausible model for dark energy?” Physical Review D, vol. 67, Article ID 063509, 2003. View at Publisher · View at Google Scholar
- J. D. Barrow, “String-driven inflationary and deflationary cosmological models,” Nuclear Physics, Section B, vol. 310, no. 3-4, pp. 743–763, 1988.
- J. D. Barrow, “Graduated inflationary universes,” Physics Letters, Section B, vol. 235, pp. 40–43, 1990.
- A. Kamenshchik, U. Moschella, and V. Pasquier, “An alternative to quintessence,” Physics Letters, Section B, vol. 511, no. 2–4, pp. 265–268, 2001. View at Publisher · View at Google Scholar
- V. Gorini, A. Kamenshchik, U. Moschella, and V. Pasquier, “Tachyons, scalar fields, and cosmology,” Physical Review D, vol. 69, no. 12, Article ID 123512, 2004. View at Publisher · View at Google Scholar
- K. S. Adhav, “Statefinder diagnostic for modified Chaplygin gas in Bianchi type-V universe,” European Physical Journal Plus, vol. 126, no. 5, pp. 1–9, 2011. View at Publisher · View at Google Scholar
- K. S. Adhav, “Statefinder diagnostic for variable modified Chaplygin gas in Bianchi type-V universe,” Astrophysics and Space Science, vol. 335, no. 2, pp. 611–617, 2011. View at Publisher · View at Google Scholar
- S. Ram, M. Zeyauddin, and C. P. Singh, “Generalized chaplygin gas dominated anisotropic bianchi type-i cosmological models,” International Journal of Theoretical Physics, vol. 48, no. 1, pp. 50–60, 2009. View at Publisher · View at Google Scholar · View at Scopus