Research PapersNo Access

GRAVITATIONAL LENSING CONSTRAINT ON THE COSMIC EQUATION OF STATE

DEEPAK JAIN

Department of Physics and Astrophysics, University of Delhi, Delhi-110 007, India

Also at Deen Dayal Upadhyaya College, University of Delhi, Delhi 110015, India.

Search for more papers by this author

ABHA DEV

Department of Physics and Astrophysics, University of Delhi, Delhi-110 007, India

Search for more papers by this author

N. PANCHAPAKESAN

Department of Physics and Astrophysics, University of Delhi, Delhi-110 007, India

Search for more papers by this author

S. MAHAJAN

Department of Physics and Astrophysics, University of Delhi, Delhi-110 007, India

Search for more papers by this author

, and

V. B. BHATIA

Department of Physics and Astrophysics, University of Delhi, Delhi-110 007, India

Search for more papers by this author

https://doi.org/10.1142/S0218271803003062Cited by:8 (Source: Crossref)

Abstract

Recent redshift-distance measurements of Type Ia supernovae (SNe Ia) at cosmological distances suggest that two-third of the energy density of the universe is dominated by dark energy component with an effective negative pressure. This dark energy component is described by the equation of state p_x = wρ_x (w ≥ - 1). We use gravitational lensing statistics to constrain the equation of state of this dark energy. We use n(Δθ), the image separation distribution function of lensed quasars, as a tool to probe w. We find that for the observed range of Ω_m ~ 0.2–0.4, w should lie between -0.8 ≤ w ≤ -0.4 in order to have five lensed quasars in a sample of 867 optical quasars. This limit is highly sensitive to lens and Schechter parameters and the evolution of galaxies.

You currently do not have access to the full text article.
Recommend the journal to your library today!

References

S. Perlmutteret al., Nature 391, 51 (1998), DOI: 10.1038/34124. Crossref, Web of Science, ADS, Google Scholar
S. Perlmutteret al., Astrophys. J. 517, 565 (1999), DOI: 10.1086/307221. Crossref, Web of Science, ADS, Google Scholar
A. Riesset al., Astron. J. 116, 1009 (1998), DOI: 10.1086/300499. Crossref, Web of Science, Google Scholar
P. M. Garnavichet al., Astrophys. J. 509, 74 (1998), DOI: 10.1086/306495. Crossref, Web of Science, ADS, Google Scholar
P. de Bernardiset al., Nature 404, 955 (2000), DOI: 10.1038/35010035. Crossref, Web of Science, ADS, Google Scholar
M. S. Turner, Physics Scripta T 85, 210 (2000). Crossref, Web of Science, ADS, Google Scholar
V. Sahni and A. A. Starobinsky, Int. J. Mod. Phys. D 9, 373 (2000). Link, Web of Science, ADS, Google Scholar
M. Ozer and M. O. Taha, Nucl. Phys. B287, 776 (1987); I. Waga, Astrophys. J. 414, 436 (1993); L. F. Bloomfield Torres and I. Waga, Mon. Not. R. Astron. Soc. 279, 712 (1996); V. Silveria and I. Waga, Phys. Rev. D56, 4625 (1997) . Google Scholar
B. Ratra and P. J. E. Peebles, Phys. Rev. D37, 3406 (1988); J. A. Frieman et al., Phys. Rev. Lett. 75, 2077 (1995); J. A. Frieman and I. Waga, Phys. Rev. D57, 4642 (1998); R. R. Caldwell, R. Dave and P. J. Steinhardt, Phys. Rev. Lett. 80, 1582 (1998); I. Zlatev, L. Wang and P. J. Steinhardt, Phys. Rev. Lett. 82, 896 (1999); I. Waga and J. A. Frieman, Phys. Rev. D62, 043521 (2000) . Google Scholar
D. Spergel and U. L. Pen, Astrophys. J. 491, L67 (1997), DOI: 10.1086/311074. Crossref, Web of Science, Google Scholar
M. S. Turner and M. White, Phys. Rev. D56, 4439 (1997); T. Chiba, N. Sugiyama and T. Nakamura, Mon. Not. R. Astron. Soc. 289, L5 (1997); D. Huterer and M. S. Turner, (2000) , arXiv:astro-ph/0012510 . Google Scholar
I. Waga and A. P. M. R. Miceli, Phys. Rev. D 59, 103507 (1999), DOI: 10.1103/PhysRevD.59.103507. Crossref, Web of Science, Google Scholar
J. A. S. Lima and J. S. Alcaniz, Mon. Not. R. Astron. Soc. 317, 893 (2000), DOI: 10.1046/j.1365-8711.2000.03695.x. Crossref, Web of Science, ADS, Google Scholar
L. Wanget al., Astrophys. J. 530, 17 (2000), DOI: 10.1086/308331. Crossref, Web of Science, ADS, Google Scholar
Z. H. Zhu, Int. J. Mod. Phys. D 9, 591 (2000). Link, Web of Science, ADS, Google Scholar
P. Schechter, Astrophys. J. 203, 297 (1976), DOI: 10.1086/154079. Crossref, Web of Science, ADS, Google Scholar
C. S. Kochanek, Astrophys. J. 466, 47 (1996), DOI: 10.1086/177538. Google Scholar
J. Lovedayet al., Astrophys. J. 390, 38 (1992), DOI: 10.1086/171284. Web of Science, Google Scholar
M. Fukugitaet al., Astrophys. J. 393, 3 (1992), DOI: 10.1086/171481. Crossref, Web of Science, ADS, Google Scholar
C. S. Kochanek, Astrophys. J. 419, 12 (1993), DOI: 10.1086/173455. Crossref, Web of Science, ADS, Google Scholar
M. Chiba and Y. Yoshii, Astrophys. J. 510, 42 (1999), DOI: 10.1086/306575. Crossref, Web of Science, ADS, Google Scholar
A. R. Cooray and D. Huterer, Astrophys. J. 513, L95 (1999), DOI: 10.1086/311927. Crossref, Web of Science, Google Scholar
D. Christlein, Astrophys. J. 545, 145 (2000), DOI: 10.1086/317797. Crossref, Web of Science, ADS, Google Scholar
D. Jainet al., Mod. Phys. Lett. A 15, 1 (2000), DOI: 10.1142/S0217732300000074. Link, Web of Science, Google Scholar
A. Dekel , D. Burstein and S. White , Critical Dialogues in Cosmology , ed. N. Turok ( World Scientific , Singapore , 1997 ) . Google Scholar
A. Balbiet al., Astrophys. J. 547, L89 (2001), DOI: 10.1086/318904. Crossref, Web of Science, Google Scholar
D. Jainet al., Int. J. Mod. Phys. A 13, 4227 (1998), DOI: 10.1142/S0217751X98002018. Link, Web of Science, ADS, Google Scholar
R. Takahashi and T. Chiba, preprint No. (2001) , arXiv:astro-ph/0106176 . Google Scholar
D. Rusin and M. Tegmark, preprint No. (2000) , arXiv:astro-ph/0008329 . Google Scholar
N. Sarbu, D. Rusin and C. Ma, Ap. J. L 561, 147 (2001), DOI: 10.1086/324679. Crossref, ADS, Google Scholar