Published September 30, 2022 | Version v1
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Analysis of cosmological bias within spherical collapse model

Creators

  • 1. Chikka Muniyapa Reddy University
  • 2. Chikka Muniyapa Reddy Institute of Technology

Description

The goal of our research work is to analyze cosmological bias parameter. Parametric equations of spherical collapse model are used to calculate the values of spherical collapse over density and mass variance, which is further used in bias formulae to find the values of cosmological bias. Spherical collapse over density has been calculated in the range of redshift 0 to 1. Also, it is compared with the value according to the spherical collapse model. Bias is one of the parameters which are utilized to infer cosmological parameters. Extracting the cosmological parameters is very much useful to know and understand about the birth and evolution of our universe. As there is no direct probe to get the idea about the existence of dark matter. Bias factor helps to analyze about dark matter. The bias coefficient of higher order terms in Taylor series expansion are found to be in ascending order. Increasing values of bias indicate the large-scale structure formation at current epoch is more and more clustered. Values of bias are discussed in result. Also, bias values have been analyzed for redshift in the range 2 to 0. The graph has been plotted bias versus redshift. Let's found bias decreases with decrease of redshift. That means bias evolves with redshift. Bias value less than one and negative value of bias implies that structure formation is in linear region and higher values of bias indicates the structure formation occurs in nonlinear region. Negative value of bias is also called as antibias. That means the structure formation has not started yet. It is still in linear region. The bias value nearly equal to one indicates that the structure formation has been transformed from linear region to nonlinear region. So, the result showing bias values greater than one indicates that evolution of structure formation occurs in nonlinear region.

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References

  • Cooray, A., Sheth, R. (2002). Halo models of large-scale structure. Physics Report, 372 (1), 1–129. doi: http://doi.org/10.1016/s0370-1573(02)00276-4
  • Neyman, J., Scott, E. L., Shane, C. D. (1953). On the spatial distribution of galaxies:a specific model. The Astrophysical Journal, 117, 92. doi: http://doi.org/10.1086/145671
  • Gunn, J. E., Richard, J., Gott, I. I. I. (1972). On the in fall of matter into clusters of galaxies and some effects on their evolution. The Astrophysical Journal, 176. doi: http://doi.org/10.1086/151605
  • Scoccimarro, R. (1997). Cosmological perturbations: entering the nonlinear regime. The Astrophysical Journal, 487 (1), 1–17. doi: http://doi.org/10.1086/304578
  • Kaiser, N. (1984). On the spatial correlations of Abell clusters. The Astrophysical Journal, 284, L9-L12. doi: http://doi.org/10.1086/184341
  • Mo, H. J., White, S. D. M. (1996). An analytic model for the spatial clustering of dark matter haloes. Monthly notices of the Royal Astronomical Society, 282 (2), 347–361. doi: http://doi.org/10.1093/mnras/282.2.347
  • Press, W. H., Schechter, P. (1974). Formation of galaxies and clusters of galaxies by self-similar gravitational condensation. The Astrophysical Journal, 187, 425–438. doi: http://doi.org/10.1086/152650
  • Sheth, R. K., Tormen, G. (1999). Large scale bias and the peak background split. Monthly notices of the Royal Astronomical Society, 308, 119. doi: http://doi.org/10.1046/j.1365-8711.1999.02692.x
  • Coil, A. L. (2013). The Large-Scale Structure of the Universe. Planets, Stars and Stellar Systems. Springer, 387–421. doi: http://doi.org/10.1007/978-94-007-5609-0_8
  • Theuns, T. (2000). Physical cosmology. Durham. Durham University: Institute of computational cosmology, Ogdencenter for fundamental physics.
  • N, Spergel, D., Verde, L., V, Peiris, H., Komatsu, E., R, Nolta, M., L, Bennett, C., et al. (2003). First-Year Wilkinson microwave anisotropy probe (WMAP) observations: determinationof cosmological parameters. The Astrophysical Journal Supplement Series, 148 (1), 175–194. doi: http://doi.org/10.1086/377226
  • Basilokas, S., Plionis, M. (2001). Cosmological evolution of linear bias. The Astrophysical Journal, 550 (2), 522–527. doi: http://doi.org/10.1086/319797
  • Colin, P., Klypin, A. A., Kravtsov, A. V., Khokhlov, A. M. (1999). Evolution of bias in different cosmological models. The Astrophysical Journal, 523 (1), 32–53. doi: http://doi.org/10.1086/307710
  • Mo, H. J., Jing, Y. P., White, S. D. M. (1997). High orders of peaks and haloes: a step towards understanding galaxy biasing. Monthly Notices of the Royal Astronomical Society, 284 (1), 189–201. doi: http://doi.org/10.1093/mnras/284.1.189
  • Scoccimarro, R., Sheth, R., Hui, L., Jain, B. (2001). How many galaxies fit in a halo? Constraints on galaxy formation efficiency from spatial clustering. The Astrophysical Journal, 546 (1), 20–34. https://doi.org/10.1086/318261
  • Field, G.; Sandage, A., Sandage, M., Kristian, J. (Eds.) (1972). Galaxies and the Universe. Stars and Stellar Systems. Vol. 9. Chicago: University of Chicago Press.
  • Gursky, H., Kellogg, E., Murray, S., Leong, C., Tananbaum, H., Giacconi, R. (1971). Detection of x-rays from the Seyfert galaxies NGC 1275 and NGC 4151 by UHURU satellite. The Astrophysical Journal, 167, L43. doi: http://doi.org/10.1086/180713
  • Shanks, T., Bean, A. J., Efstathiou, G., Ellis, R. S., Fong, R., Peterson, B. A. (1983). The clustering of galaxies in a complete redshift survey. The Astrophysical Journal, 274, 529. doi: http://doi.org/10.1086/161466
  • Gelb, J. M., Bertschinger, E. (1994). Cold dark matter. 1: The formation of dark halos. The Astrophysical Journal, 436, 467. doi: http://doi.org/10.1086/174922
  • Gelb, J. M., Bertschinger, E. (1994). Cold dark matter. 2: Spatial and velocity statistics. The Astrophysical Journal, 436, 491. doi: http://doi.org/10.1086/174923
  • Morton, D. C., Chevalier, R. A. (1973). Velocity dispersions in galaxies. II. The ellipticals NGC 1889, 3115, 4473, and 4494. The Astrophysical Journal, 179, 55. doi: http://doi.org/10.1086/151846
  • Kauffmann, G., Colberg, J. M., Diaferio, A., White, S. D. M. (1999). Clustering of galaxies in a hierarchical universe – I. Methods and results at z = 0. Monthly Notices of the Royal Astronomical Society, 303 (1), 188–206. doi: http://doi.org/10.1046/j.1365-8711.1999.02202.x
  • Kauffmann, G., Colberg, J. M., Diaferio, A., White, S. D. M. (1999). Clustering of galaxies in a hierarchical universe – II. Evolution to high redshift. Monthly Notices of the Royal Astronomical Society, 307 (3), 529–536. doi: http://doi.org/10.1046/j.1365-8711.1999.02711.x
  • Aragón-Calvo, M. A., Van De Weygaert, R., Jones, B. J. T. (2010). Multiscale phenomenology of the cosmic web. Monthly Notices of the Royal Astronomical Society, 408 (4), 2163–2187. doi: http://doi.org/10.1111/j.1365-2966.2010.17263.x
  • Bond, N. A., Strauss, M. A., Cen, R. (2010). Crawling the cosmic network: identifying and quantifying filamentary structure. Monthly Notices of the Royal Astronomical Society, 409 (1), 156–168. doi: http://doi.org/10.1111/j.1365-2966.2010.17307.x
  • Bacon, D. J., Massey, R. J., Refregier, A. R., Ellis, R. S. (2003). Joint cosmic shear measurements with the Keck and William Herschel Telescopes. Monthly Notices of the Royal Astronomical Society, 344 (3), 673–685. doi: http://doi.org/10.1046/j.1365-8711.2003.06877.x
  • Bahcall, J. N., Gonzalez-Garcia, M. C., Penya-Garay, C. (2002). Before and after: How has the SNO NC measurement changed things. Journal of High Energy Physics, 2002 (07), 054. doi: http://doi.org/10.1088/1126-6708/2002/07/054
  • Klypin, A., Gottlober, S., Kravtsov, A. V., Khokhlov, A. M. (1999). Galaxies inN‐Body Simulations: Overcoming the Overmerging Problem. The Astrophysical Journal, 516 (2), 530–551. doi: http://doi.org/10.1086/307122
  • Mann, R. G., Peacock, J. A., Heavens, A. F. (1998). Eulerian bias and the galaxy density field. Monthly Notices of the Royal Astronomical Society, 293 (3), 209–221. doi: http://doi.org/10.1046/j.1365-8711.1998.01053.x
  • Matarrese, S., Coles, P., Lucchin, F., Moscardini, L. (1997). Redshift evolution of clustering. Monthly Notices of the Royal Astronomical Society, 286 (1), 115–132. doi: http://doi.org/10.1093/mnras/286.1.115