Isaac Scientific Publishing

Advances in Astrophysics

Two Fluid Scenario for Axially Symmetric Dark Energy Cosmological Models in Brans-Dicke Theory of Gravitation

Download PDF (270.4 KB) PP. 54 - 61 Pub. Date: May 1, 2016

DOI: 10.22606/adap.2016.11005

Author(s)

  • V.U.M.Rao
    Department of Applied Mathematics, Andhra University, Visakhapatnam, A.P., India
  • M.Vijaya Santhi*
    Department of Applied Mathematics, Andhra University, Visakhapatnam, A.P., India
  • N.Sandhya Rani
    Department of Applied Mathematics, Andhra University, Visakhapatnam, A.P., India

Abstract

Spatially homogeneous axially symmetric cosmological models filled with barotropic fluid and dark energy are obtained in a scalar tensor theory of gravitation proposed by Brans and Dicke (1961). In these models one fluid is the radiation distribution which represents the cosmic microwave background and the other fluid is the perfect fluid representing the matter content of the universe. Also some important features of the models, thus obtained, have been discussed.

Keywords

Axially symmetric metric, Brans-Dicke theory, Two fluid, Dark energy, EoS parameter.

References

[1] A.G., Riess, et al, ´Observational evidence from supernovae for an accelerating universe and a cosmological constant´, Astron. J, 1998, pp. 1009 -1038.

[2] S., Permutter, et al,´Measurements of Ω and Λ from 42 High-Red Shift Supernovae´, Astrophys. J.1999, pp. 517-565.

[3] N.A., Bahcall, et al,´The Cosmic Triangle: Revealing the State of the Universe´, Science 1999, 1481-1488.

[4] M., Tegmark, et al.´Cosmological parameters from SDSS and WMAP´, Phys. Rev. D ,2004, 69, 103501.

[5] C.L., Bennet, et al, ´First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters´, Astrophys. J. Suppl. Ser. 148, 1 2003, pp.175-194.

[6] M.R., Nolta, et al,´Five-Year Wilkinson Microwave Anisotropy Probe (WMAP1) Observations: Angular Power Spectra´, arXiv:0803.0593[astro-ph] (2008).

[7] G., Hinshaw, et al, ´Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Final Maps and Results´, Astrophys. J. Suppl. Ser,2009, pp.225-245.

[8] V., Sahni, Starobinsky, A.: Int. J. Mod. Phys. D 51, 105, 2006.

[9] V., Sahni, A., Shafieloa, A., Starobinsky,´Two new diagnostics of dark energy´, Phys. Rev. D 78, 103502 ,2008.

[10] J., Weller, A., Albrecht, Phys. Rev. D 56, R4439, 1997.

[11] D., Huterer, M.S., Turner, ´Probing dark energy: Methods and strategies´, Phys. Rev. D 64, 123527 ,2001.

[12] L.M., Krauss, K., Jones-Smith, D, Huterer, ´Dark energy, a cosmological constant, and type Ia supernovae´, New J. Phys. 9, 141 ,2007.

[13] S.,Linden, J.M., Virey,´Test of the Chevallier-Polarski-Linder parameterization for rapid dark energy equation of state transitions´, Phys. Rev. D 78, 023526 ,2008.

[14] A.A., Usmani, et al, ´The dark energy equation of state´,Mon. Not. R. Astron. Soc. 386, 2008, pp. L92-L95.

[15] C.W., Chen, J.A., Gu, P, Chen, Mod. Phys. Lett. A 24, 2009, pp. 1649-1657.

[16] M., Jamil, E.N., Saridakis, M.R Setare,´Thermodynamics of dark energy interacting with dark matter and radiation´, Phys. Rev. D 81, 023007 (2010).

[17] S., Kumar, A.K., Yadav, Mod. Phys. Lett. A 26, 647 (2011)

[18] D.R.K., Reddy, B., Satyanarayana, R.L., Naidu, ´Five dimensional dark energy model in a scalar-tensor theory of gravitation´, Astrophys. Space Sci. 339, 2012, pp.401-404.

[19] T., Singh, R., Chaubey, Res. Astron. Astrophys. 12, 473, 2012.

[20] T., Singh, R., Chaubey,: Canad. J. Phys. 91, 180, 2013.

[21] D.R.K., Reddy, R.S. Kumar, ´Two-fluid atmosphere from decelerating to accelerating FRW dark energy models´, Int. J. Theor. Phys. 52, 1362, 2013.

[22] A., Pradhan, H., Amirhashchi, B., Saha, ´An interacting and non-interacting two-fluid scenario for dark energy in FRW universe with constant deceleration parameter´, Astrophys. Space Sci. 333 ,2011, pp. 343-350.

[23] R.L., Naidu, B., Satyanarayana, D.R.K. Reddy, ´Bianchi Type-V Dark Energy Model in a Scalar-Tensor Theory of Gravitation´, Int. J. Theor. Phys. 51, 2012, pp. 1997 - 2002.

[24] R.L., Naidu, B., Satyanarayana, D.R.K. Reddy, ´Bianchi Type-III Dark Energy Model in a Saez-Ballester Scalar-Tensor Theory´, Int. J. Theor. Phys. 51,2012, pp. 2857-2862.

[25] H., Amirhashchi, A., Pradhan, B., Saha, ´Two-fluid scenario for dark energy models in an FRW universerevisited´, Chin. Phys. Lett. 28, 039801,2011.

[26] H., Amirhashchi, A., Pradhan, H., Zainuddin, ´Two-fluid atmosphere from decelerating to accelerating FRW dark energy models´, Int. J. Theor. Phys. 50, 3529, 2011.

[27] B., Saha, H., Amirhashch, A., Pradhan, Astrophys. Space Sci. 342, 257, 2012.

[28] V.U.M., Rao, T., Vinutha, K.V.S., Sireesha, ´Axially symmetric string cosmological models in Brans-Dicke theory of gravitation´, Astrophys. Space sci. 323,2009,pp. 401-405.

[29] .U.M., Rao, M., Vijaya Santhi, ´Bianchi type-II, VIII & IX perfect fluid magnetized cosmological models in Brans-Dicke theory of gravitation´, Astrophys Space Sci 337, 2012, pp.387-392.

[30] V.U.M., Rao, K.V.S., Sireesha, ´A higher-dimensional string cosmological model in a scalar-tensor theory of gravitation´, Eur. Phys. J. Plus 127, 33,2012a, pp.1-6.

[31] V.U.M., Rao, K.V.S., Sireesha, ´Bianchi Types II, VIII and IX String Cosmological Models with Bulk Viscosity in Brans-Dicke Theory of Gravitation´, Int. J. Theor. Phys. 51, 2012, pp.3013 -3020.

[32] V. U. M., Rao, M., Vijaya Santhi, T., Vinutha, and G., Sreedevi Kumari, ´LRS Bianchi Type-I Dark Energy Cosmological Model in Brans-Dicke Theory of Gravitation´, Int. J. Theor. Phys. 51,2012, pp. 3303-3310.

[33] D.R.K., Reddy, D., Bharati, G.V., Vijaya Lakshmi, ´Kantowski–Sachs bulk viscous cosmological model in a scalar–tensor theory of gravitation´, Astrophys. Space Sci., 351,2014, pp. 307.

[34] V.U.M., Rao, V., Jayasudha, ´Bianchi Type-V dark energy model in Brans-Dicke theory of gravitation´, Astrophys. Space Sci. 357, 2015, pp1-4.

[35] V.U.M., Rao, V., Jayasudha, ´Bianchi type-VI0 anisotropic dark energy model in Brans–Dicke theory of gravitation´, Astrophys. Space Sci. 358, 38, 2015.

[36] V.U.M., Rao, V., Jayasudha, ´Five dimensional spherically symmetric cosmological model in Brans-Dicke theory of gravitation´, Astrophys. Space Sci. 358, 29 (2015)

[37] S.,Bhattacharya, and T.M., Karade, ´Uniform anisotropic cosmological model with string source´, Astrophys. Space sci., 202, 69-75 (1993).

[38] O., Akarsu, C. B. Kilinc, ´LRS Bianchi type I models with anisotropic dark energy and constant deceleration paramete´, r Gen. Relativ. Gravit. 42, 119-140 (2010a).

[39] O., Akarsu, C. B. Kilinc, ´Bianchi type III models with anisotropic dark energy´, Gen. Relativ. Gravit. 42, 763-775 (2010b).

[40] L., Amendola, et al. ´Consequences of dark matter-dark energy interaction on cosmological parameters derived from type Ia supernova data´, Phys. Rev. D 75, 083506 (2007).

[41] Z. K., Guo, et al.´Probing the coupling between dark components of the universe´, Phys. Rev. D 76, 023508 (2007).