Some Spherically Symmetric R/W Universe Interacting with Vacuum B–D Scalar Field

  • K. P. Singh Department of Mathematical Sciences, Bodoland University, Kokrajhar, B.T.C, Assam, India
  • M. Dewri Department of Mathematical Sciences, Bodoland University, Kokrajhar, B.T.C, Assam, India
Keywords: Brans–Dicke theory, vacuum cosmological model, spherically symmetric scalar field

Abstract

We study a spherically symmetric vacuum cosmological model of the Universe interacting with the Brans–Dicke (B–D) scalar field in the Robertson–Walker (R/W) metric. Exact time-dependent solutions of B–D vacuum field equations are obtained in two different cases. The physical and dynamical properties of the model are discussed in detail.

References

C. Brans and R.H. Dicke, Phys. Rev. 124, 925 (1961). https://doi.org/10.1103/PhysRev.124.925

B.K. Sahoo and L.P. Singh, Mod. Phys. Letter A 17, 2409 (2002). https://doi.org/10.1142/S0217732302008368

A.R. El-Nabulsi, Mod. Phys. Letter A 23, 401 (2008). https://doi.org/10.1142/S0217732308026327

H. Nariri, Prog. Theor. Phys. 47, 1824 (1972). https://doi.org/10.1143/PTP.47.1824

A.I. Janis, D.C. Robinson, and J. Winicour, Phys. Rev. 186, 1729 (1969). https://doi.org/10.1103/PhysRev.186.1729

R. Tabensky and A.H. Taub, Commun. Math. Phys. 29, 61 (1973). https://doi.org/10.1007/BF01661153

J.R. Rao, R.N. Tiwari, and K.S. Bhamra, Annals of Physics 87, 480 (1974). https://doi.org/10.1016/0003-4916(74)90045-1

R.N. Tiwari and B.K. Nayak, J. Phys. A: Math. Gen. 9, 369 (1976); doi:10.1088/0305-4470/9/3/007. https://doi.org/10.1088/0305-4470/9/3/007

P.P. Rao, R.N. Tiwari, Acta Phys. Acad. Sci. Hung. 7, 281 (1979). https://doi.org/10.1007/BF03158226

V.B. Johri, G.K. Goswami, and R.C. Srivastava, Prog. Theor. Phys. 69, 1 (1983). https://doi.org/10.1143/PTP.69.341

S. Ram and D.K. Singh, Astrophys. Space Sci. 95, 219 (1983). https://doi.org/10.1007/BF00661177

T. Singh and T. Singh, Astrophys. Space Sci. 100, 309 (1984). https://doi.org/10.1007/BF00651606

N. Raizi and R. Askari, Mon. Not. R. Astron. Soc. 261, 229 (1993). https://doi.org/10.1093/mnras/261.1.229

A. Bhadra and K. Sarkar, Gen. Relativ. Gravit. 37, 2189 (2005). https://doi.org/10.1007/s10714-005-0181-1

K.S. Adhav, M.R. Ugale, C.B. Kale, and M.P. Bhende, Int. J. Theor. Phys. 48, 178 (2009). https://doi.org/10.1007/s10773-008-9793-z

A. Baykal, D.K. Ciftci, and O. Delice, arXiv:0910.1342v3 (2010).

P. Rai, L.N. Rai, and V.K. Singh, Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. 83, 55 (2013).

S. Weinberg, Gravitation and Cosmology (Wiley, New York, 1972).

Published
2019-01-10
How to Cite
Singh, K., & Dewri, M. (2019). Some Spherically Symmetric R/W Universe Interacting with Vacuum B–D Scalar Field. Ukrainian Journal of Physics, 60(11), 1177. https://doi.org/10.15407/ujpe60.11.1177
Section
Astrophysics and cosmology